For a first order reaction, the half-life period is

• dependent on the square of the initial concentration

• dependent on first power of initial concentration

• dependent on the square root of initial concentration

• independent on initial concentration

A radioactive isotope having t_1/2 = 3 days was read after 12 days. If 3g of isotope is contained in container, the initial weight of isotope was

• 12g

• 24g

• 36g

• 48g

After how many seconds will the concentration of the reactant in a first order reaction be halved if the rate constant is 1.155 x 10^-3 s^-1?

• 600

• 100

• 60

• 10

For a reaction, $\mathrm{A} + 2\mathrm{B} \to \mathrm{C}, \mathrm{rate} \mathrm{is} \mathrm{given} \mathrm{by} +\frac{\mathrm{d}\left[\mathrm{C}\right]}{\mathrm{dt}}= \mathrm{k} \left[\mathrm{A}\right] \left[\mathrm{B}\right],$hence, the order of the reaction is

• 3

• 2

• 1

• 0

In a multistep reaction, the overall rate of reaction is equal to the

• rate of slowest step

• rate of fastest step

• average rate of various step

• the rate of last step

The first order integrated rate equation is

• k = $\frac{\mathrm{x}}{\mathrm{t}}$

• k = $\frac{2.303}{\mathrm{t}} \log \frac{\mathrm{a}}{\mathrm{a} - \mathrm{x}}$

• k = $\frac{1}{\mathrm{t} } \ln \frac{\mathrm{a}}{\mathrm{a} - \mathrm{x}}$

• k = $\frac{1}{\mathrm{t}}\frac{\mathrm{x}}{\mathrm{a}(\mathrm{a} - \mathrm{x})}$

For nuclear fusion reactions, the fusion temperature is of the order of

• 10⁵ K

• 10³ K

• 10⁷ K

• 100 K

Unit of decay constant of radioactive disintegration is

• time

• min^-2

• time^-1

• time mol^-1

A first order reaction is given as A $\to$ products. Its integrated equation is

• $\mathrm{k} =\frac{ 2.303}{\mathrm{t}}\log \frac{ \mathrm{a}-\mathrm{x}}{\mathrm{a}}$

• $\mathrm{k} = \frac{1}{\mathrm{t}} \log \frac{\mathrm{a}}{\mathrm{a}-\mathrm{x}}$

• $\mathrm{k} = \frac{2.303}{\mathrm{t}} \log \frac{\mathrm{a}}{\mathrm{a}-\mathrm{x}}$

• $-\mathrm{k} = \frac{1}{\mathrm{t}} \log \frac{\mathrm{a} -\mathrm{x}}{\mathrm{a}}$

The units of rate constant for first order reaction are

• mol L^-1s^-1

• s^-1

• Lmol^-1s^-1

• L²mol^-2s^-1