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87501.

A second order reaction in which both the reactants have same concentration , is 20% completed in 500 seconds. How much it will take for 60% completion ?

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Solution :The second order equation when both the REACTANTS have same CONCENTRATION is
`k=(1)/(t)[(1)/((a-x))-(1)/(a)]`
If `a=100`, `x=20`, `t=500sec`
`k=(1)/(500)xx(20)/(100xx(100-20))`
When `a=100`, `x=60`, `t=?`
`t=(1)/(k)[(1)/((100-60))-(1)/(100)]=(1)/(k)*(60)/(100xx40)`
Substituting the value of `k`
`t=(500xx100xx80)/(20)xx(60)/(100xx40)`
`=3000` seconds.
87502.

A second order reaction in which both the reactants have same concentration , is 20% completed in 500 seconds . How much time it will take for 60% completion ?

Answer»

SOLUTION :The second order EQUATION when both the REACTANTS have same CONCENTRATION is
`k = 1/t .x/(a(a-x))`
If a = 100, x20 , t = 500 seconds
Then ` k =1/500xx(20)/(100xx(100-20))`
When `a = 100,x = 60, t = ? `
`t = 1/ k . (60)/(100xx40)`
Substituting the value of k ,
`t = (500xx100xx80)/(20)xx60/(100xx40)"or "t = 3000 ` seconds
87503.

A sealed tube which can withstand a pressure of 3 atm sphere is filled with air at 27^(@)C and 760 mm pressure. The temperature above which the tube will burst will be:

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`900^(@)C`
`627^(@)C`
`727^(@)C`
`1173^(@)C`

ANSWER :B
87504.

A second order reaction can be altered to a first order reaction by taking one of the reactant inlarge excess, it is called... ......

Answer»

SOLUTION :PSEUDO FIRST ORDER REACTION
87505.

A second order reaction between A and B is elementary reaction: A+B to Product rate law expression of this reaction will be:

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Rate = K[A][B]
Rate = `K[A]^0[B]^2 `
Rate = `K[A]^2[B]^0 `
Rate = `K[A]^(3//2)[B]^(1//2)`

ANSWER :A
87506.

(A) Second ionization enthalpies of Cr and Cn are very low (R) Both Cr and Cu are stable in their +2 oxidation state

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Both (A) and (R) are TRUE and (R) is the CORRECT EXPLANATION of (A)
Both (A) and (R) are true and (R) is not the correct explanation of (A)
(A) is true but (R) is FALSE
Both (A) and (R) are false

Solution :Both (A) and (R) are false
87507.

(A) Seais the greatest source of some halogens (R ) Halogens are highly reactive

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Both (A) and (R ) are true and (R ) is the correct EXPLANATION of (A)
Both (A) and (R ) are true and (R ) is not the correct explanation of (A)
(A) is true but (R ) is FALSE
Both (A) and (R ) are false

Answer :B
87508.

Assertion : Sea water boils at higher temperature than distilled water Reason :Addition of non volatile solute to a solvent lowers the vapour pressure

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Both (A) and (R) are true and (R) is the CORRECT explanation of (A)
Both (A) and (R) are true and (R) is not the correct explanation of (A)
(A) is true but (R) is false
(A) is false but (R) is true

ANSWER :A
87509.

A schematic plot of In k_(eq) versus inverse of temperature for a reaction is shown below : The reaction must be :

Answer»

EXOTHERMIC
endothermic
one with negligible ENTHALPY change highly spontaneous at ordinary temperature .
high spontaneous at ordinary temperature .

Solution :(A) `In ""(k_(2))/(k_(1))= (DeltaH)/( R ) [(1)/(T_(1))-(1)/(T_(2))]`
In `(6)/(2) = (DeltaH)/(R ) [1.5xx10^(-3) - 2 xx10^(-3) ]`
`DELTA` H of the reaction comes out to be - ve Therefore the reaction is exothermic .
87510.

(A) Schottky and Frenkel defects are also called thermodynamic defects (R) Both Schottky and Frenkel defects increases with increase in temperature.

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Both (A) and (R) are TRUE and (R) is the CORRECT explanation of (A) 
Both (A) and (R) are true and (R) is not the correct explanation of (A)
(A) is true but (R) is FALSE 
(A) is false but (R ) is true 

Answer :A
87511.

(A) Schottky type defect is shown by crystals with high coordination number. (R) In crystals with Schottky defect cations always occupy interstitial positions

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Both (A) and (R) are true and (R) is the correct EXPLANATION of (A)
Both (A) and (R) are true and (R) is not the correct explanation of (A)
(A) is true but (R) is false
Both (A) and (R) are false

Answer :C
87512.

A scarlet compound A is treated with conc. HNO_(3) to give a chocolate brown precipitate B. The precipitate is filtered and the filtrate is neutralised with NaOH. Addition of KI to the resulting solution gives a yellow ppt C. The brown ppt B on warming with conc. HNO_(3) in the presence of Mn(NO_(3))_(2) produces a pink coloured solution due to the formation of D. Identify A, B, C and D. Write the reaction sequence.

Answer»
87513.

A scarlet compound (A) is treated with conc. HNO_(3) to give a chocolate brown precipitate (B) and a colourless solution of C. On adding Kl to this solution, a yellow ppt. (D) is obtained. The precipitate (B) on warming with conc. HNO_(3) in the prese

Answer»

`PbCrO_(4)`
`Pbl_(2)`
`MnO_(2)`
`HMnO_(4)`

ANSWER :D
87514.

A scarlet red precipitate is obtained on treating mercuric chloride solution with:

Answer»

`H_2S`
KI
NaOH
`NH_4OH`

ANSWER :B
87515.

A scarlet compound (A) is treated with conc. HNO_(3) to give a chocolate brown precipitate (B) and a colourless solution of C. On adding Kl to this solution, a yellow ppt. (D) is obtained. The precipitate (B) on warming with conc. HNO_(3) in the presence of Mn(NO_(3))_(2) produces a pink coloured solution due to the formation of (E). What is (E)?

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`PbCrO_(4)`
`Pbl_(2)`
`MnO_(2)`
`HMnO_(4)`

Answer :D
87516.

A scarlet compound (A) is treated with conc. HNO_3 to give a chocolate brown precipitate (B) and a colourless solution of C, On adding Kl to this solution, a yellow ppt. (D) is obtained. The precipitate (B) on warming with conc. HNO_3 in the presence of Mn(NO_(3))_2 prdouces a pink coloured solution due to the formation of (E). What is (E)?

Answer»

 `PbCrO_4`
 `Pbl_2`
 `MnO_2`
`HMnO_4`

ANSWER :D
87517.

A scaletcompound A is treated with concenbtrated HNO_(3)to gave achocolate brownprecipitate B. The precipitate is filtered and the filtrateisneurralised with NaOH Addition of KI to theresultingsolutiongives a yellowprecipitate C the brownprecipitate B on warmingwith concentrated HNO_(3) in the presence of Mn(NO_(3))_(2) produces a pinkcolouredsolutiondue to theformation of D identify A, B,C, and D write the reaction sequence.

Answer»

Solution :A : `Pb_(3)O_(4) B : PbO_(2) C : PbI_(2)O_(4) B : PB(MnO_(4))_(2)`
Thepink colouredcompound is PRECIPITATE saltwhich is FORMED by the oxidationof maganese saltlead dioxide .Theyellow precipitate to be red lead .
`underset((A))(Pb_(3)O_(4)+)4HNO_(3)rarrunderset((B))(PbO_(2)darr)+underset("Filtrate")(2Pb(NO_(3))_(2))+2H_(2)O`
`Pb (NO_(3))_(2) +2KI rarr underset("Yellow"(C))(PbI_(2)darr)+2KNO_(3)`
`5PbO_(2) +2MN(NO_(3))_(2) +4HNO_(3) rarr`
`Pb(MnO_(4))_(2)+underset((D))(4Pb(NO_(3))_(2))+2H_(2)O`
87518.

(A) Scandium is the lightest transition metal, (R) Atomic radius of scandium is largest among all the transition elements.

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Both (A) and (R) are TRUE and (R) is the CORRECT EXPLANATION of (A)
Both (A) and (R) are true and (R) is not the correct explanation of (A)
(A) is true but (R) is FALSE
Both (A) and (R) are false

Solution : (A) is true but (R) is false
87519.

(A) Sc exhibit variable oxidation states. (R) Sc is not a transitional element.

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Both (A) and (R) are TRUE and (R) is the CORRECT EXPLANATION of (A)
Both (A) and (R) are true and (R) is not the correct explanation of (A)
(A) is true but (R) is FALSE
Both (A) and (R) are false

Solution :Both (A) and (R) are false
87520.

(A): Sc^(+3) ion in aqueous solutions is colorless (R) : Ions with do configuration are colorless

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Both (A) and (R) are TRUE and (R) is thecorrect EXPLANATION of (A)
Both (A) and (R) are true and (R) is not the correct explanation of (A)
(A) is true but (R) is false
(A) is false but (R) is true

Solution :Both (A) and (R) are true and (R) is thecorrect explanation of (A)
87521.

A saturated solution, prepared by dissolving CaF_2(s) in water, has [Ca^(2+)]=3.3 times 10^-4 M. What is the K_(sp) of CaF_2?

Answer»

Solution :`CaF)_2(s)=Ca^(2+) (aq)+2F^(-) (aq)`
`[F^-]=2[Ca^(2+)]=2 times3.3 times10^-4M`
`=6.6 times10^-4M`
`K_(sp)=[Ca^(2+)][F^-]^2`
`=(3.3 times10^-4)(6.6 times10^-4)^2`
`=1.44 TIMES 10^-10`
87522.

A saturated solution of Mg(OH)_2 in water at 25^oC contains 0.11 g Mg(OH)_2 per litre of solution. Thesolubility product of Mg(OH)_2 is :

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`(0.11)^2`
`(0.11)^3`
`4XX(0.11)^3`
`4xx(0.11)^3/(58)^3`

ANSWER :D
87523.

A saturated solution of calcium fluoride contains 2xx10^(-4) mole of the salt per litre of the solution its K_sp is :

Answer»

`8xx10^(-18)`
`3.2xx10^(-11)`
`4XX10^(-6)`
`1.43xx10^(-9)`

ANSWER :B
87524.

A saturated solution of Ag_2SO_4 is 2.5 xx 10^-2 M. The value of its solubility product is:

Answer»

`62.5xx10^(-6)`
`6.25xx10^(-4)`
`15.625xx10^(-6)`
`3.125xx10^(-6)`

ANSWER :A
87525.

A saturated solution of Ag_(2)SO_(4) is 2.5 xx 10^(-2) M, The value of its solubility product is

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`62.5 xx 10^(-6)`
`6.25 xx 10^(-4)`
`15.625 xx 10^(-6)`
`3.125 xx 10^(-6)`

Solution :`{:("For",AgSO_(4)rarr,2Ag^(+)+,SO_(4)^(-)),(,,2X,x):}`
`K_(sp) = (2x)^(2).x , K_(sp) = 4X^(3) , K_(sp) = 4 xx (2.5 xx 10^(-2))^(3)`
`K_(sp) = 62.5 xx 10^(-6)`.
87526.

A saturated hydrocarbon 'X' having molecular formula (C_6H_12) will form only one monochloro product on reaction with Cl_2 in presence of ultravoilet light.Calculate the number of dichloroproducts (structural only ) of the same compound 'X'.

Answer»


SOLUTION :
87527.

A saturated hydrocarbon C_(6)H_(14) gives two monochloro compounds on chlorination. Indentify the hydrocarbon

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SOLUTION :Since the HYDROCARBON gives TWO monochloro derivatives, it indicates that it contains two EQUIVALENT HYDROGENS. The hydrocarbon is 2, 3-dimethylbutane
87528.

Protein found in hair and nail is:

Answer»

palmiticacid
LINOLENIC acid
Oleic acid
Linoleic acid

Answer :A
87529.

A saturated fatty acid found in oil and fats is:

Answer»

palmiticacid
LINOLENIC acid
Oleic acid
Linoleic acid

Answer :A
87530.

A saturated compound C_(2)H_(4)Cl_(2) permits the existence of,

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OPTICAL ISOMERISM
Cis-trans isomerism
position isomerism
FUNCTIONAL isomerism

Answer :C
87531.

A saturated calomel electrode is coupled through a salt bridge with a quinhydrone electrode dipping in 0.1 M NH_(4)Cl. The observed EMF at 25^(@)C is 0.152V. Find the dissociated constant of NH_(4)OH. The oxidation potential of saturated calomel electrode=-0.699V at 25^(@)C.

Answer»

Solution :For the cell`:` Saturated CALOMEL `||0.1 MNH_(4)Cl|H_(2)Q,Q|Pt`
`E_(cell)=E_(qui nhydron e el etrode)-E_(saturated calomel)`
`E_(cell)=0.152,,,,[{:(E_(saturated calomel(o x i d)),=,-0.242V),(E_(saturated calomel (red)),=,-0.242V):}]`
`(E_(qui nhydron e)=0.6994-0.059pH)`
`( :. E^(C-)._(o x i de)=-0.6994,so E^(c-)._(Red)=0.6994)`
`0.152=0.6994-0.059pH-0.242`
`:. PH=(0.457-0.152)/(0.059)=5.17`
For `0.1 M NH_(4)Cl,` salt of `S_(A)//W_(B)` which on hydrolysis GIVES `NH_(4)OH`
`pH=(1)/(2)(pK_(W)=pK_(b)-logc)`
`5.17=(1)/(2)(14-pK_(b)-log0.1)
Solving , we get `K_(b)=2.18xx10^(-5)`
87532.

A sample_(92)^(238)U when kept at 298 K in a closed cassel shows alpha-decay and beta-decay to given _(82)^(206)Pb. After t hour the volume of the gas collected in the vessel at 1 atm, 273K is found to be 89.6 ml. Then which of the the following is/are correct for the nucler process and the products of the process ?

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Mass of Pb OBTAINED in time t hour =`103`mg.
If the temperatures is increased by `10^(@)C` then the time taken for the same amount of gas to be produced will be `(t)/(2)` hour.
`alpha` PARTICALES show more IONISATION power rhan `BETA` particles.
`lmbda` RADIATIONS undergoes no deviation while traveling through electric or magnetic field.

Answer :A::C::D
87533.

A sample was weighted using two different balances. The result's were (i) 3.929 g (ii) 4.0 g. how would the weight of the sample be reported. If it has to be reported in 3 significant no

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3.929 g
3 g
3.9 g
3.93 g

Solution :Round off the DIGIT at `2^(nd)` POSITION of decimal `3.929=3.93`.
87534.

A sample of water has a hardness expressed as 80 ppm of Ca^(2+).This sample is passed through an ion exchange column and the Ca^(2+) is replaced by H^+ What is the pH of the water after it has been so treated ? [Atomic mass of Ca=40]

Answer»

3
2.7
5.4
2.4

Answer :d
87535.

A sample of water has a hardness expressed as 80 ppm of Ca^(2+) This sample is passed through an ion exchange column and the Ca^(2+) is replaced by H^(+).What is the pH of the water after it has been so treated ? [Atomic mass of Ca=40]

Answer»

3
2.7
5.4
2.4

Solution :`10^6` ml water CONTAINS 80 GM of `CA^(2+)=80/40` moles =2 moles of `Ca^(2+)=2xx2` moles of `H^+` ions
so `10^3` ml of `H_2O` will have =`4xx10^(-3)` moles of `H^+` ions
so pH=3-log 4=3-0.6=2.4
87536.

A sample of water contains 12% w//w MgSO_(4) and 9.5% w//w MgCl_(2). If the sulphate dissociates to 8 extent and chloride to 60%extent then calculate the boliling point of the solution. Given : K_(b)[H_(2)O]=0.785 K-kg//"mole"^(-1) [Express your answer in Kelvin scale]

Answer»


ANSWER :377
87537.

A sample of water contains 0.012 g of MgSO_(4) per litre. The hardness of the water sample in ppm is

Answer»

20 PPM
10 ppm
25 ppm
15 ppm

Solution :Equivalent mass of `MgSO_(4)=60`
`rArr"60 g of "MgSO_(4)-="50 g of "CaCO_(3)`
`therefore"0.012 g of "MhSO_(4)-=(50xx0.012)/(60)="0.01 g of "CaCP_(3)`
`rArr"1 LITRE of water contains 0.01 parts by weight of "CaCO_(3)`
`"i.e. 1000 parts of water contains 0.01 parts by weight of "CaCO_(3)`
`rArr ""10^(6)` parts by weight of water contains 10 parts by weight of `CaCO_(3)`.
`therefore` The hardness of the water sample is 10 ppm.
87538.

A sample of water containing KCL does not behave as hard water, but a sample of water containing CaCl_(2) behaves as hard water-why?

Answer»

Solution :The POTASSIUM salt of SOAP is soluble in water and forms lather while calcium or MAGNESIUM salt of soap is insoluble in water and does not FORM lather.
87539.

A sample of uranium mineral was found to contain .^(206)Pb and ^(238)U in the ratio of 0.008 : 1 . Estimate the age of the mineral (half-life of .^(238)U is 4.51xx10^(9) years).

Answer»

Solution :`t=(2.303)/(LAMBDA)log[1+(.^(206)Pb)/(.^(238)U)]`
`t=(2.303)/(0.693)xxt_(1//2)xxlog[1+(.^(206)Pb)/(.^(238)U)]`
`implies` Ratio by mass `.^(206)Pb : .^(238)U=0.008 : 1`
Ratio by moles `.^(206)Pb : .^(238)U=(0.008)/(206) : (1)/(238)`
`=0.0092`
`:. t=(2.303xx4.51xx10^(9))/(0.693)log(1+0.0092)` `=(2.303xx4.51xx10^(9))/(0.693)xx0.00397`
`=(0.0412)/(0.693)xx10^(9)=5.945xx10^(7)` years
87540.

A sample of uranite a uranium confainig mineral was found on analysis to contain 0.214gm of .^(206Pb for evert gm of .^(238)U. If all the lead came from the radioactive disintegration of uranium and assume that all isotopes of uranium other than .^(238)U can be neglected, estimate the date when the mineral was formed in the earth crust. (The half-life of .^(238)U is 4.5xx10^(9) years).

Answer»

SOLUTION :`1.5xx10^(9)` YEARS
87541.

A sample of Uraninite, a Uranium containing mineral was found on analysis to contain 0.214 gm of Pb^(206) for every gram of Uranium. Assuming that the lead all resulted from the radioactive disintegration of the Uranium since the geological formation of the Uraninite and all isotopes of Uranium other than""^( 238)U can be neglected. Estimate the day when the mineral was formed in the Earth's crust.[t_(1//2) " of" ^(238)U = 4.5 xx 10^(9)" years " ]

Answer»


ANSWER :`1.4 XX 10^(9)` YRS
87542.

A sample of U - 238 (half-life = 4.5 xx 10^(9)yr) ore is found to contain 23.8 g of U-238 and 20.6 g of Pb - 206. What will be the age of theore?

Answer»

`5.5 XX 10^(12)` years
`6.0 xx 10^(8)` years
`4.5 xx 10^(9)` years
`5.5 xx 10^(14)` years

Solution :Disintegration occurs as :
`""_(92)U^(238) to ""_(82)Pb^(206) + 8 ""_(2)He^(4) + e ""_(-1)e^(0)`
ATOMS of Pb present = `(20.6)/(206) = 0.1 g ` atom = U DECAYED
Atoms of U present = `(23.8)/(238) = 0.1 g` atom
`:. N = 0.1 g` atom
`N_0` = U present + U decayed = `0.1 + 0.1 = 0.2 g` atom
`t = (2.303 xx 4.5 xx 10^(9))/(0.693) "LOG"_(10)(0.2)/(0.1)`
`:. t = 4.5 xx 10^(9) ` years.
87543.

A sample of rock from moon contains equal number of atoms of uranium and lead (t_(1//2)" for "U=4.5xx10^(9) years). The age of the rock would be :

Answer»

`4.5xx10^(9)` YEARS
`9.0xx10^(9)` years
`13.5xx10^(9)` years
`2.25xx10^(9)` years

Answer :A
87544.

A sample of rock from moon contains equal number of atoms of uranium and lead (t_(1//1) " for " U = 4.5 xx 10^(9) " years"). The age of the rock would be

Answer»

`9.0 xx 10^(9)` years
`4.5 xx 10^(9)` years
`13.5 xx 10^(9)` years
`2.25 xx 10^(9)`years

Solution :`N = (N_(0))/(2^(n)), " use " t = (2.303 xx t_(1//2))/(0.693) " LOG" (N_(0))/(N)`
87545.

A sample of radon emitted initially 7 xx 10^(4) alpha-particles per second. After some time, the emission rate became 2.1 xx 10^(4). If t_((1)/(2)) for radon is 3.8 days, find the age of the sample

Answer»


ANSWER :6.6 DAYS
87546.

A sample of rock from moon contains equal number of atoms of uranium and lead (t_((1)/(2)) for U= 4.5 xx 10^(9) years). The age of the rock would be

Answer»

`4.5 XX 10^(9)` YEARS
`9 xx 10^(9)` years
`13.5 xx 10^(9)` years
`2.25 xx 10^(9)` years

Answer :A
87547.

A sample of radioactive substance shows an intensity of 2.3 millicurie at a time t and an intensity of 1.62 millicurie after 600 s. The half-life period of the radioactive metal is

Answer»

Solution :Here `(N^(0))/(N)= (2.30)/(1.62)`
We have, `lamda= (2.303)/(600) "LOG" (2.30)/(1.62)= 0.000584`
Now, `t_((1)/(2))= (0.6932)/(lamda)= (0.6932)/(0.000584)=1187` SECONDS
87548.

A sample of radioactive ""^(133)I gave with a Geiger counter 3150 counts per minute at a certain time and 3055 counts per minute exactly one hour later. Calculate the half-life period of ""^(133)I

Answer»

SOLUTION :`N^(0)= 3150, N= 3055, t=1` hours
We have, `lamda= (0.6932)/(t_(1//2))`
Substituting these VALUES in `lamda= (2.303)/(t) "log" (N^(0))/(N)`
`(0.6932)/(t_((1)/(2)))= (2.303)/(1) "log" (3150)/(3055)`
`t_((1)/(2))= 22.63` hours.
87549.

A sample of pyrolusite weighing 0.5 g is distilled with conc. HCI. The evolved CI_2 when passed through a solution of KI liberates sufficient I_2 to react with 125 ml of N//12.5 hypo solution (Na_2 S_2 O_3. 5 H_2 O). The percentage of MnO_2 in the sample of pyrolusite is:

Answer»

0.87
`43.5%`
`72.8%`
`22.1%`

ANSWER :A
87550.

A sample of pure Cu (4.00 g) heated in a stream of oxygen for some time, gains in weight with the formation of black oxide of copper (CuO) . The final mass is 4.90 g. What percent of copper remains unoxidized (Cu=64)

Answer»

`90%`
`10 %`
`20 %`
`80 %`

ANSWER :B