Two reversible engines A and B are arranged in series with the waste heat of engine A

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Two reversible engines A and B are arranged in series with the waste heat of engine A used to drive engine B. Engine A receives 200 MJ from a hot source at a temperature of 420oC. Engine B is in communication with a heat sink at a temperature of 4.4oC. If the work output of A is twice that of B, determine
(a) The intermediate temperature between A and B.
(b) The thermal efficiency of each engine.
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