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Physics 132 Online Homework Problem: Chapter 2 Problem 1. (Nitrogen as an Ideal Gas) A. How many moles of nitrogen are there in 7 kg of nitrogen? The molecular weight of nitrogen is 28 g/mol
. B. What is the pressure (in Pa
) of 7 kg of nitrogen gas confined to a volume of 0
. 4 m
! at 20 °C
? Problem 2. (The Ideal Gas Law) An ideal gas in container 1 has pressure �
, volume �
, temperature �
, and in container 2 with
pressure 2
�
, volume "
# and temperature 2
�
. What is the ratio of the number of moles of this
gas in the two containers, $
!
$
"
? Problem 3. (Properties of an Ideal Gas) A sample of ideal gas is in a sealed container. The temperature of the gas and the volume of
the container are both increased. What other properties of the gas necessarily change? More
than one answer may be correct. a. The average (or rms, root-mean-square) speed of the gas atoms. b. The thermal energy of the gas. c. The pressure of the gas.
d. The number of molecules of gas
Problem 4. (Volume of an Ideal Gas) What volume, in liters
, is occupied by 1 ����
of an ideal gas at a pressure of 1 atm and a
temperature of 0 °C
? (
1 = 1.01 × 10
���
% Pa
). Express your answer in liters to the tenth
decimal place. Problem 5. (An Ideal Gas Process) A. What is the ratio �
&
�
' ? for the process shown in the right? B. How much work is done in this process? Express your answer in joules
.
Problem 6. (Internal Energy, Work done, Heat flow in an
Ideal Gas Process) A cylinder with a moveable piston contains 0.016 mol of helium. A researcher expands the gas via a process show in the figure below. A. Using the ideal gas law, what is the initial temperature of the system? Express you answer in Kelvin
.
B. What is the final temperature of the system? Again, express your answer in Kelvin. C. What is the change in internal energy for the process? Remember the relation: Express your answer in joules
. Δ
�
'() = �
3
2 �
*
Δ
�
D. How much work is done by the gas during this process? This can be done by finding the
area underneath the curve by splitting it into a rectangle and a triangle. Again, express
your answer in joules
. E. Putting it all together, how much heat needs to be transferred into or out of the system?
Use positive for heat added to the system and negative for removed heat. Express you
answer in joules
. Problem 7. (The First Law of Thermodynamics)
500 J of work is done on a gas in a process that decreases the system’s thermal energy by 300 J
. A. During this process: a. Heat is absorbed by the system b. Heat is released by the system c. No heat is exchanged B. How much energy (in J
) is transferred to the system as heat? Write your answer in joules.
(Hint: Check the text to see how the signs of �
, �
, and Δ
�
are defined.) C. Is the gas expanding or contracting? a. Expanding b. Contracting D. Which of the following ideal-gas processes could this process be? Choose all that apply. a. Isobaric b. Isochoric c. Isothermal d. Adiabatic
Problem 8. (Work done on a gas) A gas in a cylinder with a movable piston occupies 50.0 cm
! at 50 °C
. The gas is cooled at constant pressure until the temperature reaches 10 °C
. A. What is the final volume? Express your answer in units of cubic centimeters. B. This change happens at a pressure of 1.5 atm
. How much work is done on the gas? Express your answer in joules
.
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Related Questions
a.) An ideal gas is in a sealed container. By what factor does the gas temperature change if the volume is halved and the pressure is tripled?
b.) An ideal gas is in a sealed container. By what factor does the gas temperature change if the volume is doubled and the pressure is tripled?
c.) If you have two jars containing the same amount, n1=n2, and type of gas (for example, oxygen) and they are at the same temperature, T, what can you say about their pressure if the first jar has four times the volume of the second, V1 = 4V2? Hint: use pV=nRT
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Consider an ideal gas with an absolute temperature of ?1.T1. To what temperature would the gas need to be heated to double its pressure? Express the answer in terms of ?1.T1.
?2=
Consider an ideal gas with a volume of ?1.V1. To what volume would the gas need to be compressed to double its pressure? Express the answer in terms of ?1.V1.
?2=V2=
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17. The value of y
with increase in the degree of freedom of an ideal
gas
a. Increases
b. Decreases
c. Remains constant
d. All the above
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Pr4. The pressure of an ideal gas in a closed rigid container is 0.6 atm at 35 degrees C. The number of
molecules is 5×1022 (one mole of gas contains 6 x 1023 molecules and 1 atm = 1.01 × 105 Pa)
a) What is the pressure in Pa and temperature in K of the gas?
b) How many moles of gas is in the container?
c) What is the volume of the container?
d) If the container is heated to 120 degrees C, and volume remains the same what is the pressure
of the gas in atm?
arrow_forward
P1. Consider a gas of oxygen atoms (H0, = 32 g/mol). What should the temperature of
the gas be for the mean square speed of the atoms to be v = 100 m/s? While keeping the
temperature the same as before, what should the pressure of the gas be for a container of
volume V = 51 to be able to contain m = 1 kg of oxygen? How much does the temperature
of the gas increase if the container is dropped on the ground at a speed of u = 2 m/s? You
may neglect thermal conduction with the outside.
arrow_forward
P1. Consider a gas of oxygen atoms (µo, = 32 g/mol). What should the temperature of
the gas be for the mean square speed of the atoms to be v = 100 m/s? While keeping the
temperature the same as before, what should the pressure of the gas be for a container of
volume V = 51 to be able to contain m =
1 kg of oxygen? How much does the temperature
of the gas increase if the container is dropped on the ground at a speed of u = 2 m/s? You
may neglect thermal conduction with the outside.
arrow_forward
9. For such a system, which of the following statements are providing information in the
experiments measuring pressure, volume, and temperature?
I. When the gas is kept at a constant temperature, its pressure is inversely proportional to the
volume.
II. When the pressure of the gas is kept constant, the volume is directly proportional to the
temperature.
III. When the volume of the gas is kept constant, the pressure is directly proportional to the
temperature.
a. I and III
b. I and II
c. II and III
arrow_forward
What is the density of diatomic nitrogen gas (N2) at a temperature of 20.00 C under a pressure of 100 kPa? The atomic mass of nitrogen is 14 g/mole.
a.
1.15 kg/m3
b.
1.97 kg/m3
c.
2.33 kg/m3
d.
2.76 kg/m3
e.
1.50 kg/m3
arrow_forward
14. A gas is in a sealed container. By what factor does the gas pressure change if:
a. The volume is tripled and the absolute temperature is doubled?
b. The volume is halved and the absolute temperature is doubled?
15. A gas is in a scaled container. By what factor does the absolute gas temperature change if:
a, The volume is tripled and the pressure is doubled?
b. The volume is halved and the pressure is doubled?
16. The gas inside in a cylinder is heated, causing a piston in the cylinder to move outward. The heating
causes the temperature to double and the length of the cylinder to triple. By what factor does the gas
pressure change?
arrow_forward
QUESTION 10
What is the density of diatomic nitrogen gas (N2) at a
temperature of 20.00 C under a pressure of 100 kPa? The
atomic mass of nitrogen is 14 g/mole.
a. 1.97 kg/m³
,3
b.
1.15 kg/m3
C. 2.33 kg/m3
d.
1.50 kg/m3
O e. 2.76 kg/m3
arrow_forward
A 5.00-mol sample of oxygen gas is confined to a pressure of 5 atm at a temperature of 27 degrees Celsius.
Given the molar mass of oxygen gas as 32.0 g/mol, what is the mass per oxygen molecule in kg?
a. 5.32 x10⁻²⁰ kg
b. 5.32 x10⁻²³ kg
c. 5.32 x10⁻²⁶ kg
d. 5.32 x10⁻²⁹ kg
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The rms speed of an oxygen molecule (O2) in a container of oxygen gas is 625 m/s. What is the temperature of the gas?
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An ideal gas is placed in a piston at 0°C under 1 atm pressure. How does the density of this gas change when the temperature is increased to 546°C while the pressure is increased to 3 atm? (Kelvin = 273 + Celcius)
a.No change
b.273/2 times increase
c.2 times increase
d.273/2 times decrease
e.273 times decrease
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Which of the following is true about a real gas?
A. The attractive forces among the gas particles become significant.
B. The kinetic energy of the gas particles does not change during collisions.
C. The space that the gas particles occupy is too small compared to the total volume.
D. The gas particles move only in linear paths.Please explain, thank you.
arrow_forward
2.
Gas volume in liters vs. gas pressure in atmospheres
Volume (L)
Pressure (atm)
5.0
6.35
10.0
16.7
25.0
10.0
8.0
5.0
3.0
2.0
a.
What type of relationship does this graph represent (Direct, Indirect, other)?
b.
What will be the pressure (atm) when the gas volume (L) is:
(1)
7.5 L_
7ahm
(2)
4.0 L
(3)
2.5 L
What will be the volume (L) of the gas when the pressure (atm) is:
C.
(1) 15 atm
(2)
8 atm
(3)
20 atm
Cairte
Page 10 of 12
Lab 2
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10 moles of an ideal gas are confined to a volume of 2 m^3. What is the temperature of the gas if its pressure is 10^5 Pa? (kb = 1.38 * 10^-23 J/k, and R = 8.315 J/mol k)
a. 300 K
b. 2405 K
c. 1.4*10^27 K
d. 2.4 K
arrow_forward
5. A gas with volume V, pressure P, and temperature T is inside a container with a moveable piston. No gas is leaking from the container as the temperature of gas is quadrupled while the volume is doubled. What will be the new pressure?
A. 2P
B. P
C. 1/2 P
D. 8P
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Two gases have the same number of molecules per cubic meter (N/V) and the same rms speed. The molecules of gas 2 are more massive than the molecules of gas 1.a. Do the two gases have the same pressure? If not, which is larger?b. Do the two gases have the same temperature? If not, which is larger?
arrow_forward
7
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7. A container gas has a maximum capacity of 100 L. Ten moles of helium are introduced to the container at a pressure of 40 atm. What is the temperature of the gas?
arrow_forward
7. If I have an unknown quantity of gas held at a temperature of 1195 K in a container with a
volume of 25 liters and a pressure of 560 atm, how many moles of
a. 143.0mol
gas do I have?
d. 0.3457mol
b. 0.01004mol
C. 146.0mol
8.
If I have 21 males of g3s held at a
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Q3.
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Consider an ideal gas with an absolute temperature of T1. To A) what temperature would the gas need to be heated to double it’s pressure? Express the answer in terms of T1
B) consider an ideal gas with a volume of V1. To what volume would the gas need to be compressed to double it’s pressure? Express the answer in terms of V1
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