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A container of volume 2 L is separated into equal compartments. In one compartment, one mole of an ideal monoatomic gas is filled at 1 bar pressure and the other compartment is completely evacuated. A pinhole is made in the separator so gas expands to occupy full 2 L nd heat is supplied to gas so that finally pressure of gas equals 1 bar. Then :

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$Δ E = Δ H = 150 J$

$Δ H = 250 J$

$Δ E = 100 J$

$Δ E = Δ H = 0$

answer is B.

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Detailed Solution

initial volume = 1 lit

pressure - 1 bar
mole = 1 mole

$\begin{array}{l} R = 0.08 s lit bal moT K^{- 1} \\ ∴ T = \frac{P V}{n R} = \frac{1 \times 1}{1 \times 0.0 PB} = 12 k \end{array}$

final volume = 2 lit

$\begin{array}{l} P = 1 b a_{2} \\ mole = 1 \\ T_{f}^{R} = 24 k (\dots v \infty T cohen \\ UT = T_{f} - T_{i} = 12 \end{array}$

$\begin{array}{l} Δ H = n C_{p} Δ T \\ = 1 \times \frac{5}{2} \times R \times 12 \\ = 2.5 \times 8.314 \times 12 \\ = 250 J \end{array}$

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