Question

When \(70\,\text{J}\) of heat is supplied to a rigid diatomic gas at a constant pressure \(P\), the change in the volume of the gas is \(\Delta V\). If the same amount of heat is supplied to a monoatomic gas at the same constant pressure \(P\), then the change in the volume of the monoatomic gas is

• A. \(1.4\,\Delta V\)
• B. \(0.7\,\Delta V\)
• C. \(2.1\,\Delta V\)
• D. \(2.8\,\Delta V\)

Hint:

At constant pressure, \[ \boxed{\Delta V=\frac{QR}{PC_P}.} \] For ideal gases, \[ \boxed{ C_P=\frac{5R}{2}\ \text{(monoatomic)}, \qquad C_P=\frac{7R}{2}\ \text{(diatomic)}. } \]

Answer 1

The Correct Option is A