Deriving the Gas Laws Using Computer Simulations

Analysis: Procedure 1: Pressure Volume Relationship

  1. Graphically represent the Pressure (atm) Volume (nm3) relationship with volume on the x-axis. Be sure to include a proper title and caption.
    insert graph here
  2. Graphically represent the Pressure (atm) and Inverse Volume, 1/V (nm-3) relationship with 1/V on the x axis. Be sure to include a proper title and caption.
    insert graph here
  3. Identify the mathematical relationship that exists between pressure and volume, when temperature and quantity are held constant, as being directly proportional or inversely proportional. Explain your answer and write an equation that relates pressure and volume to a constant, using variables, not the mathematical equation from the best fit line.
  4. Why were you asked to graph pressure and the inverse of volume?

Analysis Questions: Procedure 2: Volume Temperature Relationship

  1. Graphically represent the Temperature (K) Volume (nm3) relationship. Be sure to include a proper title and caption.
    insert graph here
  2. Identify the mathematical relationship that exists between volume and temperature, when pressure and quantity are held constant, as being directly proportional or inversely proportional. Explain your answer and write an equation that relates volume and temperature to a constant, using variables, not the mathematical equation from the best fit line.
  3. Use your line of best fit to estimate the temperate at the y-intercept. What does this temperature represent?

Analysis Questions: Procedure 3: Temperature Pressure Relationship

  1. Graphically represent the Temperature (K) Pressure (atm) relationship. Make sure the axis that represents temperature includes a range from 0 K to 600 K. Be sure to include a proper title and caption.
    insert graph here
  2. Identify the mathematical relationship that exists between pressure and temperature, when volume and quantity are held constant, as being directly proportional or inversely proportional. Explain your answer and write an equation that relates pressure and temperature to a constant, using variables, not the mathematical equation from the best fit line.
  3. What effect does temperature have on molecular motion? Using this explanation, explain why both pressure and volume can decrease with decreasing temperature.
  4. Absolute zero is theorized to be the temperature that all molecular motion stops. Based on this, what would you predict to be the pressure and volume of a gas sample whose temperature is decreased to absolute zero? Explain.

Analysis Questions: Procedure 4: Pressure Quantity Relationship

  1. Graphically represent the Quantity (number of molecules) Pressure (atm) relationship. Be sure to include a proper title and caption.
    insert graph here
  2. Describe the impact of increasing the number of molecules (or moles) of a gas on the pressure of a gas sample. Would you expect this trend to be the same for other gases? Explain your answer.
  3. Based on your previous observations, predict the impact of changing the number of moles of a gas sample on the volume of the gas sample (if pressure and temperature are held constant). What effect would changing the number of moles of a gas sample have on the temperature of a gas sample (if pressure and volume are held constant)? Explain your answer and state whether these relationships are proportional or inversely proportional.
  4. Calculate the slope of the line for your pressure vs. quantity graph (Excel will do this for you when you determine the line of best fit, please see the tutorial available on D2L or by your own online search). What properties does this number represent? Would you expect it to be the same for other gases? Explain your answer. Explain if you would expect the slope to be the same or different for other gases with respect to the other 3 relationships that were analyzed in this activity.

Sample Solution