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WorksheetsThe Kinetic Theory of Gases
Total questions: 11
Worksheet time: 33mins
A container having a volume of 1.0 m³ holds 5.0 moles of helium gas at 50°C. If the helium behaves like an ideal gas, the total energy of the system is
2.0 × 10⁴J
2.5 × 10⁴J
1.7 × 10³J
1.5 × 10³J
A container having a volume of 1.0 m³ holds 5.0 moles of helium gas at 50°C. If the helium behaves like an ideal gas, the average kinetic energy per molecule is
6.7 × 10−²¹ J
1.0 × 10−²¹J
1.0 × 10−²⁰J
6.7 × 10−²¹ J
Suppose a box contains about 5.0 × 10²¹ hydrogen atoms at room temperature (21°C). Determine the thermal energy of these atoms.
10 J
20 J
30 J
5J
The internal energy of n moles of an ideal gas depends on
one state variable T.
two state variables T and V.
two state variables T and P.
three state variables T, P and V
Which statement below is NOT an assumption made in the molecular model of an ideal gas?
The average separation between molecules is large compared with the dimensions of the molecules.
The molecules undergo inelastic collisions with one another.
The forces between molecules are short range
The molecules obey Newton's laws of motion
If the rms speed of helium atoms is vrms,He at temperature T, what is the rms speed of CO₂ at the same temperature?
Vrms,He/44
Vrms,He/11
Vrms,He/√44
Vrms,He/√11
Find the specific heat (in cal/mole K) of a gas kept at constant volume when it takes 1.0 × 10⁴ J of heat to raise the temperature of 5.0 moles of the gas 200 K above the initial temperature.
7.5
5.0
2.4
10
The theorem of equipartition of energy states that the energy each degree of freedom contributes to each molecule in the system (an ideal gas) is
(1/2)mv²
(1/3)kbT
(1/2)kbT
(3/2)kbT
The air in an automobile engine at 20°C is compressed from an initial pressure of 1.0 atm and a volume of 200 cm³ to a volume of 20 cm³. Find the temperature if the air behaves like an ideal gas (γ = 1.4) and the compression is adiabatic.
730°C
460°C
25°C
50°C
During an adiabatic compression, a volume of air decreases to 1/4 its original size. Calculate its final pressure if its original pressure was 1 atm. (Assume the air behaves like an ideal gas with γ = 1.4.)
7.0 atm
5.6 atm
3.5 atm
2.2 atm
If Cp for an ideal gas is 35.4 J/mol⋅K, which of the following is Cv for this gas?
12.5 J/mol⋅K
20.8 J/mol⋅K
29.1 J/mol⋅K
27.1 J/mol⋅K
