Question
Show that isothermal bulk modulus of a gas is equal to the pressure of the gas.
Solution
Bulk modulus is given by,

Negative sign implies if pressure increases volume decreases.
For isothermal condition, equations of state is given by,
PV = constant
Now, differentiating this equation, we get

Therefore, bulk modulus of a gas is equal to the pressure of a gas is proved.

Negative sign implies if pressure increases volume decreases.
For isothermal condition, equations of state is given by,
PV = constant
Now, differentiating this equation, we get

Therefore, bulk modulus of a gas is equal to the pressure of a gas is proved.