Question

В идеальном тепловом двигателе абсолютная температура холодильника в 2,5 раза ниже температуры нагревателя.Как изменится КПД двигателя,если температуру холодильника уменьшить 2 раза? А.Уменьшится в 2 раза Б.Увеличится в 2 раза В.Увеличится на 5% Г.Увеличится на 20%

Answer 1

Ответ А.
у меня получилось так:

Answer 2

Understanding the Scenario

In an ideal heat engine, the absolute temperature of the refrigerator is 2.5 times lower than the temperature of the heater. We need to determine how the efficiency of the engine will change if the temperature of the refrigerator is reduced by 2 times.

Calculating the Change in Efficiency

To calculate the change in efficiency, we can use the Carnot efficiency formula:

Carnot efficiency (η) = 1 - (Tc/Th)

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

Given that the absolute temperature of the refrigerator is initially 2.5 times lower than the temperature of the heater, we can represent the initial temperatures as follows: - Let Th_initial be the initial temperature of the heater - Let Tc_initial be the initial temperature of the refrigerator, which is 2.5 times lower than Th_initial

If the temperature of the refrigerator is reduced by 2 times, the new temperature of the refrigerator (Tc_new) will be 0.5 times the initial temperature of the refrigerator (Tc_initial).

Calculating the Change in Efficiency

Now, let's calculate the change in efficiency using the Carnot efficiency formula for both the initial and new temperatures of the refrigerator.

Initial Carnot efficiency (η_initial): η_initial = 1 - (Tc_initial/Th_initial)

New Carnot efficiency (η_new): η_new = 1 - (Tc_new/Th_initial)

Answer

The change in efficiency can be calculated by comparing the initial and new efficiencies using the Carnot efficiency formula. Let's calculate the change in efficiency based on the given information.