Subtracting (a) from (b):. PV₂ - PV₁ = nRT₂ - nRT₁. P(V₂ - V₁) = nR(T₂ - T₁). Where V₂ - V₁ = ΔV and T₂ - T₁ = ΔT. Therefore, PΔV = nRΔT.
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