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Given: L0 = 10cm, V0 = 103 = 1000cm3, ΔT = 130−30 = 100∘C, αl = 1.7×10−5K−1. Volume expansion: αv = 3αl = 3×1.7×10−5 = 5.1×10−5K−1. ΔV = V0αvΔT = 1000×5.1×10−5×100 = 5.1cm3. V = V0+ΔV = 1000+5.1 = 1005.1cm3.
Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.
Bulk modulus: B = -p / (ΔV / V). Volume: V = (0.1)3 = 0.001 m3. Fractional change: ΔV / V = -p / B = -(5 × 106) / (1.4 × 1011) ≈ -3.57 × 10-5. Change in volume: ΔV = (ΔV / V) × V = -3.57 × 10-5 × 0.001 ≈ -3.57 × 10-8 m3.
Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.
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