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

Options

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

Answer

A

Explanation

According to ideal gas equation
PV = nRT or `V = (nRT)/(P)`
For an isobaric process, P = constant and `V prop T`
Therefore, V - T graph is a straight line passing through origin. Slope of this line is inversely proportional to P. In the given figure,
`("Slope")_(2) gt ("Slope")_(1) :. P_(2) lt P_(1)`