3.18 Ten moles of H₂ and two moles of D₂ are mixed at 25 °C and 1 bar. What is the value of AS°? Assume ideal gases. 7. Problem 3.18 Modify the problem so that 2 moles of O2 and 8 moles of N₂ are mixed. Other details remain the same. Before you start, predict the sign of AmixS. For this problem, use the thermodynamic approach (eqn 3.43) Amix S -n₁R ln y₁ -n₂R ln y2

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3.18 Ten moles of H₂ and two moles of D₂ are mixed at 25 °C
and 1 bar. What is the value of AS°? Assume ideal gases.
7. Problem 3.18 Modify the problem so that 2 moles of O₂ and 8 moles of N₂ are mixed. Other
details remain the same. Before you start, predict the sign of AmixS. For this problem, use the
thermodynamic approach (eqn 3.43)
−n₁ R ln y₁ − n₂R ln y₂
Amix S
=
4x = -8.314 (2₁151 +86181)
=41.603 5/1
Гли
8. Calculate AmixS again, for the mixing process described in problem 7. This time, use the
molecular interpretation of the entropy (eqn 3.46). You can imagine two vessels connected
together with a valve. Initially, oxygen is on one side and nitrogen is on the other, both at 1 bar.
Now open the valve and allow mixing; the pressure will still be 1 bar. Calculate AS for the
oxygen, as its molecules now explore a volume that is 5 times larger. Calculate AS for the
nitrogen, as its molecules now explore a volume that is 1.25 times larger. Add these two AS
values together to get the total entropy change, which is AmixS. You should get the same answer
as in problem 7.
Transcribed Image Text:3.18 Ten moles of H₂ and two moles of D₂ are mixed at 25 °C and 1 bar. What is the value of AS°? Assume ideal gases. 7. Problem 3.18 Modify the problem so that 2 moles of O₂ and 8 moles of N₂ are mixed. Other details remain the same. Before you start, predict the sign of AmixS. For this problem, use the thermodynamic approach (eqn 3.43) −n₁ R ln y₁ − n₂R ln y₂ Amix S = 4x = -8.314 (2₁151 +86181) =41.603 5/1 Гли 8. Calculate AmixS again, for the mixing process described in problem 7. This time, use the molecular interpretation of the entropy (eqn 3.46). You can imagine two vessels connected together with a valve. Initially, oxygen is on one side and nitrogen is on the other, both at 1 bar. Now open the valve and allow mixing; the pressure will still be 1 bar. Calculate AS for the oxygen, as its molecules now explore a volume that is 5 times larger. Calculate AS for the nitrogen, as its molecules now explore a volume that is 1.25 times larger. Add these two AS values together to get the total entropy change, which is AmixS. You should get the same answer as in problem 7.
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