Chapter 20, Problem 30AP

(a)

To determine

The reason why the negative sign in this expression $k=-\frac{1}{V}\frac{dV}{dP}$ ensures $k$ is always positive.

(b)

To determine

To show: The compressibility is given by $k_1=\frac{1}{P}$, if an ideal gas is compressed isothermally.

(c)

To determine

To show: The compressibility is given by $k_1=\frac{1}{\gamma P}$, if an ideal gas is compressed adiabatically.

(d)

To determine

The value of $k_1$ for a monatomic ideal gas at a pressure of $2.00\text{atm}$.

(e)

To determine

To show:The value of $k_2$ for a monatomic ideal gas at a pressure of $2.00\text{atm}$.