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  4. A vessel contains 1 mole of O2 gas (molar mass 32) at a temperature T. The pressure of the gas is p. An identical vessel containing one mole of the gas (molar mass 4) at a temperature 2T has a pressure of

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Q. A vessel contains 1 mole of $O_2$ gas (molar mass 32) at a temperature $T$. The pressure of the gas is $p$. An identical vessel containing one mole of the gas (molar mass 4) at a temperature $2T$ has a pressure of

IIT JEEIIT JEE 1997Thermodynamics

Solution:

pV = nRT
or $\, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, p=\frac{nRT}{V} \, \, or \, \, p \propto \, T$
if V and n are same. Therefore, if T is doubled, pressure also
becomes two times i.e. 2p.