Which state in each of the following pairs has the higher entropy per mole of substance? (d) CO₂ at STP or CO₂ at 100 °C and 0.1 atm

Video transcript

Hello everyone in this video. I want to go ahead and identify which has a higher entropy per mole between end two at zero degrees Celsius and one A. T. M. And N. Two at 25 degrees Celsius and a 250.5 A. Tm. Let's first go ahead and recall what entropy even is. So entropy is a measure of disorder or randomness. So between N two at zero degrees Celsius and won T. M. And N two at 25 degrees Celsius and 0.5 A. T. M. The ladder has a higher entropy per mole. So given the substance in consideration and the amounts are the same for the two cases the temperature and pressure is where we're gonna go ahead and use for the point of comparison. So we have first comparing the temperatures. So we're comparing 25°C and 0°C. of course 25°C is higher. So at a higher temperature molecules are going to be more energetic so they bump into each other and into the walls of the container more and more. This means that it's going to be more random and the molecules are not in their fixed positions meaning that we have higher disorder or higher entropy. I'm never going to go ahead and compare pressures. So we have 1 80 M versus 0.58 E. M. And you can see of course 1 80 M is higher. So as the pressure becomes less there's going to be more freedom or more room or space for the number of particles to bump into each other and with the walls of the compared as well. So there's more mobility and greater randomness or disorder. And of course that means more entropy. So for answer then, to say that we have identified which has a higher entry paper mole, is the N two molecule at 25 degrees Celsius and at the pressure of 0.58 E. M. So this right here is going to be my final answer for this problem.