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JEE PYQ: States Of Matter Question 24

Question 24 - 2019 (12 Jan Shift 2)

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

(1) $3P_A = 2P_B$ (2) $2P_A = 3P_B$ (3) $P_A = 3P_B$ (4) $P_A = 2P_B$

Show Answer

Answer: (2) $2P_A = 3P_B$

Solution

$Z = \frac{PV}{nRT}$; $\frac{Z_A}{Z_B} = \frac{P_A V_A}{P_B V_B}$; $3 = \frac{P_A \times 2}{P_B}$; $2P_A = 3P_B$.


Learning Progress: Step 24 of 24 in this series