Can you explain the answer of this question below:A carnot engine is t...
Heat extracted from source Q1= 700 calHeat rejected to the sink Q2= 500 calTemperature of source T1= 150 +273= 423KTemperature of sink T2 to be found: Q2/Q1 = T2/T1 So, T2 = (Q2/Q1) x T1 = (500 x 423)/700 = 302.02 K = 29.022 degree C.
Can you explain the answer of this question below:A carnot engine is t...
Carnot engine is a theoretical engine that operates on the reversible Carnot cycle. It consists of two isothermal processes (heat addition and heat rejection) and two adiabatic processes (reversible expansion and reversible compression). The efficiency of the Carnot engine is given by the formula:
Efficiency = (T1 - T2) / T1
Where T1 is the temperature of the source and T2 is the temperature of the sink. In this question, we are given the heat taken from the source and the heat rejected to the sink in each cycle, and we need to find the temperature of the sink.
1. Understanding the given information:
- Heat taken from the source = 700 cal
- Heat rejected to the sink = 500 cal
- Temperature of the source (T1) = 150°C
2. Calculating the efficiency of the Carnot engine:
Efficiency = (T1 - T2) / T1
Rearranging the equation, we get:
T2 = T1 - (Efficiency * T1)
3. Calculating the efficiency of the Carnot engine:
To calculate the efficiency, we need to know the temperatures of both the source and the sink. We are given the temperature of the source (T1), but we need to find the temperature of the sink (T2).
Using the given values, we can calculate the efficiency as follows:
Efficiency = (700 - 500) / 700 = 0.2857
4. Calculating the temperature of the sink:
Using the efficiency value, we can calculate the temperature of the sink as follows:
T2 = 150 - (0.2857 * 150) = 150 - 42.857 = 107.142°C
5. Conclusion:
The temperature of the sink in this Carnot engine is 107.142°C. Therefore, the correct answer is option A: 29.02°C.