1. Tardigrade
  2. Question
  3. Physics
  4. When gas is given heat Δ Q , a part of heat energy is utilized into work done W by gas and the remaining part is utilized to change in internal energy. An ideal diatomic gas is heated at constant pressure, the ratio of the internal energy change to heat energy supplied, is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. When gas is given heat $\Delta Q$ , a part of heat energy is utilized into work done $W$ by gas and the remaining part is utilized to change in internal energy. An ideal diatomic gas is heated at constant pressure, the ratio of the internal energy change to heat energy supplied, is

NTA AbhyasNTA Abhyas 2022

Solution:

Fraction of supplied energy which increases the internal energy is given by
$f=\frac{\Delta U}{\left(\Delta Q\right)_{p}}=\frac{\mu C_{V} \Delta T}{\mu C_{P} \Delta T}=\frac{1}{\gamma }$
[here, according to definition of sp. Heat at constant pressure $\left(\Delta Q\right)_{p = c}=nC_{P}\Delta T$ ]
For diatomic gas $\gamma =\frac{7}{5}$
$\Rightarrow \, \, f=\frac{5}{7}$