Question # The volume of gas ( A ) is twice than that of gas ( B ). The compressibility factor of gas ( mathrm{A} ) is thrice than that of gas ( mathrm{B} ) at same temperature. The pressure of the gases for equal number of moles are

# The volume of gas ( A ) is twice than that of gas ( B ). The compressibility factor of gas ( mathrm{A} ) is thrice than that of gas ( mathrm{B} ) at same temperature. The pressure of the gases for equal number of moles are

(1) ( mathrm{P}_{mathrm{A}}=2 mathrm{P}_{mathrm{B}} )

(2) ( mathrm{P}_{mathrm{A}}=3 mathrm{P}_{mathrm{B}} )

(3) ( 3 mathrm{P}_{mathrm{A}}=2 mathrm{P}_{mathrm{B}} )

(4) ( 2 mathrm{P}_{mathrm{A}}=3 mathrm{P}_{mathrm{B}} )

Solution

( Z=frac{P V_{m}}{R T} )

( therefore quad frac{Z_{A}}{Z_{B}}=frac{P_{A} V_{A}}{P_{B} V_{B}} )

( quad 3=frac{P_{A}}{P_{B}} times 2 )

( quad 2 P_{A}=3 P_{B} )