First Law of Thermodynamics
Q. What happens to the internal energy of a gas when it is allowed to expand freely into a vacuum?
A.
Increases
B.
Decreases
C.
Remains constant
D.
Depends on the initial temperature
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Solution
In free expansion, no work is done and no heat is exchanged, so the internal energy remains constant.
Correct Answer: C — Remains constant
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Q. What happens to the internal energy of an ideal gas when it is compressed adiabatically?
A.
It increases
B.
It decreases
C.
It remains constant
D.
It depends on the initial temperature
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Solution
In an adiabatic compression, work is done on the gas, which increases its internal energy.
Correct Answer: A — It increases
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Q. What is the significance of the First Law of Thermodynamics?
A.
It defines the concept of temperature
B.
It establishes the conservation of energy principle
C.
It describes the behavior of gases
D.
It relates pressure and volume
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Solution
The First Law of Thermodynamics establishes the conservation of energy principle, stating that energy cannot be created or destroyed.
Correct Answer: B — It establishes the conservation of energy principle
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Q. What is the work done by a gas during an isobaric expansion?
A.
Zero
B.
PΔV
C.
ΔU
D.
Q
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Solution
In an isobaric process, the work done by the gas is given by W = PΔV, where P is the pressure and ΔV is the change in volume.
Correct Answer: B — PΔV
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Q. What is the work done by a gas during expansion against a constant external pressure?
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Solution
The work done by a gas during expansion against a constant external pressure is given by W = PΔV, where P is the pressure and ΔV is the change in volume.
Correct Answer: A — PΔV
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Q. What is the work done by a gas during expansion at constant pressure?
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Solution
The work done by a gas during expansion at constant pressure is given by W = PΔV.
Correct Answer: A — PΔV
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Q. What is the work done by a gas during isothermal expansion?
A.
Zero
B.
Depends on the temperature
C.
Is equal to the heat absorbed
D.
Is equal to the change in internal energy
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Solution
During isothermal expansion, the work done by the gas is equal to the heat absorbed, as the internal energy remains constant.
Correct Answer: C — Is equal to the heat absorbed
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Q. What is the work done by the system during an isochoric process?
A.
Positive
B.
Negative
C.
Zero
D.
Depends on the temperature
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Solution
In an isochoric process, the volume remains constant, so no work is done by the system (W = PΔV = 0).
Correct Answer: C — Zero
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Q. What is the work done by the system in an isochoric process?
A.
Positive
B.
Negative
C.
Zero
D.
Depends on the temperature
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Solution
In an isochoric process, the volume remains constant, so no work is done by the system (W = PΔV = 0).
Correct Answer: C — Zero
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Q. What is the work done by the system when it expands against a constant external pressure?
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Solution
The work done by the system during expansion against a constant external pressure is given by W = PΔV.
Correct Answer: A — PΔV
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Q. What is the work done on a gas during an isochoric process?
A.
Positive
B.
Negative
C.
Zero
D.
Depends on the gas
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Solution
In an isochoric process, the volume remains constant, which means no work is done on or by the gas. Therefore, the work done is zero.
Correct Answer: C — Zero
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Q. Which of the following is an example of an adiabatic process?
A.
Heating water in a kettle
B.
Compressing a gas in a piston without heat exchange
C.
Cooling a gas in a refrigerator
D.
Heating a metal rod in a flame
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Solution
An adiabatic process is one in which no heat is exchanged with the surroundings. Compressing a gas in a piston without heat exchange is an example.
Correct Answer: B — Compressing a gas in a piston without heat exchange
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Q. Which of the following processes is not a thermodynamic process?
A.
Isothermal
B.
Adiabatic
C.
Isochoric
D.
Static
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Solution
A static process does not involve any change in state variables, hence it is not considered a thermodynamic process.
Correct Answer: D — Static
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Q. Which of the following processes is not governed by the First Law of Thermodynamics?
A.
Isothermal expansion
B.
Adiabatic compression
C.
Isochoric heating
D.
None of the above
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Solution
All the listed processes are governed by the First Law of Thermodynamics, so the answer is 'None of the above'.
Correct Answer: D — None of the above
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Q. Which of the following statements is NOT a consequence of the first law of thermodynamics?
A.
Energy can be converted from one form to another
B.
The total energy of an isolated system is constant
C.
Heat can spontaneously flow from cold to hot
D.
Work done on a system increases its internal energy
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Solution
The first law states that energy is conserved, and heat cannot spontaneously flow from cold to hot without work being done.
Correct Answer: C — Heat can spontaneously flow from cold to hot
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Q. Which of the following statements is true regarding the first law of thermodynamics?
A.
It applies only to closed systems.
B.
It is a statement of conservation of energy.
C.
It can be violated under certain conditions.
D.
It only applies to mechanical systems.
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Solution
The first law of thermodynamics is a statement of conservation of energy, applicable to all thermodynamic systems.
Correct Answer: B — It is a statement of conservation of energy.
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