An ideal diatomic gas is heated at constant pressure. What is the fraction of total energy applied, which…
An ideal diatomic gas is heated at constant pressure. What is the fraction of total energy applied, which increases the internal energy for the gas?
$\frac{2}{5}$
$\frac{5}{7}$
$\frac{3}{7}$
$\frac{3}{5}$
Solution
The fraction of heat energy used to increase the internal energy of gas is,
$\frac{\Delta U}{\Delta \mathrm{Q}}=\frac{\mathrm{C}_{\mathrm{v}}}{\mathrm{C}_{\mathrm{P}}}=\frac{1}{\gamma}$ For diatomic gas, $\gamma=\frac{7}{5}$
$\therefore \quad \frac{\Delta U}{\Delta Q}=\frac{5}{7}$