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Q.

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

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a

Isothermal process: $q = - w$

b

Adiabatic process: $Δ U = - w$

c

Cyclic process: $q = - w$

d

Isochoric process: $Δ U = q$

answer is B.

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Detailed Solution

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

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