Question

One litre of a gas weights 2g at 300 K and 1 atm. pressure. If the pressure is made 0.75 atm, at which temperature will one litre of the same gas weigh 1g?

• A. 600K
• B. 800K
• C. 900K
• D. 450K

Answer 1

The correct option is D

450K

PV = nRT

$\frac{P_1}{P_2}$ = $\frac{V_1}{V_2}$ $\frac{T_1}{T_2}$

$\frac{1}{0.75}$ = $\frac{2}{1}$ $\times$ $\frac{300}{T_2}$

$T_2$ = 600 $\times 0.75$ = 6 $\times$ 75 = 450 k