What is the total internal energy of 14 moles of a monatomic ideal gas at a pressure of 2.4304 atm and volume of 0.14416 m³? (R-8.314 J/(mol-K))

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Chapter21: The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 21.48AP
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#69, bottom question...please help!

23 x 10 J
d. 5.16 x 104 J
a. 1.2 x 10-20 J
b. 9.14 x 10-21 J
c. 5.71 x 10-21 J
d. 1.54 x 10-20 J
65. What is the average translational kinetic energy per oxygen molecule in this sample?
(9) 6.022 X 10²) 5 (0.5x1.38x10 23 x 276k) = 51607
KE-3 KT-3 (1.38×10 23³ x 276 ) = 5.713×10 ²1
66. Is this kinetic energy the same or different from the nitrogen molecules in the sample?
a. Different
b. The same
b. 1.3 x 10³ m/s
c. 464 m/s
d. 1.11 x 10³ m/s
67. What is the rms speed of the oxygen molecules in this sample? (the atomic mass number of oxygen is
15.994, 1 u = 1.6605×10-27 kg)
Vrms - √√31/ T
a. 835 m/s
17
m
26
3(1.38X10-23) 276k
5.13 x10-20kg
68. Is this rms speed the same or different from the nitrogen molecules in the sample?
a. Different, because the oxygen molecules have a lower rms speed because they are more massive.
b. The same, because they have the same average translation KE.
3
un
69. What is the total internal energy of 14 moles of a monatomic ideal gas at a pressure of 2.4304 atm and
volume of 0.14416 m³? (R-8.314 J/(mol-K))
a. 8.52 x 104 J
b. 1.38 x 105 J
c. 1.07 x 105 J
d. 5.33 x 104 J
7
69
101
Tm
168.9
truturn
Md
[258]
mendelevium
MN ₂ = 4.65×10-26
kg
Color C
lloid
etal
May 10, 2023, 10:56 AM
Transcribed Image Text:23 x 10 J d. 5.16 x 104 J a. 1.2 x 10-20 J b. 9.14 x 10-21 J c. 5.71 x 10-21 J d. 1.54 x 10-20 J 65. What is the average translational kinetic energy per oxygen molecule in this sample? (9) 6.022 X 10²) 5 (0.5x1.38x10 23 x 276k) = 51607 KE-3 KT-3 (1.38×10 23³ x 276 ) = 5.713×10 ²1 66. Is this kinetic energy the same or different from the nitrogen molecules in the sample? a. Different b. The same b. 1.3 x 10³ m/s c. 464 m/s d. 1.11 x 10³ m/s 67. What is the rms speed of the oxygen molecules in this sample? (the atomic mass number of oxygen is 15.994, 1 u = 1.6605×10-27 kg) Vrms - √√31/ T a. 835 m/s 17 m 26 3(1.38X10-23) 276k 5.13 x10-20kg 68. Is this rms speed the same or different from the nitrogen molecules in the sample? a. Different, because the oxygen molecules have a lower rms speed because they are more massive. b. The same, because they have the same average translation KE. 3 un 69. What is the total internal energy of 14 moles of a monatomic ideal gas at a pressure of 2.4304 atm and volume of 0.14416 m³? (R-8.314 J/(mol-K)) a. 8.52 x 104 J b. 1.38 x 105 J c. 1.07 x 105 J d. 5.33 x 104 J 7 69 101 Tm 168.9 truturn Md [258] mendelevium MN ₂ = 4.65×10-26 kg Color C lloid etal May 10, 2023, 10:56 AM
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