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It's the first law of thermodynamics that is applicable when a trre is inflated.If both tyre and pump is considered a part of system than no change in work done. But if a trye with control volume is considered and tyre is inlated , then it's an isolated system with adabatic compressionj taking place. AS we know Q= U +PV. AS process is adiabatic Q is 0 . Increse in pressure or volume or both is accompanied by increase in internal energy of system. At the same time PV(Change ) is the work done by the person inflating the gas.

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