How to find the temperature of the cold reservoir?

• PhysicsstudentNOR
In summary, the conversation discusses the efficiencies and temperatures of two Carnot engines, A and B. Both engines use the same hot reservoir with a temperature of 650 K and receive 1200 J of heat. The efficiency of engine A is 0.60, while engine B has an efficiency of 0.80. The equation used to find the temperature of the cold reservoir is e(carnot)=1-Tc/Th. After solving for Tc, the correct equation is Tc = Th - e*Th.
PhysicsstudentNOR

Homework Statement

Carnot engine A has an efficiency of 0.60, and Carnot engine B has an efficiency of 0.80. Both engines utilize the same hot reservoir, which has a temperature of 650 K and delivers 1200 J of heat to each
engine. Find the magnitude of the work produced by each engine and the temperatures of the cold reservoirs that they use.

Homework Equations

The equation I used: e(carnot)=1-Tc/Th

The Attempt at a Solution

Tc=1-e(carnot)*Th
Tc= 1-0,60*650
Tc= -389 K

PhysicsstudentNOR said:
The equation I used: e(carnot)=1-Tc/Th

The Attempt at a Solution

Tc=1-e(carnot)*Th
You didn't isolate Tc correctly.

DrClaude said:
You didn't isolate Tc correctly.

What's the right way to do it?

The equation
$$e = 1 - \frac{T_c}{T_h}$$
is correct, but that doesn't mean that
$$T_c = 1 - e T_h$$
Start by moving the 1 to the same side as ##e##.

DrClaude said:
The equation
$$e = 1 - \frac{T_c}{T_h}$$
is correct, but that doesn't mean that
$$T_c = 1 - e T_h$$
Start by moving the 1 to the same side as ##e##.
Okey, tnx

1. How do you measure the temperature of a cold reservoir?

The temperature of a cold reservoir can be measured using a thermometer. The thermometer should be placed in direct contact with the cold reservoir for an accurate reading.

2. What is the most accurate way to find the temperature of a cold reservoir?

The most accurate way to find the temperature of a cold reservoir is to use a digital thermometer. Digital thermometers provide more precise readings compared to traditional thermometers.

3. Is it important to know the temperature of a cold reservoir?

Yes, knowing the temperature of a cold reservoir is important for many scientific experiments and processes. It can also help in understanding the behavior and properties of different materials in relation to temperature.

4. Can the temperature of a cold reservoir change over time?

Yes, the temperature of a cold reservoir can change over time due to various factors such as external influences, heat transfer, and chemical reactions.

5. Are there different methods to find the temperature of a cold reservoir?

Yes, there are different methods to find the temperature of a cold reservoir such as using a thermometer, infrared camera, or a thermocouple. The method used depends on the specific needs and requirements of the experiment or process.

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