Question 602: Thermodynamics & KTG

Question

A sample of gas with $$\gamma$$ = 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 workdone by the gas in the process = _____________ J.

Accepted Answer

v = 1.5
p
1
v
1
v
= p
2
v
2
v
(200) (1200)
1.5
= P
2
(300)
1.5
P
2
= 200 [4]
3/2
= 1600 kPa
$$\left| {W.D.} \right| = {{{p_2}{v_2} - {p_1}{v_1}} \over {v - 1}} = \left( {{{480 - 240} \over {0.5}}} \right) = 480$$ J

Thermodynamics & KTG

A sample of gas with $\gamma$ = 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 workdone by the gas in the process = _____________ J.

Choose the correct answer: