The maximum efficiency of two continuous processes

• Peter Jones
In summary, the efficiency of a system can reach its maximum when it follows two continuous Carnot processes, with the efficiency calculated using the equation H= 1-(W1+W2)/(Q1+Q2). The conditions for this efficiency include W1/Q1>=T2/T1 and W2/Q2>=T3/T2. Based on these conditions, the efficiency can be simplified to H<= 1- (Q1.T2/T1+Q2.T3/T2)/(Q1+Q2). However, the conversation does not provide a final result and instead poses questions about the heat Q2 and Q3 in terms of Q1.
Peter Jones
Homework Statement
A combination of steam mercury turbines, includes two stages. The first stage runs on saturated mercury vapour at 876°F and emits heat to heat a boiler at 460°F. The vapour in this boiler is used to run a second stage of the turbine, and emits heat to a steam condenser chamber which is at 100°F. Find the maximum efficiency of this combination
Relevant Equations
Carnot efficiency H=1-T2/T1
I think it reaches its maximum efficiency when it is two continuous Carnot process. Its efficiency then will be H= 1-(W1+W2)/(Q1+Q2), with W1/Q1>=T2/T1 and W2/Q2>=T3/T2 therefore
H<= 1- (Q1.T2/T1+Q2.T3/T2)/(Q1+Q2), that is as far as i can go, have not got a result yet

Let Q1 be the heat received by the mercury at 876 F. In terms of Q1, what is the heat Q2 emitted by the mercury to the steam boiler at 460 F? In terms of Q2, what is the heat Q3 condensed in the condenser at 100 F? In terms of Q1, what is the heat Q3 condensed in the condenser at 100 F?

1. What is the maximum efficiency of two continuous processes?

The maximum efficiency of two continuous processes is the highest achievable efficiency when two processes are combined. It is a measure of how well the combined processes can convert input energy into useful output energy.

2. How is the maximum efficiency of two continuous processes calculated?

The maximum efficiency of two continuous processes is calculated by multiplying the individual efficiencies of each process. For example, if process A has an efficiency of 80% and process B has an efficiency of 70%, the maximum efficiency of the two combined processes would be 56% (0.8 x 0.7 = 0.56).

3. What factors affect the maximum efficiency of two continuous processes?

The maximum efficiency of two continuous processes can be affected by a variety of factors, including the individual efficiencies of each process, the design and operation of the processes, and any energy losses or inefficiencies in the system.

4. How can the maximum efficiency of two continuous processes be improved?

To improve the maximum efficiency of two continuous processes, it is important to optimize the individual efficiencies of each process and minimize any energy losses or inefficiencies in the system. This can be achieved through careful design, regular maintenance, and the use of advanced technologies.

5. Why is it important to consider the maximum efficiency of two continuous processes?

The maximum efficiency of two continuous processes is important because it can help determine the overall efficiency and performance of a system. By understanding and improving this efficiency, scientists and engineers can reduce energy consumption, increase productivity, and reduce costs in various industries.

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