Solving Heat Engine Problem: Power Output Calculation

[abro369]

Homework Statement

The hot reservoir of a heat engine is steam at 100 while the cold reservoir is ice at 0. In 1.3 of operation, 12 of steam condenses and 59 of ice melts.
What is the power output of the heat engine?

Homework Equations

W=Q_h - Q_c
n=W/Q_h=1 - (T_c/T_h)
Q=ML

The Attempt at a Solution

All I could think to do was solve for the thermal coefficient.
n=1-(273/373)

I'm not sure where to go from here.

 

[Redbelly98]

Homework Statement

The hot reservoir of a heat engine is steam at 100 while the cold reservoir is ice at 0. In 1.3 of operation, 12 of steam condenses and 59 of ice melts.
What is the power output of the heat engine?

Please tell us what units go with these numbers!
Okay, it's fairly obvious the temperatures are in degrees Celsius, but you do need to tell us what units go with the 1.3, 12, and 59.

Hint: the condensing and melting info is useful for finding Qh and Qc.

 

[kerimek]

I would first clarify the problem and make sure that all the necessary information is provided. It is important to know the specific heat capacity of steam and ice, as well as the time frame for the operation of the heat engine. Additionally, it would be helpful to know the efficiency of the heat engine, as this would affect the power output calculation.

Assuming we have all the necessary information, we can proceed with the solution. The first step would be to calculate the amount of heat absorbed by the hot reservoir (Q_h) and the amount of heat released by the cold reservoir (Q_c). This can be done using the formula Q=ML, where M is the mass and L is the specific heat capacity.

Q_h = 12 kg * L_steam * (100°C - 0°C)
Q_h = 1200 L_steam

Q_c = 59 kg * L_ice * (0°C - 0°C)
Q_c = 0

Next, we can calculate the work done by the heat engine using the formula W=Q_h - Q_c.

W = 1200 L_steam - 0
W = 1200 L_steam

Finally, we can calculate the power output of the heat engine by dividing the work done by the time of operation.

Power output = W / time
Power output = 1200 L_steam / 1.3 hours
Power output = 923.08 L_steam/hour

However, it is important to note that this is just a rough estimate as we do not have all the necessary information. To get a more accurate calculation, we would need to know the efficiency of the heat engine and the specific heat capacities of steam and ice.