This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 24751. |
The rate law for a reaction is found to be : Rate =k [NO_(2)^(-) ],[ I^(-)][H^(+)]^(2) How would the rate of reaction change when(i) Concentration of H^(+) is doubled (ii) Concentration of I^(-) is halved(iii) Concentration of each of NO_(2)^(-),I^(-) and H^(+) are tripled? |
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Answer» Solution :Suppose intially the CONCENTRATIONS are : `[NO_(2)^(-)]=a molL^(-1),[I^(-)]=B molL^(-1)" and "[H^(+)]=c molL^(-1):." Rate "="k a b "c^(2)` (i) New `[H^(+)]=2c:." New Rate = k a b"(2" c")^(2)=4kabc^(2)=4` times (II) New `I^(-)=(b)/(2)"New Rate "=ka(b)/(2)c^(2)=(1)/(2)kabc^(2)`, i.e., rate of REACTION is halved. (III) New `[NO_(2)^(-)]=3" a",[I^(-)]=3" b",[H^(+)]=3" cNew Rate"=k(3" a")(3" b")(3" c")^(2)=81" k "abc^(2)=81` times. |
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| 24752. |
The rate law for a reaction is Rate = K [A] [B]^(3//2) Can the reaction be an elementary process ? Explain. |
| Answer» Solution :No, an elementary process WOULD have a rate LAW with orders equal to its molecularities and THEREFORE must be in integral form. | |
| 24753. |
The rate law for a reaction is : Rate = k[A]^(n) The rate of reaction remains same on doubling the concentration of A. The value of n is : |
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Answer» 0 |
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| 24754. |
The rate law expresses the relationship of the rate of a reaction to the rate constant and the concentration of the reactants raised to some powers for the general reaction. aA+bBtocC+dD Rate law takes the form r=k[A]^(x)[B]^(y) where x and y are number that must be determined experimentely k is the rate constant and [A] and [B] are concentration of A & B respectively. The varitation of concentration of 'A' with time in two experiments starting with two different initial concentration of 'A' is given by the following graph.The reaction is represented by A(aq)toB(aq) what is rate of reaction (M//min) when conc. of A in aqueous solution was 1.8 M: |
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Answer» 0.072 M `"MIN"^(-1)` `r_1/r_2=[A_1/A_2]^m implies 0.3/0.2=(1.5/1)^mimplies m=1 : " " 0.3/5=k(1.5),k=1/25` `r=1/25xx1.8=0.072 MMIN^(-1)` |
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| 24755. |
The rate law for a reaction between the substances A and B is given by Rate =k[A]^(n)[B]^(m) On doubling the concentration of A and halving the concentration of B, the ratio of the new rate to the earlier rate of the reaction will be |
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Answer» `m+n` New rate `= k(2A)^(n) (b)^(m)` `("New rate")/("Earlier rate") = (2^(n) a^(n) b^(m) 2^(-m))/(a^(n)b^(m)) = 2^(n) . 2^(-m) = 2^(n-m)` |
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| 24756. |
The rate law for a reaction between the substances A and B is given by rate =k[A]^(n)[B]^(m). On doubling the concentration of A and having the concentration of B, the ratio of the new rate to the earlier rate of the reaction will be |
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Answer» `m+n` |
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| 24757. |
The rate law expression for a hypothetic reaction: 2A +3B to 2C is (dx)/(dt)=k[A][B]^(2) The order of the reaction is |
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Answer» 1 |
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| 24758. |
The rate law for reaction between the substances A and B is given by : Rate = k[A]^(n) [B]^(m) on doubling the concentration of A and halving the cocentration of B the ratio of the new rate to the earlier rate of reaction will be : |
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Answer» m+n New rate rate = `k(2A)^(n) (b)/(2)` `("rate")/("rate")= (2^(n)a^(n)b^(m)2^(-m))/(a^(n)b^(m))` `=2^(n) .2^(-m) = 2^(n-m)` |
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| 24759. |
The rate law equation for the reaction A to B is found to be -(d[A])/(dt)=k[A]^(1//2) If [A]_(0) were the initial concentration of A, derive expressions for (i) rate constant in the integrated form(ii) half-life period of the reaction |
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Answer» Solution :(i) `-(d[A])/(DT)=k[A]^(1//2)" or "-(d[A])/([A]^(1//2))=k" dt"` Integrating both sides of the equation, `-int[A]^(1//2)d[A]=int k" dt or "-([A]^(1//2))/(1//2)=kt+I` or `-2[A]^(1//2)=kt+I""...(i)` When `t=0,[A]=[A_(0)]:.-2[A_(0)]^(1//2)=0+I` Substittuting this value of I in EQN. (i), we get `-2[A]^(1//2)=kt-2[A_(0)]^(1//2)" or "kt=2"{"[A_(0)]^(1//2)-[A]^(1//2)"}"" or "k=(2)/(t){[A_(0)]^(1//2)-[A]^(1//2)}` (ii) `t=t_(1//2)" when "[A]=[A_(0)]//2` `:.t_(1//2)=(2)/(k){[A_(0)]^(1//2)-([A_(0)]^(1//2))/(2^(1//2))}=(2)/(k)[A_(0)]^(1//2){1-(1)/(sqrt(2))}=(2)/(k)[A_(0)]^(1//2)(sqrt(2)-1)/(sqrt(2))" or "t_(1//2)=(sqrt(2)"("sqrt(2)-1")")/(k)[A_(0)]^(1//2)` |
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| 24760. |
The rate law experession for four reactions are give below . In which case the percentage increase in the rate of reaction would be maximum when the concentration of A is doubled ? |
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Answer» rate = k[A] |
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| 24761. |
The rate for the reaction, RCl+NaOH(aq)rarrROH+NaCl is given by rate=K_1[RCl]. The rate of the reaction is: |
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Answer» DOUBLED on doubling the CONCENTRATION of NaOH |
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| 24762. |
The rate for a first order reaction is 0.6932 xx 10^(-2) mol l^(-1) "min"^(-1) and the initial concentration of the reactants is 1 M , T_(1//2) is equal to |
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Answer» 6.932 MIN `t_(1//2) = (0.693)/(k) = (0.693)/(0.693 xx 10^(-2)) = 100 ` min |
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| 24763. |
The rate for a first order reaction is 0.6932 xx 10^(-2) mol " "L^(-1) and the initial concentration of the reactant is 1M, t_(1//2) is equal to |
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Answer» `6.932` minute |
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| 24764. |
The rate for a first order reaction is 0.6932 xx 10^(-2)mol L^(-1) min^-1 and the initial concentration of the reactant is 1 M, t_(1//2) is equal to: |
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Answer» `0.6932 X 10^(-2)MINUTE` |
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| 24765. |
The rate for the first order reaction is 0.0069 mol L^(-1) min^(-1) and theinitial concentration is 0.2 mol L^(-1) . The half life period is |
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Answer» 638 s `0.0069 mol L^(-1) min^(-1) = (0.2 "mol L"^(-1))` k `k = (0.0069 )/(0.2)= (3.45xx10^(-2))/(60)` `= 5.75 xx10^(-4) s^(-1)` `t_(1//2)=(0.693)/(5.75xx10^(-4)) = 1205 ` s |
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| 24766. |
The rate expression for the reaction A_((g)) + B_((g)) rarr C_((g))" is rate" = k[A]^(2)[B]^(1//2). What changes in the initial concentrations of A and B will cause the rate of reaction to increase by a factor of eight? |
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Answer» [A`]=[A] : [B`] = 2[B] new RATE will be 8 times when [A]. = 2[A] and [B]. = 4[B] now `r. = [2A]^(2)[48]^(1//2)` = 8[A][B] |
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| 24767. |
The rate expression gives the relation between rate of reaction and |
| Answer» Answer :A | |
| 24768. |
The rate expression for the reaction A_((g))+B_((g))toC_((g)) is rate =kC_(A)^(2)C_(B)^(1//2) what changes in the initial concentrations of A and B will cause the rate of reaction to increase by a factor of eight? |
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Answer» `C_(A)xx2,C_(B)xx2` |
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| 24769. |
The rate expression for a reaction is rate =k[A]^(3//2)[B]^(-1), the order of reaction is |
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Answer» `0` |
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| 24770. |
The rateexpression fora reactionis Rate =K[A][B]^(2) unitfor rateconstant K is |
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Answer» `mol dm^(-3) SEC^(-1)` |
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| 24771. |
For the reaction A + B rarr P, the rate is given by Rate = K [A]^(1) [B]^(2). By how many times does the rate of reaction increase when concentrations of A & B are doubled? |
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Answer» SOLUTION :`K_(1)=[A]^(1)[B]^(2)""rarr(1)` `K_(2)=[2A]^(1)[2D]^(2)` `K_(2)=[2A]4[D]^(2)` `K_(2)=8[A]^(1)[D]^(2)` `(K_(2))/(K_(1))=(8cancel([A]^(1)[D]^(2)))/(CANCEL([A]^(1)[D]^(2)))` `K_(2)=8K_(1)` The rate of reaction increase 8 times when concentration of A and B are doubled. |
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| 24772. |
The rate equation for the reaction 2A+BtoC is found to be : rate =K[A][B]. The correct statement in relation to this reaction is |
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Answer» unit of k must be `"sec"^(-1)` |
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| 24773. |
The rate equation for the decomposition of N_(2)O_(5) in "CC"l_(4) is rate =K[N_(2)O_(4)] where K=6.3x10^(-4)s^(-1) at 320 K. what would be the initial rate of decompositioni of N_(2)O_(5) in a 1.10M solution of N_(2)O_(4)? |
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Answer» `6.3xx10^(-5)` MOL `"LITRE"^(-1)s^(-1)` `1N_(2)O_(5)to2NO_(2)+1/2O_(2)` |
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| 24774. |
The rate equation for a reactionA to Bis r = k[A]^(0) . If the initial concentration of the reaction is a mol dm^(-3) , the half-life period of the reaction is |
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Answer» `(k)/(a)` For a zero order reaction , `t_(1//2) PROP a` or `t_(1//2) = (a)/(2k)`. |
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| 24775. |
The rate equation for a reaction 3A +2B to C is given by (dx)/(dt) =k[A]^2[B]^1 which of the following statements is false |
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Answer» the reaction is overall a second order reaction |
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| 24776. |
The rate equation for a reaction AtoB is r=k[A]^(0). If the initial concentration of the reactant is a mol dm^(-3), the half life period of the reaction is |
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Answer» k/a |
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| 24777. |
The rate determining step of a reaction is the step |
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Answer» which involves the minimum number of molecules |
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| 24778. |
The rate equation for a certain reaction is: r=k[Cl_(2)][NO]^(2). What is the overall order of the reaction? |
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Answer» Order of REACTION= 1+2=3 |
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| 24779. |
The rate determining step for the preparation of nitrobenzene from benzene is |
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Answer» Removal `OVERSET(+)NO_(2)` |
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| 24780. |
Therate cosntantof firstorderreactionis 6.8 xx 10^(-4)s^(-1) Ifthe initialconcentrationof the reactantis0.04 M, Whatis itsmolarityafter 20minutes? Howlongwillit takefor 25%of thereactanttoreact ? |
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Answer» `[A]_(0)=0.04 M` (i)Aftert= 20min= 20x 60 s= 1200s`[A]_(t)= ?` `k= (2.303)/(t) log_(10).([A]_(0))/([A]_(t))` `:. log_(10).[[A]_(0)]/[[A]_(t)] = (kxxt)/(2.303) - (6.8 XX 10^(-4) xx 1200)/(2.303 ) = 0.3543` `:. [[A]_(0)]/[[A]_(t)]=AL 0.3543 =2.26` `:. [A]_(t) =[[A]_(0))/(2.26) =(0.04)/(2.26) =0.0177 M` (ii)For 25%reactantto reactt= ? REACTANT reacted=25%of0.04 M `=(25)/(100) xx 0.04` `=0.01 M` `:.` Reactantleft `=[A]_(t)= 0.04- 0.01 =0.03 M` `t= (2.303)/(k) log_(10) .([[A]_(0)])/([[A]_(t)])` `=(2.303)/(6.8 xx 10^(-4)) log_(10) .(0.04)/(0.03)` `=(2.303)/(6.8xx 10^(-4))` `=423 s` `=(423)/(60) MIN = 7.05 min` |
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| 24781. |
The rate constants of a reaction at 500K and 700K are 0.02s^(-1) and 0.07s^(-1), respectively. Calculatevalue of activation energy for the reaction.[ Given R=8.314JK^(-1)MI^(-1)]. |
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Answer» SOLUTION :Use the Arrhenius EQUATION `"LOG"(k_(2))/(k_(1))=(E_(a))/(2.303R)[(T_(2)-T_(1))/(T_(1)T_(2))]` Given : `T_(1)=500K, T_(2)=700K, k_(1)=0.02s^(-1) and k_(2)=0.07s^(-1)` Substituting the values in the equation above, we have `"log"(0.07)/(0.02)=(E_(a))/(2.307xx8.314)[(700-500)/(500xx700)] or 0.5441 = (E_(a))/(19.1804) xx(200)/(350000)` or `E_(a)=(0.5441xx19.1804xx3500)/(2)o=18263J=18.263kJ`. |
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| 24782. |
The rate constants of a reaction at 500 k and 700 k are 0.02"sec"^(-1) and 0.07 "sec"^(-1) respectively. Calculate the value of E_(a) |
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Answer» 18230.8J `2.303log(7/2)=(E_(a))/R(1/(T_(1))-1/(T_(2))),2.303xx0.544=(E_(a))/R(1/500-1/700)` `E_(a)=((2.303xx0.544xx8.314xx500xx700)/200)=18228` Joule |
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| 24783. |
The rate constants of a reaction at 500 K and 700 K are 0.02s^(-1)" and "0.07s^(-1) respectively. Calculate the values of E_(a) and A. |
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Answer» SOLUTION :`log""(k_(2))/(k_(1))=(E_(a))/(2.303"R")((T_(2)-T_(1))/(T_(1)T_(2)))` `log""(0.07)/(0.02)=(E_(a))/(2.303xx8.314" JK"^(-1)MOL^(-1))xx(700"K"-500"K")/(700"K"xx500"K")`, `log3.5=(E_(a))/(2.303xx8.314" JK"^(-1)mol^(-1))xx(200"K")/(700"K"xx500"K")` or `""E_(a)=(0.5441xx2.303xx8.314xx700xx500)/(200)"J mol"^(-1)=18231.4" J mok"^(-1)=18.23" kJ mol"^(-1)` Further, `logk=-(E_(a))/(2.303"R")+LOGA" or"logA=logk+(E_(a))/(2.303"RT")` Substituting `T=500 K, k=0.02s^(-1)`, we get `logA=log0.02+(18231.4" J mol"^(-1))/(2.303xx8.314"JK"^(-1)mol^(-1)xx500"K")=-log50+12.4095=-1.699+1.904=0.205` `A=" Antilog "(0.205)=1.603` |
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| 24784. |
The rate constants of a reaction at 300K and 280 K respectively are K_(1) and K_(2). Then |
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Answer» `K_(1)=20K_(2)` |
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| 24785. |
The rate constants k_1 and k_2 for two different reactions are 10^(16).e^(-2000//T)" and "10^(15).e^(-1000//T), respectively. The temperature at which kı = ky is |
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Answer» 2000 K The temperature at which `K_1=k_2` will be `10^(6)e^(-2000//T)=10^(15)e^(-1000//T)` `implies (e^(-2000//T))/(e^(-1000//T))=(10^(15))/(10^(16))` `implies e^((-1000)/(T)) = 10^(-1) implies log_e e^((-1000)/(T)) = log_e10^(-1)` `implies 2.303 log_(10) e^((-1000)/(T)) = 2.303xxlog_(10)10^(-1)` `implies (-1000)/(T)xxlog_(10) e=-1 therefore T=(1000)/(2.303)K` |
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| 24786. |
The rate constants k_(1)" and "k_(2) for two different reactions are 10^(16). e^(-2000//T) and 10^(15).e^(-1000//T) respectively. The temperature at which k_(1)=k_(2) is |
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Answer» `1000 K` When `k_1=k_2,10^16e^(-2000//T)=10^15e^(-1000//T)` or`10E^(-2000//T)=e^(=-1000//T)` Taking natural logarithm of both SIDES, we get In `10-2000/T=(-1000)/T" or "2*303-2000/T=(-1000)/T` or `1000/T=2*303` or `T=1000/(2*303)K` |
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| 24787. |
The rate constant value for a reaction is 1.75xx10^(2)L^(2)mol^(-2)sec^(-1).The half life period t_((1)/(2))alpha…… |
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Answer» `[R_(o)]^(-2)` Accroding to the unit of K,it indicates `3^(RD)` ORDER reaction,so half life time. `t_((t)/(2))prop[R_(o)]^(1-n)therefore [R_(o)]^(-2)` |
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| 24788. |
The rate constants k_(1) and k_(2) for two different reactions are 10^(16) * e^(-2000//T) and 10^(15) * e^(-1000//T) , respectively . The temperature at which k_(1) = k_(2) is |
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Answer» 2000 K `10 = e^((-1000)/(T))/(e^(-2000)/(T)) implies 10 e^((1)/(T) xx 1000) implies "ln" 10 = (1000)/(T)` `implies 2.303` log 10 = `(1000)/(T) implies T = (1000)/(2.303) K` . |
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| 24789. |
The rate constant, the activation energy and the frequency factor of a chemical reaction at 25^(@)C are 3.0xx10^(-4)s^(-1),104.4"KJ mol"^(-1) and 6.0xx10^(14)s^(-1) respectively. The value of the rate constant as Trarroo is : |
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Answer» `2.0xx10^(18)s^(-1)` |
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| 24790. |
The rate constant , the activation energy and the arrhenius parameter of a chemical reaction at 25^(@)C and 3.0 xx 10^(4) s^(-1) , 104. 4 kJ mol^(-1) and 6.0 xx 10^(14) s^(-1) respectively . The value of the rate constant as T to oo is |
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Answer» `2.0 xx 10^(18) s^(-1)` `E_(a) = 104.4 kJ mol^(-1) = 104.4 xx 10^(3) J mol^(-1)` `k_(1) = 3 xx 10^(-4), k_(2) = ? implies log (k_(2))/(k_(1)) = (E_(a))/(2.303R) [(1)/(T_(1)) - (1)/(T_(2))]` log `(k_(2))/(3 xx 10^(-4)) = (104.4 xx 10^(3) J mol^(-1))/(2.303 xx (8.314 J k^(-1) mol^(-1)))` `[(1)/(298K) -(1)/(T)]` As `T implies OO (1)/(T) to 0` `therefore` log `(k_(2))/(3 xx 10^(-4)) = (104.4 xx 10^(3) J mol^(-1))/(2.303 xx 8.314 xx 298)` log `(k_(2))/(3 xx 10^-4) = 18.297 , (k_(2))/(3 xx 10^(-4)) = 1.98 xx 10^(18)` or `k_(2) = (1.98 xx 10^(18)) xx (3 xx 10^(-4)) = 6 xx 10^(14) s^(-1)`. |
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| 24791. |
The rate constant, the activation energy and the arrhenius paremeter of a chemical reaction at 25^(@) are 3.0times10^(-4)s^(-), 104.4kJ*mol^(-1) and 6.0times10^(14)s^(-1) respectively. The value of the rate constant as T to infty is |
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Answer» `2.0times10^(18)s^(-1)` `k_(1)=3times10^(-4), k_(2)=?` `"log"(k_(2))/(k_(1))=(E_(a))/(2.303R)[(1)/(T_(1))-(1)/(T_(2))]` `"log"(K_(2))/(3times10^(-4))=(104.4times10^(3)J*mol^(-1))/(2.303times(8.314J*K^(-1)*mol^(-1))[(1)/(298)-(1)/(T)]` As `T to INFTY, (1)/(T)to 0` `therefore "log"(K_(2))/(3times10^(-4))=(104.4times10^(3)J*mol^(-1))/(2.303times8.314times298)` `"log"(k_(2))/(3times10^(-4))=18.297, (k_(2))/(3times10^(-4)=1.98times10^(18)` `k_(2)=6times10^(14)s^(-1)` |
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| 24792. |
The rate constant, the activation energy and the Arrhenius parameter of a chemical reaction at 25°C are 3.5 x 10^(-5)s^(-1), 110.5 kJ mol^(-1) and 6.0 x 10^(14) s^(-1) respectively The value of rate constant at T to is |
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Answer» `1.5 X 10^5 s^(-1)` |
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| 24793. |
The rate constant, the activation energy and the Arrhenius parameter of a chemical reaction at 25^(@)C are 3.0xx10^(-4)s^(-1), 104.4kJmol^(-1) and 6.0xx10^(14)s^(-1) respectively, thevalue of the rate constant as T to oo is |
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Answer» `2.0xx10^(18)s^(-1)` When `T to oo` `k to A` `A=6xx10^(14)s^(-1)` |
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| 24794. |
The rate constant, the activation energy and the Arrhenius parameter of a chemical reaction at 25^(@)C are 3.0xx10^(-4)s^(-1), 104.4" kJ mol"^(-1)," and "6.0xx10^(14)s^(-1) respectively. The value of the rate constant as T to oo is |
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Answer» `2.0xx10^(18)s^(-1)` |
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| 24795. |
The rate constant, the activation energy and frequency factor of a chemical reaction at 25^(#)C are 3.0xx10^(-4)s^(-1), 104.4"kJ mol"^(-1) and 6.0xx10^(14)s^(-1) respectively. What is the value of the rate constant when T rarr oo ? |
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Answer» Solution :Formula : `k_(1)=Ae^(-E_(a//RT))` Given : Rate CONSTANT, `k_(1)-3.0xx10^(-4)s^(-1)` FREQUENCY factor, `A = 6.0xx10^(14)s^(-1)` Activation energy, `E_(a)=104.4 kJ` `= 104400 J` Temperatures, `T_(1)=25^(@)C , T_(2) = oo` `k_(2)=A` `k_(2)=A.e^(-(E_(a))/(RT))` `k_(2)=6.0xx10^(14)xx e^(-1(104400)/(8.314xx oo)` `k_(2)=6.0xx10^(14)xx1 (therefore e (-E_(a))/(R oo)=1)` `therefore` The rate constant at `T rarr oo` is `6.0xx10^(14)s^(-1)`. |
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| 24796. |
The rate constant, the activation and Arrhenius parameter of a chemical reaction at 25^(@)C are 3xx10^(-4)s^(-1), 104.4 kJ mol^(-1) and 6xx10^(14)s^(-1) respectively. The value of the rate constant at T to oo is |
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Answer» `2xx10^(18)s^(-1)` |
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| 24797. |
The rate constant, the activation energy and the Arrhenius parameter of a chemical reaction at 25^@C are 3.0xx10^-4S^-1, 104.4 kj mol^-1 and 6.0xx10^14 s^-1 respectively. The value of the rate constant as Tto oo is: |
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Answer» `2.0xx10^18 s^-1` |
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| 24798. |
The rate constant of zero order reaction is 2xx10^(-2) mole L /sec. If the concentration of the reactant after 25 sec is 0.5 M, the initial concentration is |
| Answer» SOLUTION :`C_(0)-C_(t)=Kxxt,C_(0)-0.5=2xx10^(-2)xx25,C_(0)=0.50+0.5,C_(0)=1M` | |
| 24799. |
The rate constant of the reaction Ato B is 0.6xx10^(-3) mole per second.If the concentration of A is 5 M ,then concentration of B after 20 minutes is : |
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Answer» 0.36 M x=k.t=`06xx10^(-3)xx20xx60=0.72m` |
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| 24800. |
The rate constant of the reaction at temperature 200 K is 10 times less than the rate constant at 400 K.What is the activation energy of the reaction ? |
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Answer» `1842.4" R"` at `T_2 = 400 K, k_2=20 k ` `log""(10k)/k=E_a/(2*303R)(400-200)/(400xx200)" or "E_a=921*2R`. |
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