A monatomic ideal gas initially at a pressure of $1 \times 10 ^ { 6 }$ Pa undergoes an adiabatic expansion. After the expansion, the volume of the gas has doubled. The new pressure of the gas is

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For a monatomic ideal gas undergoing adiabatic expansion, $ P V^{\gamma} = \text{constant} $, where $ \gamma = \frac{5}{3} $. If the volume doubles, the pressure is reduced by a factor of $ 2^{\gamma} $, which is approximately 3.1. Thus, the new pressure is $ 1 \times 10^6 \, \text{Pa} / 3.1 \approx 3.1 \times 10^5 \, \text{Pa} $.

A Monatomic Ideal Gas Initially at a Pressure Of 1×1061 \times 10 ^ { 6 }1×106

A Monatomic Ideal Gas Initially at a Pressure Of $1 \times 10 ^ { 6 }$