Question

On an isothermal process, there are two points $A$ and $B$ at which pressures and volumes are $(2P_o,V_o)$ and $(P_o,2V_o)$ respectively. If $A$ and $B$ are connected by a straight line, find the pressure at a POINT on this straight line at which temperature is maximum

• A. $\frac{4P_o}{3}$
• B. $\frac{5}{4}{P}_o$
• C. $\frac{3}{2}{P}_o$
• D. $\frac{7}{5}{P}_o$

Answer 1

The correct option is C $\frac{3}{2}{P}_o$

Using symmetry, the temperature will be maximum at a point where the pressure and the volume attain the same value.
Therefore, on a straight line, joining the 2 points A and B as given in the question, the temperature will be maximum at their midpoint.
Hence, the pressure will be $\frac{3P_o}{2}$ and the volume will be $\frac{3V_o}{2}$