NCERT Class XI Chemistry States of Matter Solutions

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Question : 18
Total: 23
2.9 g of a gas at 95°C occupied the same volume as 0.184 g of dihydrogen at 17°C, at the same pressure. What is the molar mass of the gas?
Solution:  
Let molar mass of gas = M
Moles of gas(n); =
2.9
M
, T = 273 + 95 = 368 K ; Since PV = nRT
∴ V =
nRT
P
=
2.9×R×368
M×P
... (1)
Moles of dihydrogen =
0.184
2
= 0.092 ; T = 273 + 17 = 290 K
∴ Volume of dihydrogen =
0.092×R×290
P
... (2)
Since the volume is same,
2.9×R×368
M×P
=
0.092×R×290
P

∴ M =
2.9×368
0.092×290
=
1067.9
26.68
= 40
∴ Thus, molar mass of gas = 40
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