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Question

The weight of 350mL of a diatomic gas at 0oC and 2 atm pressure is 1g. The weight of one atom is:

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Solution

From Ideal gas equation- PV=nRT

Here,
P=2atm, V=350ml=0.35l
R=0.0821l atm/kmol and T=0oC=273K

Now, n=PVRT

n=2×0.350.0821×273

n=0.0312 mol

Now, the weight of 0.0312 mol of gas is 1 gram

Therefore, the weight of 1mol of gas would be=10.0312=32 g/mol

Since the gas is diatomic therefore weight of 1 mole atom=16 g/mol




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