Per Gay-Lussac's law for a perfect gas, the absolute pressure of a fixed mass is directly proportional to____________________?
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Answer: C. absolute temperature, if volume is kept constant
Explanation
Gay-Lussac law establishes a direct proportionality between absolute pressure and absolute temperature for a fixed mass. Keeping volume constant ensures that molecular collision frequency depends exclusively on thermal energy changes within the system. The correct option correctly highlights both the required constant volume condition and the absolute temperature scale. Gay-Lussac law is a fundamental gas law formulated by French chemist Joseph Louis Gay-Lussac. Mathematically, the relationship is expressed as pressure divided by temperature equals a constant value. Calculations involving this law require temperatures to be measured in Kelvin rather than Celsius degrees.
This principle explains why sealed aerosol cans can explode when exposed to extremely high temperatures. Engineers use this relationship to predict pressure variations inside rigid pressure vessels during thermal cycles. Understanding gas laws is essential for designing safe industrial boilers and internal combustion engines. Option A is incomplete because it omits the necessary condition regarding constant volume constraints. Option D describes Boyle law rather than Gay-Lussac law because it holds temperature constant instead. Option E contradicts the fundamental premise by suggesting pressure remains constant despite temperature increases.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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