1 mol of CO₂, 1 mol of N₂ and 2 mol of O₂ were mixed at 300 K. The entropy of mixing is

Q29 · CSIR-NET Chemistry, December 2011

Paper: CSIR-NET December 2011 · Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Laws State Functions · Marks: 2 · Difficulty: Easy

1 mol of $\mathrm{CO}_{2}, 1 \mathrm{mol}$ of $\mathrm{N}_{2}$ and 2 mol of $\mathrm{O}_{2}$ were mixed at 300 K . The entropy of mixing is

(a)$6 R \ln 2$

(b)$8 R \ln 2$

(c)$\frac{8 R \ln 2}{300}$

(d)$16 R \ln 2$

Answer

Answer: A ✓ checked by 4AB · confidence high

Explanation

ΔS_mix = −R Σ n_i ln x_i = −R[ln ¼ + ln ¼ + 2 ln ½] = R[2 ln 4 + 2 ln 2] = 6R ln 2.

Study loop for Thermodynamics