Question

Температура нагреватель тепловой машины, работающий по циклу Карно 427 °С, холодильника 227°С, причем холодильник этой тепловой машины служит нагревателем другой тепловой машины. Определить отношение кпд второй машины к кпд первые машины, если разность температур нагревателя и холодильника обеих машин одинакова.

Answer 1

Первая: кпд1=T1-T2/T1=700-500/700=0,286
Вторая: T1=500 T1-T2=200
кпд2=200/500=0,4
кпд1/кпд2=0,4/0,286=1,4

Answer 2

Calculation of the Efficiency Ratio of the Second Machine to the Efficiency Ratio of the First Machine

To determine the efficiency ratio of the second machine to the efficiency ratio of the first machine, we need to consider the temperatures of the heater and the refrigerator for both machines.

Given: - Temperature of the heater of the first machine (T1) = 427 °C - Temperature of the refrigerator of the first machine (T2) = 227 °C - Temperature difference between the heater and the refrigerator of both machines is the same

To calculate the efficiency ratio, we can use the formula:

Efficiency = 1 - (T2 / T1)

Let's calculate the efficiency ratio for the first machine:

Efficiency of the first machine = 1 - (227 / 427)

Now, let's assume the temperature difference between the heater and the refrigerator of both machines is ΔT.

For the second machine, the temperature of the heater (T1') will be the same as the temperature of the refrigerator (T2) of the first machine, which is 227 °C. The temperature of the refrigerator (T2') of the second machine will be the same as the temperature of the heater (T1) of the first machine, which is 427 °C.

Using the same formula, we can calculate the efficiency ratio for the second machine:

Efficiency of the second machine = 1 - (T2' / T1') = 1 - (427 / 227)

Therefore, the efficiency ratio of the second machine to the efficiency ratio of the first machine is:

Efficiency ratio of the second machine / Efficiency ratio of the first machine = (1 - (427 / 227)) / (1 - (227 / 427))

Please note that the actual numerical value of the efficiency ratio will depend on the specific temperatures provided.