Air in a cylinder is suddenly compressed by a piston, which is then maintained at the same position, with the passage of timeA The pressure decreasesB The pressure increasesC The pressure remain constant D The pressure may increase depending upon the nature of the gas
Question
Air in a cylinder is suddenly compressed by a piston, which is then maintained at the same position, with the passage of timeA The pressure decreasesB The pressure increasesC The pressure remain constant D The pressure may increase depending upon the nature of the gas
Solution
The answer is C. The pressure remains constant. When the air in a cylinder is suddenly compressed by a piston and the piston is then maintained at the same position, the volume of the air is reduced. According to Boyle's law, the pressure of a given amount of gas held at a constant temperature varies inversely with the volume. So, when the volume is reduced, the pressure increases. However, once the piston is held at the same position, the volume doesn't change anymore. Therefore, the pressure also remains constant.
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