Question

Which of the following statements is/are correct?
(IIT-JEE, 1999)

• A. A plot of log kp versus 1/T is linear.
• B. A plot of log [X] versus time is linear for a first order reaction, x → p.
• C. A plot of log p versus 1/T is linear at constant volume.
• D. A plot of p versus 1/V is linear at constant temperature.

Answer 1

Answer: (A), (B), (D)

The correct options are
A

A plot of log kp versus 1/T is linear.

B

A plot of log [X] versus time is linear for a first order reaction, x → p.

D A plot of p versus 1/V is linear at constant temperature.

In $k_p=lnA-\frac{E_a}{R}\times \frac{1}{T}(y=c+mx)$

Therefore, plotting a graph between $log{k}_p$ versus l/T is straight line.

For a first order reaction,

$log{A}_t=log{A}_0-\frac{k}{2.3}t(y=c+mx)$

The graph between $log{A}_t$ and time is a straight line.

At constant temperature, PV = constant for the given mass of a gas (Boyle’s law). So, the graph between P and l/V is a straight line.