Question

One mole of ideal gas undergoes a linear process as shown in figure below. Its temperature expressed as a function of volume V is.

• A. $\frac{P_0{V}_0}{R}$
• B. $\frac{P_{0}V}{R}$
• C. $\frac{P_{0}V}{R}\left(1-\frac{V}{V_0}\right)$
• D. $\frac{P_{0}V}{R}\left(1-{\left(\frac{V}{V_0}\right)}^2\right)$

Answer 1

The correct option is C

$\frac{P_{0}V}{R}\left(1-\frac{V}{V_0}\right)$

$P=\frac{-P_0}{V_0}V+P_0\dots \dots \dots \left(1\right)$

$\&$

PV=nRT $\dots \dots \dots \left(2\right)$

T= $\frac{P_{0}V}{R}[1-\frac{V}{V_0}]$