A sample of gas with γ = 1 . 5 is taken through an adiabatic process in which the volume is compressed from 1200 cm3 to 300 cm3. If the initial pressure is 200 kPa. The absolute value of the work done by the gas in the process =_________J.

Adiabatic equation : P 1 V γ = P 2 V γ ⇒ ( 2 0 0 ) ( 1 2 0 0 ) γ = P ( 3 0 0 ) γ ⇒ P = ( 2 0 0 ) ( 4 ) 3 2 = 1 6 0 0 K P a W = P 1 V 1 − P 2 V 2 γ − 1 = 2 4 0 − 4 8 0 1 . 5 − 1 = − 4 8 0 J

A sample of gas with $γ = 1.5$ is taken through an adiabatic process in which the volume is compressed from 1200 cm³ to 300 cm³. If the initial pressure is 200 kPa. The absolute value of the work done by the gas in the process =_________J.

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Vishal Baghel | Contributor-Level 10

6 months ago

Adiabatic equation : $P_{1} V^{γ} = P_{2} V^{γ} \Rightarrow (200) {(1200)}^{γ} = P {(300)}^{γ}$

$\Rightarrow P = (200) {(4)}^{\frac{3}{2}} = 1600 K P a$

$W = \frac{P_{1} V_{1} - P_{2} V_{2}}{γ - 1} = \frac{240 - 480}{1.5 - 1} = - 480 J$

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Physics Thermodynamics 2025

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