If the pressure of an ideal gas is doubled and its volume is halved at constant temperature, what happens to the number of moles (n)?
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A.
It doubles.
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B.
It becomes zero.
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C.
It becomes half.
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D.
It remains the same.
Correct Answer:
D. It remains the same.
Explanation:
According to the ideal gas law (PV = nRT), if the temperature remains constant, the product of pressure and volume is proportional to the number of moles. In this scenario, doubling the pressure (2P) while simultaneously halving the volume (1/2 V) results in the same product (PV), meaning the amount of gas remains unchanged. Therefore, the number of moles stays constant throughout the process.
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