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Question
When two kilocalories of heat are supplied to a system, the internal energy of the system increases by 5030 J and the work done by the gas against the external pressure is 3350 J. Calculate J, the mechanical equivalent of heat.
Numerical
Solution
dQ = 2 kcal, dE = 5030 J, dW = 3350 J
dQ = `(dE + dW)/J`
∴ The mechanical equivalent of heat,
J = `(dE + dW)/(dQ)`
= `(5030 + 3350)/2`
= `8380/2`
= 4190 J/kcal
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