Translational partition function of a D₂ molecule confined in 100 cm vessel at 25 C is

Q73 · CSIR-NET Chemistry, June 2018

Paper: CSIR-NET June 2018 · Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Partition Functions · Marks: 2 · Difficulty: Easy

Translational partition function of a $\mathrm{D}_{2}$ molecule confined in 100 cm vessel at 25 C is

(a)$3.8 \times 10^{22}$

(b)$5.8 \times 10^{24}$

(c)$7.8 \times 10^{26}$

(d)$9.8 \times 10^{28}$

Answer

Answer: C ✓ checked by 4AB · confidence high

Explanation

Λ = h/√(2πmkT) = 5.0×10⁻¹¹ m for D₂ at 298 K; q = V/Λ³ = 10⁻⁴ m³/1.3×10⁻³¹ m³ = 7.8×10²⁶.

Study loop for Statistical Thermodynamics