Question

If the sample of a gas has a volume of 500 $c{m}^3$at 473 K, then its volume becomes 260 $c{m}^3$ at ___. (Assume that pressure is kept constant.)

• A. 154.96 K
• B. 245.96 K
• C. 254.96 K
• D. 145.96 K

Answer 1

The correct option is B 245.96 K

The temperature at which the volume becomes 260 cm${}^3$ is 245.96 K.
Using Charles' law,
$\frac{V_1}{V_2}$= $\frac{T_1}{T_2}$= 500 $c{m}^3$
V${}_2$ = 260$c{m}^3$,T${}_1$ = 473 K T${}_2$ = $\frac{T_1\times V_2}{V_1}$= 473 × 260/500 = 245.96 K