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A closed vessel contains 0.1 mole of a ...

A closed vessel contains 0.1 mole of a monatomic ideal gas at 200k . If 0.05 mole of the same gas at 400 K is added to it , the final equilibrium temperature (in K ) of the gas in the vessel will be close to ...............

Text Solution

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The correct Answer is:
`266.67`
As work done on gas and heat supplied to the gas are zero,
Total internal energy of gases remain same
`u_1 + u_2 = u_1.+ u_2.`
` (0.1) C_v (200)+(0.05) C_v (400) = (0.15)C_vT`
`T=800/2 K = 266.67K`.
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