Question

If the temperature of a gas is increased by 1 K at constant pressure, its volume increases by 0.0035 of the initial volume. The temperature of the gas is :

• A. 100 K
• B. 150 K
• C. 300 K
• D. 285.7 K

Answer 1

The correct option is D 285.7 K

Let $T$ be the initial temperature. So, $T+1$ be the final temperature.

Let $x=$ initial volume, then $(x+0.0035x)$ is the final volume.

$T_1/T_2=V_1/V_2$

So, $\frac{T}{T+1}$ $=$ $\frac{x}{x+0.0035x}$

Or $\frac{T+1}{T}$ $=$ 1.0035

Solving we get, T $=$ 285.7 K