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Question

How much heat is required to raise the temperature of 0.25 kg of tungsten from 25^circ C to 55^circ C ? (Specific heat of tungsten = 134.4 J kg⁻¹ K⁻¹ )

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Explanation

**Internal energy** state function depends only on temperature for ideal gas, U = f/2 n R T, change ΔU = n C_v ΔT, first law connects heat, work, internal energy, for expansion work done by gas positive, compression work done on gas negative, heat added positive. Δ Q = m s Δ T . m = 0.25 , s = 134.4 , Δ T = 55 - 25 = 30 . Δ Q = 0.25 × 134.4 × 30 = 1008 J . Using first law ΔU = Q - W, W = ∫ P dV, isobaric W = P ΔV, isothermal W = n

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