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Asked in NEET 1988 · First Law and Sign Convention
The first law states Δ Q=Δ U+Δ W.
Read it as a balance sheet: the energy entering as heat either stays in the system, raising U, or leaves again as work.
Nothing is created and nothing disappears; the total is only rearranged.
That is exactly the principle of conservation of energy, extended to include heat as a form of energy transfer.
So the first law is a consequence of the conservation of energy.
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