Which of the following statements is true?
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Correct Answer: Option D
Explanation:
The correct answer is D: an increase in the pressure of a gas is proportional to the decrease in volume at constant temperature.
This statement is based on Boyle's Law, which states that for a given amount of gas at constant temperature, the pressure and volume are inversely proportional. In other words, if the pressure of a gas increases, its volume decreases, and if the pressure decreases, the volume increases, as long as the temperature is held constant.
Mathematically, this is expressed as:
\[ P \times V = \text{constant} \]
where P is the pressure and V is the volume of the gas.
So, an increase in pressure leads to a decrease in volume when the temperature remains constant, making option D the correct statement.
The correct answer is D: an increase in the pressure of a gas is proportional to the decrease in volume at constant temperature.
This statement is based on Boyle's Law, which states that for a given amount of gas at constant temperature, the pressure and volume are inversely proportional. In other words, if the pressure of a gas increases, its volume decreases, and if the pressure decreases, the volume increases, as long as the temperature is held constant.
Mathematically, this is expressed as:
\[ P \times V = \text{constant} \]
where P is the pressure and V is the volume of the gas.
So, an increase in pressure leads to a decrease in volume when the temperature remains constant, making option D the correct statement.