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87851.

(A) Rate of reaction can also increase with the formation of product, if one of the products acts as a catalyst. (R ) A catalyst lowers the activation energy of the reaction

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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
87852.

Assertion :Rate of evaporation increases with an increase in the surface area of the vessel Reason :Evaporation is a surface phenomenon

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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
87853.

A: Rate constant of a reaction at a particular temperature is constant R: The value of rate constant K is indepdnent of initial concentration.

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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
87854.

(A) Rate of constant of a reaction increases with increase in temperature (R ) Increase in temperature increases in the number of activated molecules

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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 :A
87855.

Rate constant of reaction at 300 K and 400 K are 0.0345 S^(-1) and 0.1365 S^(-1) respectively. Calculate the activation energy for the reaction. [Given : R = 8.314 J K^(-1) mol^(-1)]

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Solution :(A) `logK_(2)/K_(1) = E_(a)/2.303R[T_(2)-T_(1)/T_(1)T_(2)]`
`log0.136/0.034 = E_(a)/2.303 xx 8.314[400-300/300xx400]`
`E_(a)= 13.8 kJ//mol`
(b) Consider a zero order reaction
`R rarr P`
Zero order reaction is one in which rate is proportional to zeroth power of reactant concentration.
According to rate law for zero order reaction,
`Rate = k[R]^(0)`Rate = `k xx 1` where k is rate CONSTANT or velocity constant.
But rate is defined by,
Rate `= -d[R]/dt:.-d[R]/dt = k`
Rearranging the equation, we get`d[R] = -kdt`
On integration
` int d[R] = -kint dt[R] = -kt + I`
where I is called integration constant
To get, I, when t = 0,`[R] = [R]_(0)` the initial concentration of the reactant
`[R]_(0) = -k xx 0 + II = [R]_(0)`
Substitute I VALUE in equation(1), we get
`[R] = -kt + [R]_(0)[R]_(0)-[R] = kt`
`k = [R]_(0) - [R]/t`
On rearranging, `[R] = -kt + [R]_(0)`
This equation is in y = mx + c FORM and suggests that
A plot of [R] versus .t. gives a STRAIGHT LINE with a slope = -k and y-intercept =` [R]_(0)`
87856.

(a) Rate constant of a first order reaction is 0.0693 mi n^(-1). Calculate the percentage of the reactant remaining at the end of 60 minutes.

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Solution :`K=(2.303)/(t)"LOG"(R_(0))/(R)`
`0.0693=(2.303)/(16)"log"(100)/(R)`
`R=1.56%`
87857.

(a) Rate constant of a chemical reaction rises to double by increase in temperature of 10^(@)C. Explain with labelled distribution curve. (b) The rate constant of a first order reaction increases by four times when the temperature changes from 350 K to 400 K. Calculate the energy of activation of the reaction assuming that it does not change with temperature (R=8.314" JK"^(-1)"mol"^(-1),log4=0.6021)

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SOLUTION :`32.27" KJ MOL"^(-1)`
87858.

A rarr B + C Time ""t " "prop Total pressure of (B + C) " "P_(2) " "P_(3) Find k.

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<P>

SOLUTION :`K=(1)/(t)" In "(P_(3))/((P_(3)-P_(2)))`
87859.

A rarr (CH_(3))_(2)C= CHCOCH_(3), A is

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Acetone
Acetaldehyde
Propionaldehyde
Formaldehyde

Solution :Two MOLECULES of acetone CONDENSE in presence of dry `HCI` GOES to FORM mesityl oxide.
87860.

Ararr B + C Time 0 t Volume of reagent V_(1)" " V_(2) The reagent reacts with A, B and C. Find k.

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Solution :`K=(1)/(t)" In "(V_(1))/((2V_(1)-V_(2)))`
87861.

Arrange the following solutions in increasing order of their osmotic pressures . (i)34.2 g/litre surcrose (ii)60 g/litre of urea (iii)90 g/litre of glucose (iv)58.5 g/litre of sodium chloride

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Solution :`"Osmotic pressure of a solution Is calculated with the help of Van't Hoff equation":pi=I MRT`
(a) `M=((34.2"g L"^(-1)))/((342"g mol"^(-1)))=0.1"mol L"^(-1)=0.1M`
`pi=i MRT=(1)XX(0.1M)xxRT=(0.1M)xxRT`
(b) `M=((60.0"g L"^(-1)))/((60"g mol"^(-1)))=0.1" mol L"^(-1)=1M`
`pi=i MRT=(1) xx(1 M)xxRT=(1M)xxRT`
(c) `M=((90.0"g L"^(-1)))/((180"g mol"^(-1)))=0.5" g mol"^(-1)=0.5 M`
`pi = i MRT = (1)xx(0.5M)xxRT=(0.5M)xxRT`
(d) `M=((58.5"g L"^(-1)))/((58.5"g mol"^(-1)))=1" mol L"^(-1)=1M`
`pi=iMRT=(2)xx(1M)xxRT=(2M)xxRT.`
`"CORRECT increasing order of osmotic pressure "= (a)lt (c) lt (b) lt (d).`
87862.

A rarr 2B + 3C Time ""t " "prop Volume of reagent v_(2) " "v_(3) Reagent reacts with all A, B and C. Find K.

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SOLUTION :`K=(1)/(t)" In "(4V_(3))/((5V_(3)-V_(2)))`
87863.

A raduction of atomic size with increase in atomic number is a characteristic of elements of

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radioactive series
HIGH atomic MASS
f-block
all of these

Answer :C
87864.

Aradium Ra_88^224isotope, on emission of an alpha-particle gives rise to a new element whose mass number and atomic number will be:

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220 and 86
225 and 87
228 and 88
224 and 86

Solution :When an `alpha`-particle is emitted by any nucleus then atomic WEIGHT decrease by four UNITS and atomic number DECREASES by two units `._(88)RA^(224) overset(-alpha)rarr ._(86)X^(220)`
87865.

(A): Radium is a natural source of two noble gases (R): Radium undergoes alpha-emission spontaneously

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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 :A
87866.

A radioisotope undergoes decomposition which follows two parallel paths as shown below The percentage distribution of 'B' and 'C' are

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80% of 'B'and 20% of 'C'
`76.83%'B' and 23.17%'C'`
90%'B' and 10% 'C'
60% 'B' and 40% 'C'

Solution :The percent distribution of
'B' is `(k_(1))/(k_(1)+K_(2))XX100 =76.83%, "" 'c'" is" (k_(2))/(k_(1)+k_(2))XX 100=23.17%`
87867.

A radioelement has atomic number 90 and mass number 232. What is the atomic number and mass number of the end product obtained by loss of 6 - alpha and 4 - betaparticles?

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82208
88206
82206
84, 204

Solution :The nuclear reaction is
`""_(90)X^(232) to ""_(Z)Y^(A) + 6 ""_(2)alpha^(4) + 4 ""_(1)beta^(0)`
Considering MASS number,
`232 = A + 24 implies A = 208`
Considering atomic number,
`90 = Z + 12 - 4 implies Z = 82`
Now atomic number and mass number of the end PRODUCT is 82 and 208 respectively.
87868.

A radioisotope has a half-life of 900 seconds. Calculate the fraction of the original isotope which will remain behind after four half-life periods.

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SOLUTION :`1//16`
87869.

A radioisotope has a …….. Of 10 days. If today 125 g of it is left, what was its weigh 40 dayscarlicr?

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600 g
1000 g
1250 g
2000G

SOLUTION :`n = 40/10 = 4, 125 g = 1/(2^4) [A_0]`
or `[A_0] = 2000g. `
87870.

A radioactive substance having a half life period of 5 days was received after 20 days. It was found that there was 3 g of the isotope in the container. The initial weight of the isotope when placed was:

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12 g
24 g
36 g
48 g

Answer :D
87871.

A radioactive substance takes 20 min to decay 25%. How much time will be taken to decay 75%

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96.4 min
68 min
964 min
680 min

Solution :For 25% DECAY
`K = (2.303)/(20) "log"(100)/(75) = (2.303)/(20) xx 0.1249 = 0.1438`
For 75% decay
`t = (2.303)/(0.01438) "log" (100)/(25) = 96.4` MINUTE
87872.

A radioactive substance is decaying with t_((1)/(2))=30 days. On being separated into two fractions, one of the fractions, immediately after separation, decays with t_(1//2) = 2 days. The other fraction, immediately after separation, would show

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CONSTANT activity
increasing activity
decay with `t_(1//2)=30` days
decay with `t_(1//2)=28` days

Answer :B
87873.

A radioactive substance (parent ) decays to its daughter element the age of radioactive substance (t) is related to the daughter (d) parent (p) ratio by the equation :

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<P>`t = (1)/(lambda) "ln" (1 + (p)/(d))`
`t = (1)/(lambda) "ln" (1 + (d)/(p))`
`t = (1)/(lambda) "ln" ((d)/(p))`
`t = (1)/(lambda) "ln" ((p)/(d))`

Solution :`A to D `
`(N_(0) - X) = N^(PX) = N^(D) , (N_(0) - x) = N^(p) , N_(0) - N^(D) = N^(p) , N_(0) = (N^(D) + N^(p))`
`t = (1)/(lambda) XX log ((N^(D) +N^(P))/(N^(P))) , t = (1)/(lambda) xx 1_(n) (1 + (N^D)/(N^P))`
87874.

A radioactive substance is reduced to 1/8 of its original concentration in 24 s. The rate constant of the reaction is :

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`(0.69)/(16) s^(-1)`
`(1)/(8)s^(-1)`
`(1)/(24)s^(-1)`
`("In"2)/(8)s^(-1)`

Solution :(D ) `([A]_(0))/(2^(N)) = ([A]_(0))/(8) " ""or"" " 2^(n) =8 , n =3 `
`t_(1//2) = (24)/(3) = 8s`
`K = (In2)/(8) s^(-1)` .
87875.

A radioactive substance has a halflife of 50 days . Fraction of the material left behind after 100 day will be :

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0.5
0.75
0.125
0.25

Solution :`I overset(50 "DAYS")(to)(1)/(2)overset(50 "days") (to) (1)/(4)`
87876.

A radioactive substance has t_(1//2) 60 minutes. After 3 hrs, what precentage of radioactive substance will remain

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0.5
0.75
0.25
0.125

Solution :AMOUNT left `= (N_(0))/(2^(3)) = (100)/(8) = 12.5%`
87877.

A radioactive substance has t_(1//2) 60 minutes. After 3 hrs, what percentage of radioactive substance will remain ?

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0.5
1.75
0.25
0.125

Solution :No. of HALF lives in 3 HRS =3
`:.C_(N)=(1)/(2^(n))=(1)/(2^(3))=(1)/(8)`
`:.` AMOUNT LEFT =12.5%
87878.

A radioactive substance having a half life period of 3 days was received after 12 days. It was found that there was 3 g of the isotope in the container. The initial weight of the isotope when placed was :

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12 g
24 g
36 g
48 g

Answer :D
87879.

Carbon-14 has a half life period of 5760 years. 100 mg of sample containing C-14 is reduced to 25 mg in:

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11520 YEARS
2880 years
1440 years
17280 years.

ANSWER :A
87880.

A radioactive substance has a constant activity of 2000 disintegrations/minute. The material is separated into two fractions one of which has an initial activity of 1000 disintegrations per minute while the other fraction decays with t_((1)/(2))=24 hours. The total activity in both samples after 48 hours of separation is

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1500
1000
1250
2000

Answer :D
87881.

A radioactive substance has 0.1gm at a particuular instant aand has an average life of 1 day. The mass of the substance which always during the 4th day is given by:

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6.25mg
12.5mg
3.15mg
1.25mg

Answer :C
87882.

A radioactive sample of C^(14) showing 20 curie activity. Calculate its activity ("in" C_(i)) after 12000 yrs (t_(1//2)"of" C^(14) = 6000 "yrs")

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ANSWER :5
87883.

A radioactive substance .)(88)X^(228) (IIA) emits 3alpha and 3beta-particles to form 'Y'. O which group of long form of the periodic table does 'Y' belong?

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IVA
VA
VIA
VIIA

Solution :`UNDERSET("IIA GROUP")(._(88)X^(228)) to underset("VIIA group")(._(85)Y^(216))+3alpha+3beta`
87884.

A radioactive sample had an initial activity of 56 dpm . After 69.3 minutes , it was found to have an activity of 28 dpm , the number of atoms in a sample having an activity of 100 dpm is 10^(x) . The value of x is …….

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Solution :56 dpm `OVERSET(t_(1//2) = 69.3 "MIN") (to) 28 dpm A = lambda N , 100 = ((0.693)/(69.3)) , N_(t) , N_(t) = 10^(4)`
87885.

A radioactive sample has a half-life of 1500 years. A sealed tube containing 1 gm of the sample will contain after 3000 years

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1 G of the sample
0.5 g of the sample
0.25 g of the sample
0.00 g of the sample

Solution :`T = t_(1//2) xx n, :. 3000 = 1500 XXN :. N =2`
`:.` Amount left `= (1)/(2^(2)) = (1)/(4) = 0.25 g`
87886.

A radioactive sample emit n beta - particles is 2 sec , In next 2 sec it emits 0.75 n beta- particle , what is the mean life of the sample?

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Solution :LET initial number of nuclei `=N_(0)`
`N_(0)overset(2 "sec")rarr (N_(0)-N) overset(2 "sec")rarr(N_(0)-n-0.75 n)`
(No. of `beta` particles emitted=No. of nuclei disintegrated)
No. of nuclei disintegrated in time is given by `=N_(0)(1-e^(-lambdat t)`
`:.` for initial 2 seconds
`n=N_(0)(1-e^(-2lambda)) "" `...........(i)
for next2 seconds
`0.75 n=(N_(0)-n)(1-e^(-2 lambda)) "" ` ..........(ii)
Subtracting (ii) from (i) ((i)-(ii))
`.25 n=n (1-e^(-2lambda))`
`e^(-2lambda)=0.75`
`-2lambda=ln. (3)/(4) "" rArr 2lambda =ln .(4)/(3)`
`t_("avg")=(1)/(lambda)=(2)/(ln((4)/(3)))=6.95 "sec"`
87887.

A radioactive sample has half life of 1500 years. A sealed tube containing 1 g of a sample will contain ... g of the sample after 3000 years. The missing figure is :

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1 G of the SAMPLE
0.5 g of the sample
0.25 g of the sample
0.00 g of the sample.

Answer :C
87888.

A radioactive nuclide is produced at a constant rate of alpha- per second. It decay constant is lambda . If N_(0) be the no. of nuclei at time t = 0 , then maximum no. of nuclei possible are

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`( ALPHA)/( LAMBDA)`
`N_(0) + ( alpha)/( lambda)`
`N_(0)`
`( lambda)/( alpha) + N_(0)`

ANSWER :A
87889.

A radioactive nuclide X decays at the rate of 1.00 xx 10^(5) disintegration S^(-1) g^(-1). Radium decays at the rate of 3.70 xx 10^(10) disintegration s^(-1) g^(-1). The activity of X in millicurie g^(-1) (mci g^(-1)) is

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0.027
`0.270 xx 10^(-5)`
0.0027
0.00027

Solution :`(dx_(1))/(dt) = LAMDA N_(1), 1 xx 10^(5) = lamda N_(1)`
`(dx_(2))/(dt) = lamda N_(2), 3.7 xx 10^(10) = lamda N_(2)`
`(N_(1))/(N_(2)) = (1 xx 10^(5))/(3.7 xx 10^(10)) = (1 xx 10^(-5))/(3.7) = 0.27 xx 10^(-5)`
87890.

A radioactive sample decays to half of its initial concetration in 6.93 minutes. It further decays half in next 6.93 minutes. The rate constant for the reaction is

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`0.10 "MIN"^(-1)`
`0.01 "min"^(-1)`
`1.0 "min"^(-1)`
`0.001 "min"^(-1)`

SOLUTION :`K = (0.693)/(t_(1//2)) = (0.693)/(6.93) = 0.10 "min"^(-1)`
87891.

A radioactive nuclide generally disintegrates by alpha-emission when its N/P ratio is

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LESS than 1
equal to one
equal to 1.2
greater than 1.5

Answer :D
87892.

A radioactive nuclide is produced at a constant rate alpha-"per second"/ It's decay constant is lambda sec^(-1). If N_(0) b the number of nuclei at time t=0, then maximum number of nuclei at any instant possible are:

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`(ALPHA)/(LAMBDA)`
`N_(0)-(alpha)/(lambda)`
`(lambda)/(alpha)`
`alpha+lambdaN_(0)`

ANSWER :A
87893.

A radioactive mixture contaning a short lived species A and short lived species B. both emitting alpha-"particles" at a given instant, emit at rate 10,000 alpha-"participle" per minute. 10minutes later, it emits at the rate of 7000 particles per minutes. It half lives of the species are 10minutes and 100 hours respectively, then the ratio of activities of A : Bin the initial mixture was:

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`3: 7 `
`4:6`
`6:4`
`10:4`

ANSWER :C
87894.

A radioactive nucleus decays by emitting one alpha and two beta particles, the daughter nucleus is ………………….. of the parent

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SOLUTION :ISOTOPE
87895.

A radioactive nuclide emitts gamma- rays due to the :

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emission of an ELECTRON from its orbital
nuclear ENERGY TRANSITION from a higher state to a lower state
presence of LESS NEUTRONS than protons
presence of more neutrons than protons

Answer :B
87896.

A radioactive isotopeA undergoes simultaneous decay to two different nuclei as Assuming that initially neither P norQ was present, after how many hours, amount of Q will be just double to the amount of A remaining?

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Both Assertion and REASON are CORRECT and Reason is the correct explanation of the Assertion
Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion
Assertion is correct but Reason is INCORRECT
Assertion is incorrect but Reason is correct

Answer :6
87897.

A radioactive material exhibits an intensity of 3.8 mCi at time 't' & an intensity of 1.35 m Ci five minutes later. Calculate the halflife period of the substance .

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202.28 SEC
102.28 Sec
3.4 minutes
34 minutes

SOLUTION :`((0.693)/(t_(1//2))) xx 5 = 2.303 LOG ((3.8)/(1.36)) , t_(1//2) = (0.693 xx 5)/(2.303 xx 0.446) = 3.374` min = 3.4 min
87898.

A radioactive isotope having a half-life of 3 days was received after 12 days. It was found that there were 3g of the isotope in the container. The initial weight of the isotope when packed was

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12g
24g
36g
48g

Answer :D
87899.

A radioactive isotope having a half-life of 3 days was received after 12 days. It was found that there were 3 g of the isotope in the container. The initial weight of the isotope when packed was

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12 G
24 g
36 g
48 g

Solution :`n = (12)/(3) = 4`
`:. N_(0) = N xx 2^(n) = 3 xx 2^(4) = 48 g`
87900.

A radioactive isotope having a half life of 2.3 days was received after 9.2 days. It was found that there were 300 mg of the isotope in the container. The initial amount of the isotope was

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3600 MG
1200 mg
2400 mg
4800 mg.

Solution :9.2 days = 4 half-lives
Amount LEFT after N half-lives = `1/(2^n) XX a`
`300 = 1/(2^4) a`
or `a = 300 xx 16 = 4800` mg.