A heat engine operating between energy reserviors of 100.69 oC and 502.4oC has 22.12% of the...

A heat engine operating between energy reserviors of 100.69 oC and 502.4oC has 22.12% of the maximum possible efficiency. How much energy must this engine extract from the hot reservior to do 2,274.09J of work?

Solutions

Expert Solution

We are given the temperatures of energy reservoirs with temperatures and. Also

Refer the picture above, foa a heat engine working between two reservoirs, the efficiency percentage is given by:

........... EQ1

Rearranging EQ1 gives

........... EQ2

(Note: Actual efficiency must be substituted in percentage value)

Also the maximum efficiency percentage is the Carnot's heat engine efficiency percentage given by:

................. EQ3

(Note: Tempertures are substituted in Kelvin scale only)

We will use EQ3 to get the maximum efficiency, we get

Now its given that the actual efficiency is 22.12 % of the maximum efficiency.

So, the actual efficiency is calculated as:

Using EQ2 to determine the energy extracted from the hot reservoir to do 2274.09 J of work.

Answer: we need to extract 19848.91 J of energy from the Hot reservoir.

genius_generous answered 1 year ago

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