Which state in each of the following pairs has the higher entropy per mole of substance? (d) Water vapor at 150 °C and 1 atm or water vapor at 100 °C and 2 atm

Video transcript

Hello. Everyone in this video we're trying to identify which has a higher entropy Permal between methanol at 64.6 degrees Celsius and 1 80 M. And methanol at 80 degrees Celsius and at 800.5 A. T. M. The TB for methanol is 64.6 degrees Celsius. So what is entropy? Let's go ahead and write this out. Entropy is a measure of disorder or randomness. So comparing between methanol at 64.6 degrees Celsius at 1 M. And methanol at 80 degrees Celsius at 1.5 80 M. The ladder has the higher entropy per mole. So the factors that can be compared here is going to be of course our temperatures and the pressures. So the temperature. So let's say comparing temperature. So here comparing 80°C With 64.6°C of course the 80°C is higher. So at a higher temperature, we'll write this in red. So at high temperatures method norm molecules are more energetic. So when it's more energetic they bump into each other and into the walls of the container more and more random and are more disordered. In addition to this, the pressure that we're gonna go ahead and look at this so we're gonna go ahead and break this out as well. So we're comparing now the pressure. So it's between one A. T. M. And 0.5 A. T. M. We fear that the 1 80 M is of course the higher pressure. So the pressure paired with a temperature of 80 degrees Celsius in the second case which is 800.5 80 M, is still less than the first, which is 1 80 M as the pressure becomes less, will also write this out. So lower pressure means that we have more freedom for the same number of particles that bump into each other and with the walls of the container more means more mobility and greater randomness of disorder. And consequently we of course have higher attribute. So it is also important to take here or to note here that at the boiling temperature of 64.6 degrees Celsius liquid, methanol already transitioned into its gaseous state. So in the first case here, at 64.6 degrees Celsius, we might have methanol as partly liquid and partly gas as compared to the second case at a degree Celsius where all the method of molecules are already in the gaseous phase. So gasses molecules are of course more mobile than a mixture of liquid and gas of the same substance, so more mobility equals to more disorder. And of course then that means higher entropy. So answer then, is that the one with the higher entropy per mole for methanol is the methanol At 80°C and at 0.5 a. T. M. is the one with the higher entropy. So this right here is going to be my final answer for this problem