Which state in each of the following pairs has the higher entropy per mole of substance? (a) H₂ at 25 °C in a volume of 10 L or H₂ at 25 °C in a volume of 50 L

Video transcript

well every once in this video are being asked to identify which one has a higher entry paper mold between equal amounts of N two at 30 degrees Celsius and 15 liters for the volume. And comparing it with N two at 30 degrees Celsius and 65 liters. So let's go ahead and recall what entropy even is. So entropy is a measure of disorder or randomness. So because we have equal amounts of end two at third degree Celsius in liters and end two at 30 degrees Celsius in 65 liters the ladder has the higher entropy. So given that the molecule amount and temperature all the same here, we can only go ahead and compare volume. So comparing volume here. So we're comparing 15 liters versus liters. We see that 65 liters is the greater volume or the larger volume. So because this has a larger volume, this means that we have more room or space for the amount of particles to bump into each other as well as bumping into the walls of the container. This means that there's more mobility and greater randomness or disorder leading to a higher or more entropy. So my answer then is the one with the higher entropy per mole is going to be my end to at 30°C. And that's 65 L. So this right here is going to be my final answer for this problem