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Explain the formulation of first law of thermodynamics.

OR 

Deduce mathematical equation for the first law of thermodynamics. Justify its expression.

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(1) The first law of thermodynamics is based on the principle of conservation of energy.

(2) If Q is the heat absorbed by the system and if W is the work done by surroundings on the system then the internal energy of the system will increase by ΔU.

(3) From the conservation of energy we can write, Increase in internal energy of the system = Quantity of heat absorbed by the system + Work done on the system

∴ ΔU = Q + W

(4) For an infinitesimal change, 

dU = dQ + dW

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