Question

Совершая цикл Карно , газ отдал холодильнику 0,25 теплоты, полученной от нагревателя . Определить температуру холодильника , если температура нагревателя 400К

Answer 1

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Answer 2

Calculation of the Refrigerator Temperature in a Carnot Cycle

To determine the temperature of the refrigerator in a Carnot cycle, we can use the formula for the efficiency of a Carnot cycle:

Efficiency = 1 - (Tc/Th)

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

In this case, the temperature of the heater (nagrevatel) is given as 400K. We need to find the temperature of the refrigerator (holodilnik).

Let's substitute the given values into the formula:

Efficiency = 1 - (Tc/400)

We are also given that the refrigerator (holodilnik) receives 0.25 of the heat (teplo) obtained from the heater (nagrevatel).

Let's express this relationship mathematically:

Qc/Qh = 0.25

Where: - Qc is the heat received by the refrigerator - Qh is the heat obtained from the heater

Since the Carnot cycle is a reversible cycle, the heat transfer is proportional to the temperature difference:

Qc/Qh = Tc/Th

Substituting the given values:

Tc/400 = 0.25

Now, let's solve for Tc:

Tc = 0.25 * 400

Tc = 100K

Therefore, the temperature of the refrigerator (holodilnik) is 100K.

Please note that the Carnot cycle is an idealized model and assumes perfect efficiency, which may not be achievable in real-world systems.