In the reversible adiabatic expansion of an ideal monoatomic gas, the final volume is 8 times the in

Question

In the reversible adiabatic expansion of an ideal monoatomic gas, the final volume is 8 times the initial volume. The ratio of final temperature to initial temperature is

Accepted Answer

$T_{1}V_{1}^{\gamma - 1} = T_{2}V_{2}^{\gamma - 1} \Rightarrow \frac{T_{2}}{T_{1}} = \left( \frac{V_{1}}{V_{2}} \right)^{\gamma - 1} = \left( \frac{1}{8} \right)^{5/3 - 1} = \frac{1}{4}$

Question

Options

Solution

More Thermodynamics Questions