Question

Calculate the value of the translational partition function of O2 at 1000 K for a volume of 1 m3. Submit your answer multiplied by 10−32 (i.e. if you calculate 4.2e33, input 42).

Answer 1

q_T = V / $\Lambda$³ = V / (h / (2$\pi$mk_BT)^1/2)³ = 1 / (6.626 × 10^-34 / (2 × 3.142 × (0.032 / (6.022 × 10²³) × 1.38 × 10^-23 × 1000))^1/2)³ = 1.693 × 10³⁴

Answer: 169.