In an air compressor the compression takes place at a constant internal energy and 50KJ of heat are rejected to the cooling water for every Kilogram of air. Calculate the work input for the compression stroke per kilogram of air?

work is 50 kj

Explanation:

Given data

heat (Q) = 50 kj

To find out

work input for the compression stroke per kilogram of air

Solution

we will apply here "first law of thermodynamics" i. e.

The First Law of Thermodynamics states that heat is a form of energy, subject to the principle of conservation of energy, that heat energy cannot be created or destroyed. It can be transferred from one location to another location. i. e.

ΔU = Q - W ... 1

here ΔU is change in internal energy, Q is heat and W is work done

here U = 0 because air compressor the compression takes place at a constant internal energy in question

so that by equation 1

Q = W

and Q = 50

so work will be 50 kj