Solving for the Temperature of the Hot Reservoir in a Carnot Cycle - советы от нейросети

Тепловая машина работает по циклу Карно и за счет каждой килокалории, полученной от нагревателя, совершает работу 1,7 кДж. Температура холодильника равна 20 °С. Какова температура нагревателя?

To solve this problem, we need to use the formula for efficiency of a Carnot cycle, which is given by η = 1 - Tc/Th, where Tc is the temperature of the cold reservoir (in this case, 20 °C) and Th is the temperature of the hot reservoir (which we need to find). Since we know the work output of the heat engine (1.7 kJ per kilocalorie), we can also use the equation Wout/Qh = η. Simplifying this, we get Th = 1.7/(1 - (20/Th)). Solving for Th, we get Th ≈ 23.4 °C. Therefore, the temperature of the hot reservoir or heater for this particular Carnot cycle is approximately 23.4 °C. Keep in mind that this is an idealized scenario without any heat losses, so the actual temperature may be slightly different.