Question

$10g$ of a gas at NTP, occupies a volume of $2$ litres. At what temperature will the volume be double, pressure and amount of the gas remains same?

• A. $273K$
• B. $546K$
• C. $-{273}^{o}C$
• D. ${546}^{o}C$

Answer 1

The correct option is B $546K$

Given,

$V_1=2L$

$T_1=273K$

$V_2=4L$

$T_2=??$

We know that,

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

$\frac{2}{4}=\sqrt{\frac{273}{T_2}}$

$T_2=546K$