Adiabatic Processes
An ideal gas undergoes reversible adiabatic compression. Which of the following correctly describes the thermodynamic changes during this process?
Select the correct option:
Solution
Temperature increases, internal energy increases, \(q = 0\)
An adiabatic process is defined as one in which no heat is exchanged between the system and its surroundings, so (q = 0) by definition. Applying the first law: (\Delta \cup = q - w = 0 - w = -w). During compression, work is done ON the gas by the surroundings, so (w < 0) (work done by the system is negative in compression). Therefore (\Delta \cup = -w > 0), meaning internal energy increases. For an ideal gas, internal energy depends only on temperature, so an increase in (U) implies an increase in (T). This is why a bicycle pump gets warm during rapid inflation — an example of adiabatic compression. Option B describes adiabatic expansion, not compression. Option C is wrong because heat exchange (q > 0) contradicts the adiabatic condition. Option D would apply to an isothermal process for an ideal gas, not an adiabatic one. This is a concept-rich NCERT topic distinguishing adiabatic from isothermal processes. Plausibility check: compressing any gas does work on it, increasing its energy and temperature, regardless of the working substance.
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About This Question
- Subject
- chemistry
- Chapter
- chemical thermodynamics
- Topic
- adiabatic processes
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
Temperature increases, internal energy increases, \(q = 0\)
An adiabatic process is defined as one in which no heat is exchanged between the system and its surroundings, so (q = 0) by definition. Applying the first law: (\Delta \cup = q - w = 0 - w = -w). During compression, work is done ON the gas by the surroundings, so (w < 0) (work done by the system is negative in compression). Therefore (\Delta \cup = -w > 0), meaning internal energy increases. For an ideal gas, internal energy depends only on temperature, so an increase in (U) implies an increase in (T). This is why a bicycle pump gets warm during rapid inflation — an example of adiabatic compression. Option B describes adiabatic expansion, not compression. Option C is wrong because heat exchange (q > 0) contradicts the adiabatic condition. Option D would apply to an isothermal process for an ideal gas, not an adiabatic one. This is a concept-rich NCERT topic distinguishing adiabatic from isothermal processes. Plausibility check: compressing any gas does work on it, increasing its energy and temperature, regardless of the working substance.
This easy difficulty chemistry question is from the chapter chemical thermodynamics, covering the topic of adiabatic processes. It appeared in the 2025 exam.
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