Question

A gas at 300 K has some volume. At what temperature, will it become half this volume if the pressure remain constant?

• A. 145K
• B. 150K
• C. 163K
• D. 188K

Answer 1

The correct option is B

150K

Let initial volume V₁ = V at 300 K

Final volume $V_2=\frac{V}{2}$ at $T_2$ temperature

Given that pressure remains constant. Then, according to Charles' law,

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

Therefore,$T_2=\frac{V_2\times T_1}{V_1}$ = $\frac{\frac{V}{2}\times 300}{V}$ = 150K

Hence, the final temperature is 150 K.