The vapor pressure of the solution will be 115 torr.
You’re dealing with a solution that consists of a non-volatile , sodium chloride, and water, which will be your .
The general idea is that the of a solution that contains a non-volatile solute will be lower than the vapor pressure of th pure solvent, under the same conditions.
This is known as Raoult’ Law, which is mathematically expressed as
##P_”solvent” = chi_”solvent” * P_”solvent”^0##, where
##P_”solvent”## – the vapor pressure of the solvent above the solution that contains the non-volatile solute;
##chi_”solvent”## – fraction of the solvent;
##P_”solvent”^0## – the vapor pressure of the pure solvent.
Since you know that the vapor pressure of pure water at ##55^@”C”## is equal to 118.1 torr, you only need to determine the mole fraction of water in the solution.
To do that, you need the value of its at that temperature, which you can find here:
http://antoine.frostburg.edu/chem/senese/javascript/water-density.html
So, use water’s volume and to calculate its mass
##rho = m/V => m = rho * V##
##m_”water” = 0.9857″g”/cancel(“mL”) * 376cancel(“mL”) = “370.62 g”##
Use the molar masses of water and sodium chloride to determine how many moles of each you have
##34.2cancel(“g”) * “1 mole NaCl”/(58.44cancel(“g”)) = “0.5852 moles”## ##NaCl##
and
##370.62cancel(“g”) * “1 mole water”/(18.02cancel(“g”)) = “20.57 moles”## ##H_2O##
The total number of moles present in the solution will be
##n_”total” = n_(NaCl) + n_(H_2O)##
##n_”total” = 0.5852 + 20.57 = “21.16 moles”##
The mole fraction of water will be
##chi_”water” = n_”water”/n_”total” = (20.57cancel(“moles”))/(21.16cancel(“moles”)) = “0.972”##
The vapor pressure of the solution will thus be
##P_”solvent” = 0.972 * “118.1 torr” = “114.79 torr”##
Rounded to three , the answer will be
##P_”solvent” = color(green)(“115 torr”)##
Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Ask A Question and we will direct you to our Order Page at WriteDemy. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Fill in all the assignment paper details that are required in the order form with the standard information being the page count, deadline, academic level and type of paper. It is advisable to have this information at hand so that you can quickly fill in the necessary information needed in the form for the essay writer to be immediately assigned to your writing project. Make payment for the custom essay order to enable us to assign a suitable writer to your order. Payments are made through Paypal on a secured billing page. Finally, sit back and relax.
About Writedemy
We are a professional paper writing website. If you have searched a question and bumped into our website just know you are in the right place to get help in your coursework. We offer HIGH QUALITY & PLAGIARISM FREE Papers.
How It Works
To make an Order you only need to click on “Place Order” and we will direct you to our Order Page. Fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Are there Discounts?
All new clients are eligible for 20% off in their first Order. Our payment method is safe and secure.