Question

1. in order to perform this experiment, what two experimental factors (p, v, n, or t) were kept constant? n and v were kept constant 3. based on the data and graph that you obtained for this experiment, express in words the relationship between gas pressure and absolute temperature. the pressure of gas is directly proportional to its absolute temperature 4. explain this relationship (in q3 above) using the concepts of molecular velocity and collisions of molecules. 5. one way to determine if a relationship is inverse or direct is to find a proportionality constant, k, from the data. if this relationship is direct, k = p/t. if it is inverse, k = p·t. based on your answer to question 3, choose one of these formulas and calculate k for the four ordered pairs in your data table (divide or multiply the p and t values). only use the kelvin temperatures, not celsius! show the answer in the fourth column of the data table above. how “constant” were your values?

Explanation:

Step1: Recall kinetic - molecular theory

As temperature (T) increases, molecular velocity increases. Faster - moving molecules collide more frequently and with greater force against the walls of the container. Since pressure (P) is due to the force of molecular collisions per unit area, when the number of moles (n) and volume (V) are constant, an increase in temperature leads to an increase in pressure.

Step2: For direct - relationship calculation

Since the relationship between pressure (P) and temperature (T) is direct (from Q3), we use the formula $k=\frac{P}{T}$. For each ordered pair (P, T) in the data table (using Kelvin temperatures), we calculate $k$. If the relationship is truly direct, the values of $k$ should be relatively constant within the limits of experimental error.

Answer:

For Question 4: As the absolute temperature of a gas increases, the average velocity of its molecules increases. Faster - moving molecules collide more often and with greater force with the walls of the container, resulting in an increase in pressure. Since the number of moles and volume are constant, pressure is directly proportional to absolute temperature.
For Question 5: Calculate $k = \frac{P}{T}$ for each ordered pair (P, T) in the data table using Kelvin temperatures. Analyze the constancy of the calculated $k$ values. If the experimental data is accurate and the relationship is truly direct, the $k$ values should be close to each other within the margin of experimental error. Without the actual data table values, we cannot provide specific numerical results for $k$ and its constancy.