100 mol of an ideal gas is heated from 10° to 20°C keeping its (i) volume constant (ii) pressure constant.Let ΔUa and ΔUb denote the change in the internal energy of the gas due to process (i) and (ii),respectively. Then, which of the following shall be true?

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ΔUa = ΔUb

ΔUa > ΔUb

ΔUa < ΔUb

ΔUa = ΔUb = 0

answer is B.

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Detailed Solution

(i) Volume is constant, i.e. ΔV=0⇒ ΔUa=Q−pΔV⇒ ΔUa=Q(ii) Pressure is constant, i.e. Δp=0⇒ ΔUb=Q−pΔV∴ ΔUa>ΔUb

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