Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

As shown in the diagram, a system undergoing a power cycle delivers a net power

ID: 2998056 • Letter: A

Question

As shown in the diagram, a system undergoing a power cycle delivers a net power output of

1 MW while receiving energy by heat transfer from steam condensing from saturated vapor to

saturated liquid at a constant pressure of 100 kPa. Energy is discharged from the cycle by heat

transfer to a nearby lake at 17C. These are the only significant heat transfer processes that need

to be considered. Ignoring effects of kinetic and potential energy, and assuming steady operation,

determine the minimum theoretical mass flow rate (kg/s) of steam required for this scenario.

As shown in the diagram, a system undergoing a power cycle delivers a net power output of 1 MW while receiving energy by heat transfer from steam condensing from saturated vapor to saturated liquid at a constant pressure of 100 kPa. Energy is discharged from the cycle by heat transfer to a nearby lake at 17 C. These are the only significant heat transfer processes that need to be considered. Ignoring effects of kinetic and potential energy, and assuming steady operation, determine the minimum theoretical mass flow rate (kg/s) of steam required for this scenario.

Explanation / Answer

For steam at 100 kPa, we have saturation temperature = 99.6 deg C

Carnot efficiency of cycle = 1