Calculating Vapor Pressure by Using a Table The graphing calculator can run a program that calculates a table for the vapor pressure in atmospheres at different temperatures (K) given the number of moles of a gas and the volume of the gas (V). Given a 0.50 mol gas sample with a volume of \(10 \mathrm{L},\) you can calculate the pressure at 290 \(\mathrm{K}\) by using a table. Use this program to make the table. Next, use the table to perform the calculations. Go to Appendix C. If you are using a TI- -83 Plus, you can download the program VAPOR and data and run the application as directed. If you are using another calculator, your teacher will provide you with key- strokes and data sets to use. After you have run the program, answer the questions. a. What is the pressure for 1.3 mol of a gas with a volume of 8.0 \(\mathrm{L}\) and a temperature of 320 \(\mathrm{K} ?\) b. What is the pressure for 1.5 mol of a gas with a volume of 10.0 \(\mathrm{L}\) and a temperature of 340 \(\mathrm{K} ?\) Two gases are measured at 300 \(\mathrm{K}\) . One has an amount of 1.3 \(\mathrm{mol}\) and a volume of \(7.5 \mathrm{L},\) and the other has an amount of 0.5 \(\mathrm{mol}\) and a volume of 10.0 \(\mathrm{L} .\) Which gas has the lesser pressure?

Step by step solution

01

Use the VAPOR program

Enter the given values of number of moles, volume and temperature into the VAPOR program on your calculator. This step is necessary to generate the table values required for the subsequent calculations.

02

Calculate pressure for Scenario 1

Refer to the table produced by the VAPOR program for a temperature of 320K, a volume of 8.0L and number of moles as 1.3. The pressure can now be calculated.

03

Calculate pressure for Scenario 2

Utilize the VAPOR program table for a temperature of 340K, volume of 10.0L and number of moles as 1.5. Calculate the corresponding pressure.

04

Compare pressures for Scenario 3

Using the VAPOR table for a temperature of 300K, calculate the pressure for each gas (the one with 1.3 mol in a volume of 7.5L and the other with 0.5 mol in a volume of 10.0L). After finding the pressure, compare the two values to determine which gas has the lesser pressure.

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