Chemistry questions below?

The density of acetone vapor in equilibrium with liquid acetone, (CH3)2CO, at 32°C is 0.876 g/L. What is the vapor pressure of acetone, in mm Hg, at 32°C?





1. What is the mass percent of solute in each of the following solutions?


1.29 mL glycerol (d = 1.324 g/mL) in 22.25 mL H2O (d = 0.998 g/mL)





2. What is the mass percent of solute in each of the following solutions?


(b) 0.271 L methanol (d = 0.791 g/mL)/kg water


(c) 3.5 L ethylene glycol (d = 1.114 g/mL) in 6.5 L propylene glycol (d = 1.036 g/mL)





3. An aqueous solution is prepared by diluting 3.30 mL acetone, CH3COCH3, (d = 0.789 g/mL) with water to a final volume of 75.0 mL. The density of the solution is 0.993 g/mL. What are the molarity and molality of acetone in this solution?


Check the number of significant figures. M


m





4. hat is the mole fraction of naphthalene, C10H8, in a solution prepared by dissolving 32.9 g C10H8(s) in 344 g C6H6(l)?





5.An ice cube weighing 23.4 g at a temperature of 0.0°C is added to 125 mL of water at 26.9°C in an insulated container. After some time the ice cube will have melted, the cold and warm water will mix and reach a final temperature. Start by computing the heat required to melt the ice cube, and think about where is comes from. Then do the mixing problem. The final temperature of all the water in the container is:





Ive tried all these with a tutor but keep getting them wrong or messing up with signifigant figures. Can anyone help

Chemistry questions below?
I will do the first one. This formula.





Density = Molar mass*pressure/RT ( you are looking for pressure )





C3H6O ( acetone ) has molar mass of; 58.078g/mol ( change C to K )(mmHg is = to Torr )





0.876g/L = (58.078g)(P)/(62.37Ltorr/molK)(305.15K)





58.078P =16672.212





Vapor Pressure = 287.07mm Hg ( leave the sigi figi to you )