Answer to Question #121772 in Physical Chemistry for INDRAJIT SOMNATH WADGAVE

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

$$q_T=\frac{V}{\lambda^3}=\frac{V}{(\frac{h}{(2\pi mk_bT)^\frac{1}{2}})^3}$$

$$=\frac{1}{(\frac{6.626\times10^{-34}}{(2\times3.14\times0.032\times1.38\times10^{-23}\times 1000)^{0.5}})^{3}}$$

$$=1.693\times10^{34}$$

Hence answer will be $169$