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.
| 30351. |
The half life of the homogeneousgaseous reaction SO_2Cl_2rarrSO_2+Cl_2 which obeys first order kinetics is 8.0 minutes. How long will it take for the concentration of SO_2Cl_2 to the reduced to 1% of the initial value ? |
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Answer» Solution :We KNOW that , k = `0.693//t_(1//2)` k = 0.693/8.0 `=0.087 "MINUTES"^(-1)` For a first order REACTION `t=(2.303)/klog.([A_0])/([A])` `t = (2.303)/(0.087"min"^(-1))LOG.(100/1)` t = 52.93 min |
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| 30352. |
The half-life of Tc^(99) is 6.0 hr. The delivery of a sample of Tc^(99) from the reactor to the nuclear medicine lab of a certain hospital takes 3.0 hr. What is the minimum amount of Tc^(99) that must be shipped in order for the lab to receive 10.0 mg? |
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Answer» 20.0 mg |
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| 30353. |
The half-life of radium (226) is 1620 years. The time taken to convert 10 grams of radium to 1.25 grams is |
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Answer» 810 years |
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| 30354. |
The half-life of Rn is 46 days, what amount will be left from 2 mole of it after 138 days? |
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Answer» `0.25` mole `N_0 = 2` mole, `N_t = ?` As, `N_t = N_0 xx (1/2)^(n) implies N_t= 2 xx (1/2)^(3) = 2/8 = 0.25` mole. HENCE 0.25 mole of .Rn. will be LEFT from 2 mole of it after 138 days. |
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| 30355. |
The half-life of radioactive sodium is 15.0 hours. How many hours would it taken for 64 gms of sodium to decay one-eighth of its original value |
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Answer» 3 and `lamda = (0.693)/(t_(1//2)) = (0.693)/(15)` or `lamda = 0.0462` `:.` using equation (i) we GET `2.303 "log" (64)/(8) = 0.0462 xx t` or `t = 45`hr |
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| 30356. |
The half life of radioactive sodium is 15 hours its disintegration constant is |
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Answer» `0.0462 h^(-1)` |
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| 30357. |
The half life of radioactive sodium is 15 hours. How many hours would it take for 64 g of sodium to decay to one-eight of its original value? |
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Answer» 3 HOURS `t=(2.303 xx(15 "hours"))/(0.693)log64/8` `=(2.303 xx 15 xx 0.9030)/(0.693) = 45` hours |
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| 30358. |
The half life of radioactive element depends upon the |
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Answer» NATURE of element |
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| 30359. |
The half life of paracetamol with in the body is .... |
| Answer» Answer :B | |
| 30360. |
The half-life of cobalt - 60 is 5.26 years. Calculate the % activity remaining after 4 years. |
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Answer» SOLUTION :`t^(1//2)=5.26 years` t=4 years here to findthe % of activity (i.e) to find`(N)/(N_(0))` `log(N_(0))/(N)=(lambdaxxt)/(2.303)` `=(0.693)/(5.26)xx(4)/(2.303)` =0.2288 `(N_(0))/(N)` = ANTILOG (0.2288) =1.693 % of activity = `0.59 XX100` =59% |
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| 30361. |
The half-life of C^(14 is 5760 years.for a 200 mg sample ofC^(14) , the time taken to change to 25 mg is |
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Answer» 11520 years SUPPOSE REQUIRED years are x. ALSO, suppose no. of half lives = n `:. (R/(R_0))= (1/2)^n IMPLIES (25/100) = (1/2)^(n)` `implies (1/8) = (1/2)^(n) implies (1/2)^(3) = (1/2)^(n) implies n = 3` `:. n = x/(5760) implies 3 = x/(5760) implies x = 5760 xx 3 = 17280` years. |
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| 30362. |
The half-life of Co^(60) is 7 years. If one g of it decays, the amount of the substance remaining after 28 years is |
| Answer» Solution :`n = (28)/(7) = 4, N = (N_(0))/(2^(n)), N = (1)/(2^(4)) = (1)/(16) = 0.0625 g` | |
| 30363. |
The half life of a substance in a certain enzyme-catalysed reaction is 138 s . The time required for the concentration of the substance to fall from 1.28 mg L^(-1) to 0.04 mg L^(-1) is |
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Answer» 690s No. of half-lives =5 So , TIMES required = `5 XX 138 = 690 `s |
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| 30364. |
The half-life of a substance in a certain enzyme-catalysed reaction is 138 s. The time required for the concentration of the substance to fall from 1.28" mg L"^(-1)" to "0.04" mg L"^(-1), is |
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Answer» 414 s `0.04 = (1.28)/(2^(n)) or 2^(n) = 32 = 2^(5) therefore n = 5` Time taken ` = 5 ` half lives`= 5 xx 138 s = 690 s.` |
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| 30365. |
The half life of a reaction is inversely proportionaly to the square of the initial concentration of the reactant . Then the order of the reaction is : |
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Answer» 0 where n = ORDER of reaction SINCE `t_(1//2)prop (1)/([A_(0)]^(2))` `implies t_(1//2)prop[A_(0)]^(-2)` `1-n =-2 ` n=3. |
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| 30366. |
The half-life of a reaction is halved as the initial concentration of the reactant is doubled. The order of reaction is |
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Answer» Solution :`t_(1//2) PROP (1)/([A_(0)]^(n-1)), ((t_(1//2))1)/((t_(1//2))2) = ([A_(0)]_(2)^(n-1))/([A_(0)]_(1)^(n-1)) = {([A_(0)]_(2))/([A_(0)]_(1))}^(n-1)` `(t)/(t//2) = (2a)/(a)^(n-1) or 2 = (2)^(n-1)` or ` n -1 = 1 or n =2 ` |
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| 30367. |
The half-life of a radionuclide is 69.3 minutes. What is its average life (in minutes) |
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Answer» 100 `(TAU) 1.44 t_(1//2) = 1.44 xx 69.3 = 99.7 ~~ 100` MINUTES |
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| 30368. |
The half-life of a radioisotope is four hour. If the initial mass of the isotope was 200 g, the mass remaining after 24 hours undecayed is |
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Answer» 3.125 G `N = (200)/(64) = 3.125 g` |
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| 30369. |
The half-life of a radioisotope is 20 years. If the sample has an initial activity of 640 dps,than what will be its activity after 80 years? |
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Answer» 20 dps `N_0 = 640 dps, N_t = ?` Number of half lives gone `(n) = (80/20)= 4` Now, `N_t = N_0 XX (1/2)^(n) = 640 xx (1/2)^(4) = (640)/(16) = 40 dps` The ACTIVITY of the radioisotope will be 40 dps after 80 years. |
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| 30370. |
The half life of a radioisotope is 4 hr. If the initial mass of the isotope was 200 g, the mass remaining after 24 hr undecayed is: |
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Answer» 3.125 g Mass left `=([A]_(0))/(2^(6))=(200)/(2^(6))` `=(200)/(64)=3.125g` |
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| 30371. |
The half-life of a radioactive nucleide 'X is 24 hours, the time required for 12.5% of the original X to remain is : |
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Answer» 1 days |
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| 30372. |
The half - lifeof a radioactive isotope is three hours. If the initial mass of the isotope was 300 g. the masswhichremainsundecayed in 18 hourswould be |
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Answer» 2.34 g ` N = N_(0)/(2^(n)) = 300/2^(6)4.68 g` |
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| 30373. |
The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256g, the mass of it remaining undecayed after 18 hours would be |
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Answer» `4.0 G` |
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| 30374. |
The half-life of a radioactive isotope is 3 hours. Value of its disintegration constant is |
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Answer» 0.231 PER HR |
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| 30375. |
The half life of a radioactive isotope is three hours. If the initial mass of the isotope was 300 g, the mass which remained undecayed in 18 hours would be : |
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Answer» 2.34g `=(300)/(64)=4.68g` |
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| 30376. |
The half life of a radioactive isotope is 2.5 hour . The mass of it that remains undecayed after 10 hour is (If the mass of the isotope was 16 g) : |
Answer» SOLUTION :
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| 30377. |
The half-life of a radioactive isotope is 1.5 hours. The mass of it that remains undecayed after 6hours is (if the initial mass of the isotope was 32g) |
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Answer» 32g |
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| 30378. |
The half-life of a radioactive element is 6 months. The time taken to reduce its original concentration to its 1.16 value is |
| Answer» Solution :`t = (2.303 XX t_(1//2))/(0.693) "log" (N_(0))/(N), N = (1)/(16)` | |
| 30379. |
The half-life of a radioactive element is 10 hours. How much will be left after 4 hours in 1 g atom sample ? |
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Answer» `45.6 XX 10^(23)` atoms `n = 4//10` `:. N_t = 6.022 xx 10^(23) xx (1/2)^(0.4) = 4.56 xx 10^(23)` |
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| 30380. |
The half-life of a radioactive element is 10 hours. How much will be left after 4 hours in 1 g atom sample |
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Answer» `45.6 XX 10^(23)` ATOMS `:. N_(t) = 6.022 xx 10^(23) xx ((1)/(2))^(-.4) = 4.56 xx 10^(23)` |
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| 30381. |
The half-life of a radioactive element is 100 minutes . The time interval between the stages 50% and 87.5 % decay will be x xx 40 min . The value ofx is _____ |
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Answer» |
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| 30382. |
The half life of a first order reaction x rarr products is 6.932 xx10^4 s at 500 K . What percentage of x would be decomposed on heating at 500 K for 100 min . (e^(0.06)=1.06) |
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Answer» Solution :Given `t_(1//2) = 0.6932xx10^4s` To solve : when t = 100 min , `([A_0]-[A])/([A_0])xx100= ? ` We known that a first order reaction , `t_(1//2)=(0.6932)/K` `k=(0.6932)/(6.932xx10^4)impliesk=10^(-5)s^(-1)` `k=(1/t)LN(([A_0])/([A]))` `10^(-5)s^(-1)xx100xx60s=ln([A_0])/([A])` `0.06=ln(([A_0])/([A]))` `([A_0])/([A])=E^(0.06)=1.06` `:. ([A_0]-[A])/([A_0])xx100%=(1-([A])/([A_0]))xx100%=(1-1/(1.06))xx100%=5.6%` |
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| 30383. |
The half -life of a first order reaction [k=(2.303)/(t)"log"((a)/(a-x))] is |
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Answer» DIRECTLY proportional to a |
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| 30384. |
The half- lifeof a firstorderreactionis 900min at820 k Estimateits half- lifeat 720 kif theenergyof activationof thereactionis 250kJ "mol"^(-1) (1.464 xx10^(5)min) |
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Answer» Solution :HINT `: (k_(2))/(k_(1))= ((t_(1//2))_(1))/(t_(1//2))_(2)` Half- LIFE period`-1.46xx 10^(5) min` |
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| 30385. |
The half-life of a first order reaction [k=2.303/t log (a/(a-x))] is |
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Answer» directly proportional to 'a' `k = (2.303)/(t) "LOG" (a)/(a-x) ` , when `t = t_(1//2) , x= (a)/(2)` `therefore t_(1//2)= (2.303)/(k) "log" (a)/(a- (a//2))` or `t_(1//2) = (2.303)/(k) "log" 2 = (2.303 xx 0.3010)/(k) = (0.693)/(k)` i.e., Half LIFE of a1 order reaction is independent of INITIAL concentration 'a' of reactant. |
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| 30386. |
The half life of a first order reaction is 69.35 sec . The value of the rate constant of the reaction is |
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Answer» `1. 0 s^(-1)` |
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| 30387. |
The half- life of afirstorderreactionis 1.7hours. Howlongwill it takefor 20%of thereactanttodisappear ? |
| Answer» SOLUTION :Timerequiredfor 20%reaction=32 .86 MIN | |
| 30388. |
The half-life of a first order reaction is 30 min and the initial concentration of the reactant is 0.1 M. If the initial concentration of reactant is doubled, then the half-life of the reaction will be |
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Answer» 1800 s |
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| 30389. |
The half life of a first order reaction is |
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Answer» INDEPENDENT of the initial CONCENTRATION of the reactant |
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| 30390. |
Thehalf life of a firstorderreactionis 30 minand theinitialconcentrationof thereactant is 0.1M . Ifthe initialconcentrationofreactantisdoubled,thenthehalflife ofthe reactionwill be |
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Answer» 1800S |
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| 30391. |
The half life of a first order reaction is 100 seconds. What is the time required for 90% completion of the reaction? |
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Answer» 100 sec. |
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| 30392. |
The half life of a first order reaction is 100 seconds at 280 K. If the temperature coefficient is 3.0 its rate constant at 290 K in s^(-1) is |
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Answer» `2.08xx10^(-3)` |
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| 30393. |
The half life of a first order reaction is 10 minutes. If initial amount is 0.08 mole/litre and concentration at some instant ‘t’ is 0.01 mol/litre, then the value of ‘t’ is : |
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Answer» 10 MINUTES |
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| 30394. |
The half-life of a first order reaction is 10 minutes. If initial amount is 0.08 mol/L and concentration at some instant is 0.01 mol/L, then t is |
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Answer» 10 minutes `t=(2.303)/(k)"LOG"(0.08)/(0.01)=(2.303xx10)/(0.693)log` 8=30 minutes |
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| 30395. |
The half-life of a first order reactionhaving rate constant K = 1.7 xx 10^(-5) s^(-1) is |
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Answer» Solution :k = `1.7 xx 10^(-5) s^(-1)` `t_(1//2) = (0.693)/(k) = (0.693)/(1.7) xx 10^(5) = 11.32` h. |
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| 30396. |
The half life of a first order reaction AtoB+C is 10 minutes. The concentration of 'A' would be reduced to 10% of the original concentration in |
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Answer» 10 minutes |
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| 30397. |
The half life of a 1^(st) order reaction is 1 min 40 seconds. Calculate its rate constant (k) |
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Answer» `k=6.9xx10^(-3) "MIN" ^(-1)` |
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| 30398. |
The half-life of ._(92)U^(238) " is " 4.5 xx 10^(9) years. After how many years, the amount of ._(92)U^(238) will be reduced to half of its present amount |
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Answer» `9.0 XX 10^(9)` years |
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| 30399. |
The half life of ._(92)^(238)U is 4.5 xx 10^(9) years. Uranium emits an alphaparticle to give thorium. Calculate the time required to get the product which contains equal masses of thorium and uranium. |
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Answer» SOLUTION :`N_(0) = (1)/(238) + (1)/(234)`,`N = (1)/(238)` Use, `(0.693)/(t_(1//2)) = (2.303)/(t) log_(10) ((N_(0))/(N))` |
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| 30400. |
The half-life of ._(6)^(14)C is 5730 year. What fraction of its original C^(14) would left after 22920 year of storage? |
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Answer» 0.5 |
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