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p - V diagram of same mass of a gas are ...

`p - V` diagram of same mass of a gas are drawn at two different temperatures `(T_1)` and `(T_2)`. Explain whether `T_1 gt T_2 or T_2 gt T_1`..

Text Solution

Verified by Experts

The correct Answer is:
A, B
The ideal gas equation is
`pV = nRT or T=(pV)/(nR)`
`T prop pV` if number of moles of the gas are kept constant. Here, mass of the gas is constant, which implies that number of moles are constant, (i.e). `T prop pV`. In the given diagram, product of `P` and `V` for `(T_2)` is more than `(T_1)` at all points (keeping eighter `(p "or" V)` same for both graphs). Hence,
`T_2 gt T_1`.
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