Question

A Carnot engine has an efficiency of 26.7%. It operates between constant-temperature reservoirs differing in temperature by 50.4 Cº. In kelvins, what are (a) the temperature of the hot reservoir and (b) the temperature of the cold reservoir? (a) Number Units (b) Number Units

Answer 1

Given: Efficiency = 26.7 %. Carnot engine of = 50.4°C Temp. difference bw reseswin To find : @ The temperature of the hot reservoir 6 The temperature of the cold reservoir Saln: Temp. difference b/w reservoirs - 50.4 °C 50.4 K same ( Since temp difference in. At is scales of celsing and Kelvin) On both Used Formula: I- Te TH Where efficiency n = T= Temperature of cold reservoir TH= Temperature of hot reservoir

Temp difference TH-To= 50.4k - T = TH-50.4 n = 1 - Tc 0.267 TH 1 - (TH - 50.4) TH + 50.4 0.267 = I - TH TH 0.267 = TH TH 50.4 TH - 188.76 K Te =TH -50.4 188.76 - 50.4 Te 138.36 k Therefore, @ Temperature of hot reservoir 6 Temperature cold reservoir 188.76K 138.36 k