A tank contains 3.5 kg methane at 280 K and 100 kPa. It is to be heated to 500 K

Question

A tank contains 3.5 kg methane at 280 K and 100 kPa. It is to be heated to 500 K by
means of a reversible heat pump. If the heat pump received heat from the ambient at
280 K, determine the total amount work required by the heat pump.

Use the specific heat expression allowing the specific heat to adjust as the
temperature changes (thus not a constant value). Ignore any heat loss from the tank
back to the environment.

Make use of a suitable mathematical integration to take into account that the
temperature to which the heat pump delivers the heat, increases during the process.

Explanation / Answer

mass=3.5

T1=500 t1=280

Q=MCp(T1-t1)

this much amount of work is done

cp=a+bt+(ct^2)/2

a,b,c are constants

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