A monatomic ideal gas with volume 0.170 L is rapidly compressed, so the process can be considered adiabatic. If the gas is initially at 1.01 105 Pa and 3.00 102 K and the final temperature is 476 K, find the work done by the gas on the environment, Wenv.

The initial temperature of the gas is, T1=3×102 K The final temperature of the gas is, T2=476 K The…

Answered: A monatomic ideal gas with volume 0.170…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter3: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 67P: A monatomic ideal gas undergoes a quasi-static adiabatic expansion in which its volume is doubled....

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A monatomic ideal gas with volume 0.170 L is rapidly compressed, so the process can be considered adiabatic. If the gas is initially at 1.01 10⁵ Pa and 3.00 10² K and the final temperature is 476 K, find the work done by the gas on the environment, W_env.

Expert Solution

Step 1

The initial temperature of the gas is,

$T_{1} = 3 \times 10^{2} K$

The final temperature of the gas is,

$T_{2} = 476 K$

The initial pressure of the gas is,

$P_{1} = 1.01 \times 10^{5} Pa$

The initial volume of the gas is,

$\begin{array}{rcl} V_{1} & = & 0.17 L \\ = & 0.17 \times 10^{- 3} m^{3} \end{array}$

The adiabatic index for the monoatomic ideal gas is,

$γ = \frac{5}{3}$

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