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# Air in a sealed syringe is slowly compressed by moving the piston. The temperature of the air stays the same. Which statement about the air is correct?(A) The pressure of the air increases because its molecules now travel more slowly.(B) The pressure of the air increases because the area of the syringe walls is now smaller.(C) The pressure of the air increases because its molecules now hit the syringe walls more frequently(D) The pressure of the air increases because its molecules now travel more quickly.

Last updated date: 20th Jun 2024
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Hint: The ideal gas equation states that $PV = nRT$. The temperature is constant so the process is isothermal. The right hand side of the equation becomes constant as n, T and R are constant so,
$PV = const$
So, the volume is decreased so the pressure has to increase to keep the product of pressure and volume constant.

$PV = nRT$
$PV = const$