Question

Температура нагревателя идеальной тепловой машины 455К, КПД машины 40%. Определите температуру холодильника.

Answer 1

Η=(T₁-T₂)/T₁
ηT₁=T₁-T₂
T₂=T₁-ηT₂=T₁(1-η+
T₂=455(1-0,4)=273К

Answer 2

Calculating the Temperature of the Refrigerator

To calculate the temperature of the refrigerator, we can use the formula for the efficiency of a Carnot heat engine:

Efficiency (η) = 1 - (Tc/Th)

Where: - η is the efficiency of the heat engine - Tc is the temperature of the cold reservoir (refrigerator) - Th is the temperature of the hot reservoir (heater)

Given: - Th = 455 K (temperature of the heater) - Efficiency (η) = 40%

We can rearrange the formula to solve for Tc:

Tc = Th - (η * Th)

Calculation

Substitute the given values into the formula: Tc = 455 K - (0.40 * 455 K)

Tc = 455 K - 182 K

Tc = 273 K

So, the temperature of the refrigerator (cold reservoir) is 273 K.