In the given (V-T) diagram, what is the relation between pressure `P_(1) and P_(2)` ?

Options

A. Cannot be predicted
B. `P_(2) = P_(1)`
C. `P_(2) gt P_(1)`
D. `P_(2) lt P_(1)`

Answer

D

Explanation

For an ideal gas, `PV = nRT or V = (nRT)/(P)`
slope of V -T graph `= (dV)/(dT) = (nR)/(P)`
`:.` Slope prop `1//P`
As, `theta_(2) gt theta_(1)`, so `(1)/(P_2) gt (1)/(P_1) or P_(2) lt P_(1)`.