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Algebra of Limits

When 1 mol ga...

Question

When 1 mol gas is heated at constant volume, temperature is raised from 298 to 308 K. Heat supplied to the gas is 500 J. Then which statement is correct:

A

q = W = 500 J, Δ U = 0

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B

q = Δ U = 500 J, W = 0

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C

q = W = - 500 J, Δ U = 0

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D

Δ U = 0, q = W = 500 J

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Solution

The correct option is A $q = Δ U = 500 J, W = 0$
At constant volume $W_{P V} = 0$
$= Δ U = q$ first law
$q = Δ U = 500 J, W = 0$

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