Naturally occurring potassium consists of 0.01% at 40 K which has a half-life of 1.28 x 10⁹ yr. Activity of 1.00 g sample of KCl is

Direction : This section contains a passage describing theory, experiments, data, etc. Two questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d).

Passage l

Isotope of oxygen with mass number less than 16 undergoes β⁺ -emission. Assume an equimolar mixture of ¹⁴ O and ¹⁵ O, Also t₅₀ (¹⁴ O) = 71s, t₅₀ (¹⁵ O) = 124s.

Q. Ratio of rate constants of ¹⁴ O to ¹⁵ O  is

Passage l

Isotope of oxygen with mass number less than 16 undergoes β⁺ -emission. Assume an equimolar mixture of ¹⁴ O and ¹⁵ O, Also t₅₀ (¹⁴ O) = 71s, t₅₀ (¹⁵ O) = 124s.

Q. Ratio of ¹⁴ O to ¹⁵ O  left after 1.00 h is

Passage II

Consider acid-hydrolysis of ester which is first order reaction.

CH₃ COOC₂ H₅ + H₂ O  CH₃ COOH + C₂ H₅ OH

Kinetics is studied by titration of the acid with NaOH at a given time.
V₀ = Volume of NaOH at start, V_t = Volume of NaOH at time t, V_∞ = Volume of NaOH at the end of the complete hydrolysis.

Q. 
Rate constant k is given by

Passage II

Consider acid-hydrolysis of ester which is first order reaction.

CH₃ COOC₂ H₅ + H₂ O  CH₃ COOH + C₂ H₅ OH

Kinetics is studied by titration of the acid with NaOH at a given time.
V₀ = Volume of NaOH at start, V_t = Volume of NaOH at time t, V_∞ = Volume of NaOH at the end of the complete hydrolysis.

Q.

If ester is 50% hydrolysed, then  

Passage III

I, II and III are three vessels of equal volumes containing molecules of A as shown and in each A decomposes into products.

Q. 
Initial rate of decomposition of A will be in order in these three vessels as

Passage III

I, II and III are three vessels of equal volumes containing molecules of A as shown and in each A decomposes into products.

Q. 
Time of 50% decomposition is in order

Direction : This section contains 3 questions. When worked out will result in one integer from 0 to 9 (both inclusive).This section contains 3  questions, when worked out will result in an integer value from 0 to 9 (both inclusive)

Q. A radioactive element gets spilled over the floor of a room. Its half-life period is 30 days. If the initial activity is ten times the permissible value, it will be safer to enter the room after 10ⁿ days. What is the value of n?

For the first order reaction, variation of log₁₀ (a - x)vs time (t) is shown below.

Q. 
Its half-life period is logx. What is the value of x?

For the first order reaction,

Q. 
If OA = 1.3010 then reactant left after 0.6021 min i s .......unit.