JEE Main201912 Jan 2019Morning ShiftChemistryStates of MatterActual
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. What are the pressures of the gases for equal number of moles?
Options
- A2 P A = 3 P B
- BP A = 2 P B
- C3 P A = 2 P B
- DP A = 3 P B
Correct answer
A. 2 P A = 3 P B
Step-by-step solution
PV = ZnRT V A = 2 V B and Z A = 3 Z B P = ZnRT V P A P B = Z A V B Z B V A = 3 Z B × V B Z B × 2 V B = 3 2 2 P A = 3 P B At constant T and moles; P ∝ Z V