The volume of gas A is twice that of gas B. T | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The compressibility factor $Z$ is defined as $Z = \frac{PV}{nRT}$.Rearranging for pressure,we get $P = \frac{ZnRT}{V}$.At constant temperature $T$

Vedclass · Accepted Answer

$2P_A = 3P_B$

Vedclass · Answer

(B) The compressibility factor $Z$ is defined as $Z = \frac{PV}{nRT}$.Rearranging for pressure,we get $P = \frac{ZnRT}{V}$.At constant temperature $T$ and equal number of moles $n$,the pressure $P$ is directly proportional to $\frac{Z}{V}$,i.e.,$P \propto \frac{Z}{V}$.Given $V_A = 2V_B$ and $Z_A = 3Z_B$.Taking the ratio of pressures:$\frac{P_A}{P_B} = \frac{Z_A}{Z_B} 	imes \frac{V_B}{V_A} = \left( \frac{3}{1} ight) 	imes \left( \frac{1}{2} ight) = \frac{3}{2}$.Therefore,$2P_A = 3P_B$.

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

Similar Questions

Explain the conditions under which a real gas exhibits ideal gas behaviour.

Under which conditions do real gases deviate most from ideal gas behavior?

When $He$ gas is expanded into a vacuum,a heating effect is observed. What is the reason for this?

At relatively high pressure,van der Waals' equation becomes

Under which one of the following conditions do real gases approach the ideal gas behaviour?

Vedclass Test Series

Exam Paper Generator

Online Exam Module