Lab: THE GAS LAWS
Report Part 1: SOLUTIONS.
1. Review and practice with the sample
linearizations provided in the lab folder.
Then plot the following data, linearize,
and write the equation. Show/explain
each step. This data is related to highjumping.
𝒔𝟐
𝑯 = (𝟎. 𝟎𝟒𝟕 𝒎 ) 𝒗 + (𝟏. 𝟕𝒎)
Height vs. Speed^2
Height (m)
8
6
4
Running Speed
(m/s)
0.0
0.4
0.9
2.1
2.5
3.8
4.2
5.9
8.6
9.1
10.0
Height of Jump
(m)
1.60
1.62
1.65
1.81
2.00
2.39
2.60
3.50
5.10
5.80
6.30
2
0
0
50
100
150
Speed^2 (m/s)^2
Pressure
(atm)
1.0
1.5
2.5
3.0
5.0
6.5
7.2
8.8
9.4
10.0
2. Convert the following data to standard MKS metric
and linearize. Write the equation.
a. What kind of uncertainty is reasonable for the
kind of volume values presented? Explain.
b. Does the equation match the ideal gas law?
Explain your reasoning.
c. If the temperature was 20º C, how many moles
of gas were in the container?
𝑉=
Volume
(cm3)
5100
3300
1900
1700
1100
750
700
590
520
500
(510 𝐽)
𝑃
Vol vs 1/Pressure
Vol (x10^-6 m^3)
n = 0.21 moles
6000
4000
2000
0
0
5
10
1/P (1/10^6 Pa)
Physics 122 Lab: The Gas Laws
Eyres
page 1
rev: 10/11
15
Lab: THE GAS LAWS
3. You have 2.70 +/- 0.05 kg of mass stacked on top of a rectangular column of gas
with a movable, yet sealed top. The column is 2.0 cm by 2.0 cm at its base and
10.0 cm high. Uncertainty for length measurements is +/- 0.1 cm. The
atmospheric pressure is 1.00 atm.
a. Find the absolute pressure on the gas. Show your work. Check your
units.
𝐹
𝐴
2.70 𝑘𝑔 ∗ 9.8𝑠𝑚2
𝑃 = 𝑃𝑎𝑡𝑚 +
𝑃 = 101300 𝑃𝑎 +
0.02 𝑚 ∗ 0.02 𝑚
168000 𝑃𝑎
b. Find the uncertainty in the area calculation for the situation given. Show
your work.
Max area with uncertainty in sides
4.4 E -4
Average (Regular) Area
4.0 E -4
Min area with uncertainty in sides
3.6 E -4
Uncertainty for area is 0.4 E -4 m2
c. Find the uncertainty in the gauge pressure for the situation given. Show
your work.
Max gauge P with uncertainty in mass
and area
Average (Regular) Area
Min gauge P with uncertainty in mass
and area
7.47 E 4
6.62 E 4
5.89 E 4
Uncertainty for gauge pressure is +/- 8500 Pa
Physics 122 Lab: The Gas Laws
Eyres
page 2
rev: 10/11