The molar entropy of ammonia,NH₃(g),at 25 $\circ$ C is 192.5 J/mol . K.Estimate the number of microstates accessible to a NH₃ molecule at 25 $\circ$ C to two significant figures.

Question

Quizplus · Accepted Answer

The molar entropy of a gas is given by the Boltzmann equation:$$S = k\ln W$$where S is the molar entropy, k is the Boltzmann constant, and W is the number of microstates accessible to a molecule.We can rearrange this equation to solve for W:$$W = e^{S/k}$$Plugging in the given values, we get:$$W = e^{192.5 J/mol \cdot K / (1.38 	imes 10^{-23} J/K \cdot mol)} = 1.1 	imes 10^{10}$$Therefore, the number of microstates accessible to a NH3 molecule at 25°C is 1.1 x 10^10.

The Molar Entropy of Ammonia,NH3(g),at 25 ∘\circ∘ C Is 192 ∘\circ∘ C to Two Significant Figures

The Molar Entropy of Ammonia,NH₃(g),at 25^$\circ$C Is 192 $\circ$ C to Two Significant Figures