The question
Name: ______________________ Date: ____________ Speeds of gas molecules (4 points)
Graph
Two samples of argon
The graph shows the distribution of molecular speeds in two samples of argon gas, X and Y, in identical rigid containers. The samples hold the same number of atoms.
XY
Data table
| Speed (m/s) | X | Y |
|---|---|---|
| 0 | 0 | 0 |
| 50 | 0.164 | 0.045 |
| 100 | 0.611 | 0.174 |
| 150 | 1.219 | 0.372 |
| 200 | 1.831 | 0.616 |
| 250 | 2.305 | 0.88 |
| 300 | 2.548 | 1.135 |
| 350 | 2.538 | 1.356 |
| 400 | 2.312 | 1.525 |
| 450 | 1.945 | 1.628 |
| 500 | 1.521 | 1.661 |
| 550 | 1.111 | 1.629 |
| 600 | 0.761 | 1.54 |
| 650 | 0.49 | 1.407 |
| 700 | 0.297 | 1.245 |
| 750 | 0.17 | 1.07 |
| 800 | 0.092 | 0.892 |
| 850 | 0.047 | 0.724 |
| 900 | 0.023 | 0.572 |
| 950 | 0.01 | 0.44 |
| 1000 | 0.005 | 0.33 |
| 1050 | 0.002 | 0.241 |
| 1100 | 0.001 | 0.172 |
| 1150 | 0 | 0.12 |
| 1200 | 0 | 0.082 |
(a) Which sample is at the higher temperature? Justify your answer using the graph. [1 point]
(b) Which sample exerts the greater pressure? Explain in terms of collisions of the atoms with the walls. [1 point]
(c) A sample of neon (20.18 g/mol) is at the same temperature as sample X. Compare the average kinetic energy of the neon atoms with that of the argon atoms in X, and calculate the ratio of their average speeds, v(Ne) : v(Ar). [2 points]