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Q.

Which one of the following equations does not correctly represent the first
law of thermodynamics for the given process involving an ideal gas ?
( Assume non expansion work is zero )

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a

adiabatic process: $△ U = - w$

b

isothermal process : $q = - w$

c

isochoric process : $△ U = q$

d

cyclic process : $q = - w$

answer is B.

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Detailed Solution

From first law of thermodynamics, $△ U = q + w$
For adiabatic process, $q = 0 \Rightarrow △ U = w$
For isothermal process , $△ U = 0 \Rightarrow q = - w$
For cyclic process, $△ U = 0 \Rightarrow q = - w$
For isochoric process, $w = 0 \Rightarrow △ U = q$

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Which one of the following equations does not correctly represent the first law of thermodynamics for the given process involving an ideal gas ? ( Assume non expansion work is zero )