Explain whether (i) `T_2gtT_1` (ii) `P_2gtP_1` and (iii) `V_2gtV_1` for given mass of gas.

Explanation

`P_1V_0=nRT` .(a)
`P_2V_0=nRT_2`
Dividing (b) by (a)
`(P_2)/(P_1)=(T_2)/(T_1)`
Since `P_2gtP_1`, hence `T_2gtT_1`
(b) Slope of inclined line `,(V)/(T)=tantheta=(nR)/(P)`
`theta_2gttheta_1`
`tantheta_2gttantheta_1`
`(nR)/(P_2)gt(nR)/(P_1)`
`P_1gtP_2`
(c) Slope of inclined line, `(P)/(T)=tantheta=(nR)/(V)`
`theta_2gttheta_1`
`tantheta_2gttantheta_1`
`(nR)/(V_2)gt(nR)/(V_1)`
`V_1gtV_2`