What is the total entropy change if a 0.280 efficiency engine takes 3.78e3 j of heat from a 3.50e2 degc reservoir and exhausts it to a 42.4 degc reservoir?

Explanation:

We know,

     ..............(1)

where,

η = Efficiency of the engine

T₁ = Initial Temperature

T₂ = Final Temperature

Q₁ = Heat available initially

Q₂ = Heat after reaching the temperature T₂

Given:

η =0.280

T₁ = 3.50×10² °C = 350°C = 350+273 = 623K

Q₁ = 3.78 × 10³ J

Substituting the values in the equation (1) we get

or

or

⇒

Now,

The entropy change () is given as:

or

substituting the values in the above equation we get

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