Which of the following statement is correct regarding $p-V$ graph? 1. Slope of $p-V$ graph in an isothermal process is $-\frac{p}{V}$. 2. Slope of $p-V$ graph in an adiabatic process is $-\frac{p}{V}$. 3. Slope of $p-V$ graph in an isochoric process is $-\frac{\gamma p}{V}$. 4. Slope…

Question

Which of the following statement is correct regarding $p-V$ graph? 1. Slope of $p-V$ graph in an isothermal process is $-\frac{p}{V}$. 2. Slope of $p-V$ graph in an adiabatic process is $-\frac{p}{V}$. 3. Slope of $p-V$ graph in an isochoric process is $-\frac{\gamma p}{V}$. 4. Slope of $p-V$ graph in an isobaric process is zero.

Aicharya · Accepted Answer

(i) and (iv) options are correct. (i) Slope of $p-V$ graph in an isothermal process is $-\frac{p}{V}$ this is correct.

For isothermal process, slope of $p-V^{\prime}$ curve $\frac{d p}{d V}=-\frac{p}{V}$ (ii) Slope of $p-V$ group in an adiabatic process is $-\frac{p}{V}$, which is wrong.

Because slope of $p-V$ graph in an adiabatic process is $-\frac{\gamma p}{V}$. (iii) Slope of $p$ - $V$ graph in an isochoric process is $-\frac{\gamma p}{V}$ this option is wrong. Because slope of $p-V$ graph for isochoric process is $\frac{d p}{-\frac{d V}{V}}-\frac{d V}{V}=\frac{d p}{0}=\infty$

(d) Slope of $p-V$ graph in an isobaric process is zero. This option is correct.

$p-V$ curve is a straight line parallel to volume axis, slope of $p$ - $V$ curve for an isobaric process $\frac{d p}{d V}=0.$

Which of the following statement is correct regarding \(p-V\) graph? 1. Slope of \(p-V\) graph in an…

Solution