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One mole of a gas is enclosed in a cylin...

One mole of a gas is enclosed in a cylinde in a cyclinder and occupies a volume of `1.5 L` at a pressure 1.5 atm. It is subjected to strong heating due to which temperature of the gas increase according to the relation `T = alpha V^(2)`, where `alpha` is a positive constant and `V` is volume of the gas.
a. Find the work done by air in increasing the volume of gas to `9 L`.
b. Draw the `P - V` diagram of the process.
c. Determine the heat supplied to the gas (assuming `gamma = 1.5)`.

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