In an ideal heat engine with an efficiency of 25%, the gas received 20 kJ of heat from the heaters.

In an ideal heat engine with an efficiency of 25%, the gas received 20 kJ of heat from the heaters. What is the temperature of the heater if the temperature of the refrigerator is 27 ° C?

The efficiency of a heat engine is calculated by the formula:
η = (1-T1 / T2) * 100%, where T1 is the refrigerator temperature, T2 is the heater temperature.
T1 / T2 = 1 + η / 100
T2 = T1 / (1 + η / 100)
Let us express the temperature of the refrigerator in Kelvin: 27C = 300K.
T2 = 300 (1 + 25/100) = 300 * 1.25 = 375K.
The amount of heat received by the gas is an extra condition for the task.