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Different Surface _____Carpet________ with Ball ____Tennis____________
Bounce
1
2
3
Speed before bounce,
v
i
404.0
197.0
130.0
Speed after bounce, v
f
247.0
148.0
110.0
h
0
h
1
h
2
h
3
116.8
53.1
25.7
18.4
CALCULATIONS
Ratio of Speeds C
R
values
Ball 1
Ball 2
Ball 3
Different Surface
Speeds from Bounce 1
0.666
0.865
0.882
0.611
Speeds from Bounce 2
0.666
0.9577
0.857
0.751
Speeds from Bounce 3
0.810
0.851
0.923
0.846
Root of Ratio of Heights C
R
values
Ball 1
Ball 2
Ball 3
Different Surface
Heights from Bounce 1
0.78
0.871
0.836
0.67
Heights from Bounce 2
0.803
0.872
0.866
0.69
Heights from Bounce 3
0.758
0.878
0.851
0.84
Questions: 1.
Examine your values for both methods. (speeds and heights). Does one set of measurements give a more consistent value of the coefficient or restitution? Explain. Height-based measurements show more consistency in calculating the coefficient of restitution, with lower standard deviations compared to speed-based calculations. This suggests that height measurements are likely more reliable for assessing the elastic properties of collisions
2.
Are any of the values you obtained for the Coefficient of Restitution greater than one? What does this mean? Is this reasonable to expect?No coefficients of restitution exceeded one, confirming that the energy conservation principles are upheld in the experimental conditions. This validates the accuracy of the experimental setup and measurements.
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The following values are found for the speed of sound in air:Temperature (°C) 20 100 500 1000Speed (m/sec) 344 386 553 700Compare these values to the vrms speeds of N2 moleules at these temperatures.
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Temp = 273K Pressure = 1 atm
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O False
Time left 0:29:3
By what factor are the root-mean-square speeds V u? changed if a gas is heated from 300 K
to 500 K?
Select one:
Оа. 2.78
O b. 5.08
Ос. 1.67
O d. 1.29
O e. 1.07
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A cylinder measuring 9.9 cm wide and 12. cm high is filled with gas and the piston pushed down with a steady force.
piston
cylinder
gas
do
Ar
Calculate the force on the piston if the pressure in the gas is measured to be 122. kPa. Write your answer in units of kilonewtons. Round your
answer to 2 significant digits.
kN
x10
Explanation
Check
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A 48.8-mL sample of gas in a cylinder is warmed
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A cylinder measuring 2.2 cm wide and 2.6 cm high is filled with gas and the piston pushed down with a steady force.
piston
cylinder
gas
do
Ar
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answer to 2 significant digits.
kN
x10
Explanation
Check
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Student Number
KIM202E Physical Chemistry
1
2
3
Homework
4
5
-10
The collision diameter of N. is 3.74 × 10
m at 298.15 K and 101.325 kPa. Its average speed is 474.6 m
s. Calculate;
i) The mean free path,
ii) The average number of collisions Z experienced by one molecule in unit time,
A
iii) The average number of collisions Z per unit volume per unit time for N₁.
AA
29 March 2023
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mterconverti
g mölär mass and density of ideal gases
2/5
Calculate to three significant digits the density of carbon dioxide gas at exactly -5 °C and exactly 1 atm. You can assume carbon dioxide gas behaves as an
ideal gas under these conditions.
Explanation
Check
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Determine the collision frequency and mean free path ( in nm) of Chlorine gas at 10.0 bar and 373 K. Its collision cross section is 0.93 nm?.
Input your mean free path answer HERE in 3 significant figures.
Type your answer.
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Here in this PV=nRT problem, I solve for the temperature in C. 800 mm Hg / 760 mm Hg = 1.052631579atm. Chlorine gas is cl2, 100g/70.9g=1.410437236. After algebra, I get 227.211655. Is my answer off because I needed to round somewhere?
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What is the temperature, in K, of 0.250 moles of krypton in a 5.00 L
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The Density of a gas was measured at 1.50 atm and 27°C and found to be 1.95 g/L. Calculate the molar mass of the gas
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Interconverting pressure and force
A cylinder measuring 3.4 cm wide and 4.1 cm high is filled with gas and the piston pushed down with a steady force.
piston
cylinder
gas
Calculate the force on the piston if the pressure in the gas is measured to be 640. kPa. Write your answer in units of kilonewtons. Round your
answer to 2 significant digits.
Explanation
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dN
F(V)dV =
N
M
= 47(-
`2 zRT"
,MV².
32v² exp(-
2RT
AP(-
Where dN, the number of particles having a velocity between v and v+dV, V velocity of molecules, M
moleculer mass of gase, T temperature.
= [v? fV)dV =?
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2
dN
F (V )dV =
N
M
4 7 (-
2 ART
MV
3/2y ? exp(
2 RT
where dN, the number of particles having a velocity between v and v+dV, V velocity of molecules, M
moleculer mass of gase, T temperature
= |V ² † (V )dV =?
2-
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Question 49 of 59
The pressure in Denver, Colorado averages about 632 mm Hg. How many
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STARTING AMOUNT
ANSWER
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105
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101.325
14.70
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mm Hg
kPa
psi
bar
atm
Pa
torr
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A cylinder measuring 2.2 cm wide and 2.7 cm high is filled with gas. The piston is pushed down with a steady force measured to be 45. N.
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dlo
10
Ar
Calculate the pressure of the gas inside the cylinder. Write your answer in units of kilopascals. Round your answer to 2 significant digits.
| kPa
x10
Explanation
Check
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(a) Find the minimum muzzie speed needed to shoot a shell straight up to a height
above the Earth equal to the Earth's radius RE.
(b) Find the minimum muzzle speed that would allow a shell to escape from the Earth
completely (the escape speed).
Neglect air resistance, the Earth's rotation, and the gravitational pull of the moon. The
Earth's radius and mass are RE=6.38x106 m and mE-5.98 x1024 kg.
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3. Interpretation:
What was the mass of the strip of magnesium used in the experiment? (Restate what you just
calculated above.)
Does the mass you found match the mass the presenter stated (0.02g)?
Recall the purpose of significant figures is to communicate the level of certainty in a
measurement or calculation, with the last significant figure being an estimate.
Where (what digit/place) is the uncertainty in your calculation?
Where is the uncertainty in the mass stated by the presenter based on how it was written?
I
4. Conclusion/Analysis:
Which value for the mass of magnesium do you have more confidence in, the one you calculated
or the presenter's?
Why? State what factors affect the accuracy of your calculation and what you…
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Virial equation can be written in Z (compressibility factor form):
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Show that C'=(C-B2)/(RT)2 using the equation above.
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1
1
A
Trial 1
Trial 2
Trial 3
Trial 4
Trial 5
B
с
Total Pressure (kPa) Air Pressure (kPa)
104.40
99.67
108.51
101.84
103.36
104.00
104.61
111.47
113.79
115.89
D
Temperature (oC)
21.2
27.6
32.1
34.0
35.8
E
Temp(k)
294.35
300.75
305.25
307.15
308.95
Calculate the natural logarithm of the vapor pressures, In(P/PⓇ), where P is 100 kPa.
Prepare a graph (either by hand or in Excel) with In (P/P) plotted on the y-axis and 1/T (K-¹) plotted on the x-
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Determine the line of best fit for your data. Calculate the slope of this line.
From the slope calculate the enthalpy of vaporization.
F
1/T(k^-1)
0.00339
0.00332
0.00327
0.00325
0.00323
G
vapour pressure(kpa)
4..73
6.67
8.11
9.79
11.28
H
In(p/p0)
I
Enthalpy of vaorisation
J
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- The following values are found for the speed of sound in air:Temperature (°C) 20 100 500 1000Speed (m/sec) 344 386 553 700Compare these values to the vrms speeds of N2 moleules at these temperatures.arrow_forwardTemp = 273K Pressure = 1 atmarrow_forwardO False Time left 0:29:3 By what factor are the root-mean-square speeds V u? changed if a gas is heated from 300 K to 500 K? Select one: Оа. 2.78 O b. 5.08 Ос. 1.67 O d. 1.29 O e. 1.07 NEXT PAGE 15/4/2021 Jump to... lecture21_18/4/2021 ► TOSHIBA AA 144 B/O 8/0 of & 7 V 8A 9 40 4. 8 5 R TYYIUarrow_forward
- A cylinder measuring 9.9 cm wide and 12. cm high is filled with gas and the piston pushed down with a steady force. piston cylinder gas do Ar Calculate the force on the piston if the pressure in the gas is measured to be 122. kPa. Write your answer in units of kilonewtons. Round your answer to 2 significant digits. kN x10 Explanation Check 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use | Privacy Accessibility > Activity Details V You have viewed this topic MacBook Air DII 888 000 F11 吕口 F9 F10 F7 F8 esc F4 F5 F6 F2 F3 F1 %23 24 & 8 1 4. Q W E T Y. 1 P. R 2.arrow_forwardCalculate the most probable speed for hydrogen molecules at 0C. Select the correct response: 1200 m/s 2750 m/s 1500 m/s 1900 m/sarrow_forwardCalculate the fraction of N2 molecules that have speeds in the range 320 to 332 ms-1. The temperature is 380K. Please enter a number round to 3 decimal places.arrow_forward
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- mterconverti g mölär mass and density of ideal gases 2/5 Calculate to three significant digits the density of carbon dioxide gas at exactly -5 °C and exactly 1 atm. You can assume carbon dioxide gas behaves as an ideal gas under these conditions. Explanation Check O 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center N 42 F Cloudy 40 O G ENG DELL Vrt sc 11 FA 2752 13 F2 96 7. 5 AT E T Tobarrow_forwardDetermine the collision frequency and mean free path ( in nm) of Chlorine gas at 10.0 bar and 373 K. Its collision cross section is 0.93 nm?. Input your mean free path answer HERE in 3 significant figures. Type your answer.arrow_forwardHere in this PV=nRT problem, I solve for the temperature in C. 800 mm Hg / 760 mm Hg = 1.052631579atm. Chlorine gas is cl2, 100g/70.9g=1.410437236. After algebra, I get 227.211655. Is my answer off because I needed to round somewhere?arrow_forward
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