asked 114k views
5 votes
1)The vapor pressure of dichloromethane, CH2Cl2, at 0 ?C is 134 mmHg. The normal boiling point of dichloromethane is 40. ?C. Calculate its molar heat of vaporization.

Express your answer to three significant figures and include the appropriate units.

asked
User Kitlbast
by
7.6k points

1 Answer

1 vote

Explanation: The idea here is that you can use the Clausius - Clapeyron equation to estimate the vapor pressure of a liquid at a given temperature provided that you know the vapor pressue of the liquid at another temperature and its enthalpy of vaporization, ΔHvap. Consequently, if you know the vapor pressure of a liquid at two different temperatures, you can use the Clausius - Clapeyron equation to find is enthalpy of vaporization. The Clausius - Clapeyron equation looks like thisln(P1P2)=−ΔHvapR⋅(1T1−1T2) , whereP1 - the vapor pressure of the liquid at a temperature T1P2 - the vapor pressure of the liquid at a temperature T2R - the universal gas constant, given in this contex as 8.314 J mol−1K−1Now, it's important to realize that the normal boiling point of a substance is measured at an atmoshperic pressure of 1 atm. You can express this in mmHg by using the conversion factor1 atm = 760 mmHgAlso, keep in mind that you must use absolute temperature, which is temperature expressed in Kelvin. So, rearrange the equation to solve for ΔHvapΔHvap=−ln(P1P2)⋅R(1T1−1T2)Plug in your values to getΔHvap=−ln(134mmHg760mmHg)⋅8.314J mol−1K−1(1(273.15+0)−1(273.15+40))K−1ΔHvap=30854.8 J mol−1I'll express the answer in kilojoules per mole and leave it rounded to one sig figΔHvap=30 kJ mol−1

answered
User Shaquira
by
7.8k points
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.