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The temperatures T(1) and T(2) of two he...

The temperatures `T_(1) and T(2)` of two heat reservoirs in an ideal carnot engine are `1500^(@)C and 500^(@)C`. Which of these (a) increasing `T_(1) by 100^(@)C` or (b) decreasing `T_(2) by 100^(@)C` would result in greater improvement of the efficiency of the engine?

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To solve the problem, we need to calculate the efficiency of the Carnot engine in two scenarios: (a) when we increase \( T_1 \) by \( 100^\circ C \) and (b) when we decrease \( T_2 \) by \( 100^\circ C \). The efficiency of a Carnot engine is given by the formula: \[ \eta = 1 - \frac{T_2}{T_1} \] where \( T_1 \) and \( T_2 \) are the absolute temperatures of the hot and cold reservoirs, respectively, measured in Kelvin. ...
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