Hydrogenation of vegetable ghee at 25⁰C reduces pressure of H₂ from 2 atom to 1.2 atom in 50 minute. The rate of reaction in terms of molarity per second is:

1. 1.09 x 10^-6

2. 1.09 x 10^-5

3. 1.09 x 10^-7

4. 1.09 x 10^-8

For a reaction A$\stackrel{<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>}{\to }$ Product, rate law is $-\frac{d\left[A\right]}{dt}=K[A{]}_0$. The concentration of A left after time t when $t=\frac{1}{K}$ is:

1. $\frac{[A{]}_0}{e}$

2. $[A{]}_0<mspace\; width="1em"></mspace>\times e$

3. $\frac{[A{]}_0}{e^2}$

4. $\frac{1}{[A{]}_0}$

The half time of a second order reaction is:

1. Inversely proportional to the square of the initial concentration of the reactants.

2. Inversely proportional to the initial concentration of the reactants.

3. Proportional to the initial concentration of reactants.

4. Independent of the initial concentration of reactants.

The rate constant of a second-order reaction is
10^–2 mol^–1 litre s^–1 . The rate constant expressed in cc molecule^–1 min^–1 is:

1. 9.96 × 10^–22

2. 9.96 × 10^–23

3. 9.96 × 10^–21

4. 1.004 × 10^–24

The half-life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be (log 2 = 0.301):

1. 23.03 minutes

2. 46.06 minutes

3. 460.6 minutes

4. 230.3 minutes

For the elementary reaction M $\to$ N, the rate of disappearance of M increases by a factor of 8 upon doubling the concentration of M. The order of the reaction with respect to M will be:

1. 4

2. 3

3. 2

4. 1

For a certain reaction of order \('n'\) the time for half change \(t_{1/2}\) is given by; \(=,t_{1/2}=\dfrac{2-\sqrt2}{K}\times C^{1/2}_0,\) where \(K\) is rate constant and \(C_0\) is initial concentration. The value of \(n\) is:

1. 1

2. 2

3. 0

4. 0.5

In the following first order competing reactions:

A + Reagent $\to$ Product

B + Reagent $\to$ Product

The ratio of K₁/K₂ if only 50% of B will have been reacted when 94% of A has been reacted in same time is:

1. 4.06

2. 0.246

3. 2.06

4. 0.06

For a reversible reaction A $\underset{k_2}{\overset{k_1}{\rightleftharpoons }}$ B, Ist order in both the directions, the rate of reaction is given by:

1. K₁[A]

2. -K₂B

3. K₁[A] + K₂[B]

4. K₁[A] - K₂[B]

The time for half-life of a first order reaction is 1 hr. What is the time taken for 87.5% completion of the reaction?

1. 1 hour

2. 2 hour

3. 3 hour

4. 4 hour