The volume of gas A is twice than that of gas B. The compressibility factor of gas A is thrice than that of gas B at same temperature. The pressures of the gases for equal number of moles are :

Question

The volume of gas A is twice than that of gas B. The compressibility factor of gas A is thrice than that of gas B at same temperature. The pressures of the gases for equal number of moles are : (A)  2PA = 3PB  (B) PA = 3PB  (C) PA = 2PB  (D) 3PA = 2PB

Tardigrade Admin · Accepted Answer

VA =2VB ZA = 3ZB (PAVA/nARTA) = (3.PB.VB/nB .RTB) 2PA = 3PB

Q. The volume of gas $A$ is twice than that of gas $B$ . The compressibility factor of gas $A$ is thrice than that of gas $B$ at same temperature. The pressures of the gases for equal number of moles are :

$2 P_{A} = 3 P_{B}$

$P_{A} = 3 P_{B}$

$P_{A} = 2 P_{B}$

$3 P_{A} = 2 P_{B}$

$V_{A} = 2 V_{B}$
$Z_{A} = 3 Z_{B}$
$\frac{P _{A} V _{A}}{n _{A} R T _{A}} = \frac{3. P _{B} . V _{B}}{n _{B} . R T _{B}}$
$2 P_{A} = 3 P_{B}$

Q. The volume of gas A is twice than that of gas B. The compressibility factor of gas A is thrice than that of gas B at same temperature. The pressures of the gases for equal number of moles are :

2PA​=3PB​

PA​=3PB​

PA​=2PB​

3PA​=2PB​