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Question

Find the change in internal energy of 60 g of Argon gas when its change in temperature is 200 K.
(Given degree of freedom of argon is 3 and its molar mass = 40 g/mole)

A
4800.3 J
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B
3741.3 J
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C
1250.4 J
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D
3500.2 J
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Solution

The correct option is B 3741.3 J
Since,
we know ΔU=f2nRdT
where ΔU= internal energy of the gas
n = number of moles of gas n=6040=1.5 mole
We know, f = degree of freedom = 3 (Given)
ΔU=32×1.5×8.314×ΔT
So, ΔU=32×1.5×8.314×200

ΔU=3741.3 J

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