The diagram shows what happens to a system undergoing an adiabatic process. Whic

Question

The diagram shows what happens to a system undergoing an adiabatic process.

Which labels best complete the diagram?

a. X: Work is done by the system and temperature decreases.
Y: Work is done to the system and temperature increases.

b. X: Work is done to the system and temperature increases.
Y: Work is done by the system and temperature decreases.

c. X: Work is done by the system and temperature increases.
Y: Work is done to the system and temperature decreases.

d. X: Work is done to the system and temperature decreases.
Y: Work is done by the system and temperature increases.

Explanation / Answer

In an adiabatic process, heat exchange between system and surrounding is zero.
hence first law of thermodynamics, becomes
0 = delta U + W
W = - delta U
When there is increase in volume of system, work is done by system or W is +ve,
With decrease in volume work is done to the system or W is -ve
Hence In case of X, work is done by the system and in Y work is done to the system.

When W is +ve ( done by the system), delta U is -ve hence , there is decrease in tempreture ( internal energy is propotional to tempreture)
When W is -ve ( done to the system), delta U becomes +ve and there is increase in tempreture.

Hence option a is correct

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