1 mole of ideal gas is allowed to expand reversibly and adiabatically from a temperature of . The work done is . The final temperature of the gas is K (Nearest integer).

[Given: ]

Question

1 mole of ideal gas is allowed to expand reversibly and adiabatically from a temperature of . The work done is . The final temperature of the gas is  K (Nearest integer).

[Given: ]

Canvas Classes · Accepted Answer

Strategy:
 Use the First Law of Thermodynamics for an adiabatic process and the relationship between internal energy change and temperature for an ideal gas.

Step 1: Relate Work to 
Adiabatic: .
Given: Work done by the gas .
According to sign convention, work done on the gas () .
.

Step 2: Calculate Final Temperature ()
For  ():

(Note: )

.

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