Question 547: 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 cm
3
to 300 cm
3
. 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 cm 3 to 300 cm 3 . If the initial pressure is 200 kPa. The absolute value of the workdone by the gas in the process = _____________ J.

Integer / Numeric Answer Type