[Single-digit Integer] As 1 mole of liquid water is heated from 288 to 298 K, it expands slightly against the atmosphere. Coefficient of cubic expansion of water = 0.0002/°C; density of water = 1.0 g/

Question

[Single-digit Integer] As 1 mole of liquid water is heated from 288 to 298 K, it expands slightly against the atmosphere. Coefficient of cubic expansion of water = 0.0002/°C; density of water = 1.0 g/cm3; external pressure = 1 bar. If the magnitude of work for this process is X J, then the value of X/(6 × 10^-4) is

Prashant Kotian · Accepted Answer

Correct answer: 0006. V = 18 cm3 = 18 × 10^-6 m3. ΔV = V × α × ΔT = 18 × 10^-6 × 2 × 10^-4 × 10 = 3.6 × 10^-8 m3. w = P × ΔV = 10^5 × 3.6 × 10^-8 = 3.6 × 10^-3 J. X/(6 × 10^-4) = 3.6 × 10^-3 / (6 × 10^-4) = 6.

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