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Question

Question: The volume of a gas at 21°C temperature and 768 mm pressure is 1 litre. If the density of the gas is...

The volume of a gas at 21°C temperature and 768 mm pressure is 1 litre. If the density of the gas is 1.2 gm/litre at NTP, then its mass will be

A

4 gm

B

4.21 gm

C

1.13 gm

D

10 gm

Answer

1.13 gm

Explanation

Solution

We have PVT=P0md0To\frac{PV}{T} = \frac{P_{0}m}{d_{0}T_{o}}

m=PVd0T0TPo=760×103×1.2×103×27376×294=1.13gm\therefore m = \frac{PVd_{0}T_{0}}{TP_{o}} = \frac{760 \times 10^{- 3} \times 1.2 \times 10^{3} \times 273}{76 \times 294} = 1.13gm