A 4.00-litre container is divided into two equal parts, one part containing 0.010 0 mole of neon, and the other part containing 0.010 0 mole of helium. The divider is removed and the gases mix. What is the change in entropy (in J/K) of this system?
A)0.057 6
B)0.115
C)0.173
D)0.086 4
E)0.144

Question

Quizplus · Accepted Answer

The change in entropy for mixing two ideal gases can be calculated using the formula: ΔS = -nR(x1ln(x1) + x2ln(x2)), where n is the total number of moles, R is the gas constant (8.314 J/mol·K), and x1 and x2 are the mole fractions of the gases. Here, n = 0.020 moles, x1 = x2 = 0.5. Substituting these values gives ΔS = 0.115 J/K.

A 400-Litre Container Is Divided into Two Equal Parts, One Part