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An insulator container contains 4 moles ...

An insulator container contains `4` moles of an ideal diatomic gas at temperature T. Heat Q is supplied to this gas, due to which `2` moles of the gas are dissociated into atoms but temperature of the gas remains constant. Then

A

`Q = 2RT`

B

`Q = RT`

C

`Q = 3RT`

D

`Q = 4RT`

Text Solution

Verified by Experts

The correct Answer is:
B
`Q = Delta U =U_(f)-U_(i)` = [internal energy of 4 moles of a monoatomic gas + internal energy of 2 moles of a diatomic gas] - (internal energy of 4 moles of a diatomic gas]
`=(4xx3/2RT+2xx5/2 RT)-(4xx5/2 RT) = RT` .
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