In the decay sequence: U 92 238 → - x 1 Th 90 234 → - x 2 Pa 91 234 → - x 3 Z 234 → - x 4 Th 90 234 x 1 , x 2 , x 3 and x 4 are the particles/ radiation emitted by the respective isotopes. The correct option(s) is/are:

x 1 will deflect towards the negatively charged plate.

HARD

Earn 100

Tritium $_{1}^{3} T$ (an isotope of H) combine with fluorine to form a weak acid TF which ionises to give T⁺. Tritium is radioactive and a $β - emitter$ . A freshly prepared dilute aqueous solution of TF has a pT (equivalent of pH) of 1.7 and freezes at - 0.372 $° C$ . If 600 mL of freshly prepared solution were allowed to stand for 24.8 years, calculate ionisation constant of TF. Charge carried by $β - particles$ emitted by tritium in faraday.

[Given : K_f for H₂O = 1.86, t₁_/2 (T) = 12.4 yrs.]

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Important Questions on Chemical Kinetics

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Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

Draw the curve showing the variation of binding energy per nucleon as a function of mass number

A

. Explain the stability of nucleus from the curve

HARD

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

Define the term ‘decay constant’ of a radioactive sample. The rate of disintegration of a given radioactive nucleus is

10000

disintegrations and

5, 000

disintegrations after

20 h o u r

. and

30 h o u r

. respectively from start. Calculate the half-life and the initial number of nuclei at

t = 0

EASY

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

What is meant by half life of a radioactive substance? Write its relation with decay constant.

EASY

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

In the radioactive disintegration series

_{90}^{232} T h \to_{82}^{208} P b,

involving

α

and

β

decay, the total number of

α

and

β

particles emitted are

EASY

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

Consider, the radioactive disintegration

{}_{82}A^{210} \to B \to C \to {}_{82}D^{206}

The sequence of emission can be

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Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

^{227} A c

has a half-life of 22 years with respect to radioactive decay. The decay follows two parallel paths:

^{227} Ac \to^{227} T h

and

^{227} Ac \to^{223} F r

. If the percentage of the two daughter nuclides are

2.0

and

98.0

, respectively the decay constant (in

y e a r^{- 1}

) for

^{227} Ac \to^{227} T h

path is closest to

MEDIUM

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

Predict the element resulting from two

α

decay, two consecutive

β

decay and one

γ

decay of

Th - 232

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Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

In the radioactive decay process

Question Image

1. A and B are isobars

2. A and D are isotopes

3. C and D are isobars

4. A and C are isotopes

EASY

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

The decay constant which is the reciprocal of the time duration for which the number of the atoms of radioactive substance falls to

EASY

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

If the quantity of a radioactive element is doubled, the rate of disintegration will

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Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

In the decay sequence:

${}_{92}^{238}U \overset{- x_{1}}{\to} {}_{90}^{234}{Th} \overset{- x_{2}}{\to} {}_{91}^{234}{Pa} \overset{- x_{3}}{\to} {}^{234}Z \overset{- x_{4}}{\to} {}_{90}^{234}{Th}$

$x_{1}, x_{2}, x_{3}$ and $x_{4}$ are the particles/ radiation emitted by the respective isotopes. The correct option(s) is/are:

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Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

A bacterial infection in an internal wound grows as

N^{'} (t) = N_{0} e x p (t)

, where the time

t

is in hours. A dose of antibiotic, taken orally, needs 1 hour to reach the wound. Once it reaches there, the bacterial population goes down as

\frac{d N}{d t} = - 5 N^{2}

. What will be the plot of

\frac{N_{0}}{N}

t

after

1

hour?

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Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

A nucleus

X

captures a

β

particle and then emits a neutron and

γ

ray to form

Y . X

and

Y

are:-

HARD

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

A and B are two substances undergoing radioactive decay in a container. The half life of A is

15 \min

and that of B is

5 \min

. If the initial concentration of B is

4

times that of A and they both start decaying at the same time, how much time will it take for the concentration of both of them to be same? ________min.

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Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

The ratio of the binding energies of three nuclei is

1 : 4 : 9

. If the ratio of their nuclear radii is

1 : 2 : 3

, the nuclei in the decreasing order of the stability can be arranged as

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{}_{93}^{239}{Np}

is a

β

-emitter, but the product is also radioactive and give

{}^{235}U

. Which particle(s) is/are emitted by the product?

EASY

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

Select the correct option

HARD

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

A radioactive sample is emitting

64

times radiations than non-hazardous limit. If its half life is

2 h

, after what time it become non hazardous?

HARD

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

{}_{92}^{238}U

is known to undergo radioactive decay to form

{}_{82}^{206}{Pb}

by emitting alpha and beta particles. A rock initially contained

68 \times 10^{- 6} g

{}_{92}^{238}U

. If the number of alpha particles that it would emit during its radioactive decay of

{}_{92}^{238}U

{}_{82}^{206}{Pb}

in three half-lives is

Z \times 10^{18}

, then what is the value of

Z

HARD

Chemistry>Physical Chemistry>Chemical Kinetics>Integrated Rate Equations of Chemical Reaction

In the nuclear transmutation

_{4}^{9} Be + X ⟶_{4}^{8} Be + Y

, identify

(X, Y)

Important Questions on Chemical Kinetics

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