Make a rough, qualitative plot of the standard molar entropy versus temperature for methane from 0 K to 298 K. Incorporate the following data into your plot: mp = -182 °C; bp = -164 °C; °S = 186.2 J/(K*mol) at 25 °C.

Video transcript

Hello everyone today. We have the following problem. Use the data below to create an approximate graph of the standard molar entropy against temperature for methanol from 0° Kelvin to 400° Kelvin and then we have the melting point and the boiling point and the overall entropy for this liquid. So starting on our graph we're going to have the Y axis which will have our entropy and we'll have the X axis here which will involve our temperature. So as we go from states of matter from our solids to our liquid to our guests, we're going to be increasing. So we're gonna say this is going to be increasing our entropy. So at the melting point and the boiling point entropy change is going to be constant Because the rate of the conversion from one phase to another is going to be constant. And so what we need to do is we simply need to add to to each of these melting points that are in Celsius For our melting point we have 175 Kelvin and for our boiling point we're gonna add to 73 as well. This is gonna give us 338 Kelvin. So what we're gonna do, we're gonna make those marks on our graph here, we're gonna put 175 over here right here and then our there. Our entropy does not need any values at this 1 75 mark was going to put a straight line and our 3 38 we're also going to put a straight line but a little higher. And this is a show the constant rate of change. And so we're gonna go from zero and connect there. We're going to connect our two temperatures there. And then lastly, we're going to just show a line going to the far right from our 338. And so this is going to highlight the fact that we are going to be increasing our entropy as we increase our temperature. And so this is going to be our approximate graph. I hope this helped. And until next time.