Question

Assertion :For an ideal gas ${\left(\frac{\partial H}{\partial P}\right)}_T=0$ Reason: Enthalpy of an ideal gas is a function of temperature only.

Choose the correct options:

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

Assume 1 mole of an ideal gas.

The ideal gas is defined as a gas which obeys the following equation of state:

PV = RT

The internal energy of an ideal gas is a function of temperature only. That is,

u = u(T)

Using the definition of enthalpy and the equation of state of an ideal gas to yield,

h = u + P v = u + RT

Since R is a constant and u = u(T), it follows that the enthalpy of an ideal gas is also a function of temperature only.

h = h(T)

So, $(\partial H/\partial P{)}_T=0$ as derivative will be zero.

Hence, option A is correct