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A spherical container made of non conduc...

A spherical container made of non conducting wall has a small orifice in it. Initially air is filled in it at atmospheric pressure `(P_(0))` and atmospheric temperature `(T_(0))`. Using a small heater, heat is slowly supplied to the air inside the container at a constant rate of H J/s. Assuming air to be an ideal diatomic gas find its temperature as a function of time inside the container.

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The correct Answer is:
`T=T_(0)e^((2Ht)/(7n_(0)T_(0)R))`
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