Question 31: Thermodynamics & KTG

Question

A vessel contains one 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 He gas (molar mass 4) at a temperature 2T has a pressure of

Accepted Answer

From gas equation,
$$pV = nRT \Rightarrow p = {{nRT} \over V}$$
Pressure of one mole of O
2
gas,
$${(p)_{{O_2}}} = {{1 	imes RT} \over V}$$ ..... (i)
Pressure of one mole of He gas,
$${(p)_{He}} = {{1 	imes R(2T)} \over V}$$ ...... (ii)
Dividing Eq. (ii) by Eq. (i), we get
$$	herefore$$ $${{{{(p)}_{He}}} \over {{{(p)}_{{O_2}}}}} = 2 \Rightarrow {(p)_{He}} = 2{(p)_{{O_2}}} = 2p$$

Answer

$${p \over 8}$$

Answer

p

Answer

2p

Answer

8p

Thermodynamics & KTG

A vessel contains one 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 He gas (molar mass 4) at a temperature 2T has a pressure of

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