An ideal gas undergoes isothermal compression from to against a constant external pressure of . Heat released = & is used to increase the pressure of 1 mol Al. Temperature rise of Al:

Question

An ideal gas undergoes isothermal compression from  to  against a constant external pressure of . Heat released =  & is used to increase the pressure of 1 mol Al. Temperature rise of Al:

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Strategy:
 Calculate total heat released from the isothermal compression of an ideal gas (), and then use that energy to find the temperature change () of the metal block.

Step 1: Calculate work done on the gas

.

Step 2: Find heat absorbed by Aluminum ()
For isothermal ideal gas, .
The surroundings () absorb this heat: .

Step 3: Calculate  for

.

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