Paper: CSIR-NET June 2018 · Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Thermodynamics – General · Marks: 2 · Difficulty: Medium
At 300K, the thermal expansion coefficient and isothermal compressibility of liquid water are $2 \times 10^{-4}\,\mathrm{K^{-1}}$ and $5 \times 10^{-5}\,\mathrm{bar^{-1}}$, respectively $\left(\frac{\partial U}{\partial V}\right)_{T}$ (in kbar) for water at 320K and 1 bar will be.
(a)2.4
(b)1.2
(c)0.6
(d)12.0
Answer
Answer: B ✓ checked by 4AB · confidence high
Explanation
(∂U/∂V)_T = Tα/κ_T − P = 320 × 2×10⁻⁴/5×10⁻⁵ − 1 ≈ 1279 bar ≈ 1.3 kbar — closest 1.2 (b).