First slide

Gaseous state

Question

A quantity of hydrogen gas occupies a volume of 30.0 mL at a certain temperature and pressure. What volume would half this mass of hydrogen occupy at triple the absolute temperature and the pressure were one-ninth that of the original gas?

Moderate

A

405 mL
B

810 mL
C

81 mL
D

None of these

Solution

$\frac{p_{1} V_{1}}{n_{1} T_{1}} = \frac{p_{2} V_{2}}{n_{2} T_{2}} \frac{p_{1} \times 30}{\frac{w_{1}}{m_{1}} \times T_{1}} = \frac{\frac{p_{1}}{9} \times V_{2}}{\frac{w_{1}}{2 m_{1}} \times 3 T_{1}} V_{2} = \frac{30 \times 9 \times 3}{2} = 405 mL$

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