Skip to main content
Ch.18 - Thermodynamics: Entropy, Free Energy & Equilibrium

Chapter 18, Problem 57a

Which state in each of the following pairs has the higher entropy per mole of substance? (a) Ice at -40 °C or ice at 0 °C

Verified Solution
Video duration:
3m
This video solution was recommended by our tutors as helpful for the problem above.
335
views
Was this helpful?

Video transcript

well every once in this video went to identify which has a higher entropy per mole between aniline at negative 10 degrees Celsius and aniline at zero degrees Celsius. The tm for aniline is negative 6.2 degrees Celsius. Let's go ahead and recall what entropy even is. So entropy is a measure of disorder, more randomness. So comparing between Eileen and 10 degrees Celsius and Eileen at zero degrees Celsius, the ladder has the higher entropy per mole. So the first noticeably point of comparison between the two is going to be our temperature. So comparing our zero degrees Celsius and the 10 or negative 10 degrees Celsius, of course we see that zero degrees Celsius is obviously at a higher temperature. So comparing the sample at negative 10 degrees Celsius, the molecules of aniline as zero degrees Celsius are relatively more energetic. So if they're more energetic than they bump into each other and into the water container and they're going to be more random and not in their fixed positions. So they're going to be definitely more disordered. So we can write that higher temperature will lead to more randomness which of course in turn leads to being more or higher Rather entropy. Also, the melting temperature for Eileen is negative 6.2 degrees Celsius is indicated in our problem implying that temperature lower than this such as negative 10 degrees Celsius means that Eileen is still in a solid state while I had higher temperature such as zero degrees Celsius, eileen is in its liquid state and in a liquid state the substance has more freedom to move around some more mobility and with more mobility. What this means is that the liquid particles can spy pass one another as compared to the molecules that be solid, which are definitely fixed. So there's more more freedom for movement. And this results in a greater randomness or disorder, which means that we have a higher and should be value. So for my final answer that is to identify which has a higher entropy promote. This is going to be my aniline At 0°C. So this right here is going to be my final answer for this problem.