A gas in container A is in thermal equilibrium with another gas in container B, both contain equal masses of the two gases in the respective containers. Which of the follow- ing can be true
(1) `P_(A)=P_(B),V_(A)neP_(B)V_(B)`
(2) `P_(A)V_(B)=P_(B)V_(B)`
(3) `P_(A)neP_(B),V_(A)=V_(B)`
(4) `P_(A)/(V_(A))=P_(B)/V_(B)`

Options

A. `P_AV_A=P_BV_B`
B. `P_A=P_B,V_A ne V_B`
C. `P_A ne P_B, V_A = V_B`
D. `P_A/V_A=P_B/V_B`

Answer

B, C

Explanation

Since, `n_A ne n_B" (as masses are equal)"`
`(PV)/T`= constant
If `P_A=P_B," then "V_A/V_B=n_A/n_B ne 1" i.e. "V_A ne V_B`
If `V_A=V_B," then "P_A/P_B=n_A/n_B ne 1," i.e. "P_A ne P_B`