Question

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 gas (molar mass $4$) at a temperature $2$T has a pressure of.

• A. $P/8$
• B. P
• C. $2P$
• D. $8P$

Answer 1

The correct option is C $2P$

Given :A vessel contains 11 mole of O2O2 gas (molar mass 3232) at a temperature T. The pressure of the gas is P. An identical vessel containing one mole of gas (molar mass 44) at a temperature 22T has a pressure of.

Solution :

Since bothe are ideal gas both will follow PV=nRT and n=1 for both

Case 1(Vessel containing $O_2$)

$PV=RT$ eq-1

Case 2(Vessel containing unknown gas)

$P^{\prime }V=R\left(2T\right)$ eq-2

Solving eq1 and eq2 we get

$\frac{PV}{P^{\prime }V}=\frac{RT}{R2T}$

P'=2P

The Correct Opt=C