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Q.

Three moles of a diatomic gas are in a closed container at an absolute temperature of T. How much heat energy is to be supplied to the system, so that two moles of the gas completely dissociate? Assume that there is no change in the temperature of the gas. (R is molar gas constant)

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a

$\frac{R T}{2}$

b

$\frac{3 R T}{2}$

c

$R T$

d

$2 R T$

answer is A.

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Detailed Solution

$U_{i} = 3 \times (5 R T / 2)$ and $U_{f} = 1 \times (5 R T / 2) +$
$4 \times (3 R T / 2) . ΔQ = ΔU, since ΔW = 0$

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