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A sample of an ideal gas is taken throug...

A sample of an ideal gas is taken through the cyclic process `abca` . It absorbs `50 J` of heat during the part `ab`, no heat during `bc` and rejects `70 J` of heat during `ca`. `40 J` of work is done on the gas during the part `bc`.
(a) Find the internal energy of the gas at `b` and `c` if it is `1500 J` at `a`.
(b) Calculate the work done by the gas during the part `ca`.

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