Problem 2: Entropy changes in free expansion and mixing. A. An isolated box has a partition dividing it into two equal parts, each with a volume V. Initially there are a total of N gas molecules all in the right-hand partition of the box. An opening is made on the partition. 1. What property (N, U, etc.) of the gas is changing as the gas expands into the left partition? 2. Calculate, in terms of N and V only, the change in volumetric entropy ASvol = Sf-S; of the gas after it expands to fill both partitions. 3. Assume that each molecule has f degrees of freedom and that each begins with q energy blocks. What is the change in the energetic entropy, in terms of N and q? What is the total change in entropy of the gas? N, V P.T 4. Assume that the expanding gas is mol of CO2, each molecule with q = 12 energy blocks. Find the change in entropy of the gas, in J/K, after it expands.

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Problem 2: Entropy changes in free expansion and mixing.
A. An isolated box has a partition dividing it into two equal parts, each with a
volume V. Initially there are a total of N gas molecules all in the right-hand
partition of the box. An opening is made on the partition.
1. What property (N, U, etc.) of the gas is changing as the gas expands into the
left partition?
V >. N.
2. Calculate, in terms of N and V only, the change in volumetric entropy ASvol Sf-S of the gas
after it expands to fill both partitions.
3. Assume that each molecule has f degrees of freedom and that each begins with q energy blocks.
What is the change in the energetic entropy, in terms of N and q? What is the total change in
entropy of the gas?
4. Assume that the expanding gas is mol of CO2, each molecule with q = 12 energy blocks. Find
the change in entropy of the gas, in J/K, after it expands.
P.1
Transcribed Image Text:Problem 2: Entropy changes in free expansion and mixing. A. An isolated box has a partition dividing it into two equal parts, each with a volume V. Initially there are a total of N gas molecules all in the right-hand partition of the box. An opening is made on the partition. 1. What property (N, U, etc.) of the gas is changing as the gas expands into the left partition? V >. N. 2. Calculate, in terms of N and V only, the change in volumetric entropy ASvol Sf-S of the gas after it expands to fill both partitions. 3. Assume that each molecule has f degrees of freedom and that each begins with q energy blocks. What is the change in the energetic entropy, in terms of N and q? What is the total change in entropy of the gas? 4. Assume that the expanding gas is mol of CO2, each molecule with q = 12 energy blocks. Find the change in entropy of the gas, in J/K, after it expands. P.1
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