Question

It is desired to fill a cylinder of 1 $L$ capacity at 82 $atm$ and ${27}^{\circ }C$ with hydrogen. What will be the density of the hydrogen in the cylinder? What will be the volume of hydrogen under standard conditions of temperature and pressure?

• A. $V=37.3L$
• B. $V=74.6L$
• C. $V=149.2L$
• D. None of these

Answer 1

The correct option is B $V=74.6L$

Given
$V_1=1L,V_2=?$
$P_1=82atm,P_2=1atm$
$T_1={27}^{\circ }C$ or $300.15K$; $T_2=0^{\circ }C$ or $273.15K$
$density=?$
$\therefore V_2=\frac{P_1{V}_1}{T_1}\times \frac{T_2}{P_2}=\frac{82\times 1}{300.15}\times \frac{273.15}{1}=74.6L$