Questions: If the pressure of a gas sample is increased, Amonton's Law states that the temperature of the gas will - increase decrease stay the same

If the pressure of a gas sample is increased, Amonton's Law states that the temperature of the gas will - increase decrease stay the same
Transcript text: If the pressure of a gas sample is increased, Amonton's Law states that the temperature of the gas will $\qquad$ - increase decrease stay the same
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Solution

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Solution Steps

Step 1: Understanding Amonton's Law

Amonton's Law, also known as Gay-Lussac's Law, states that for a given amount of gas at constant volume, the pressure of the gas is directly proportional to its absolute temperature. This can be expressed mathematically as:

\[ P \propto T \]

or

\[ \frac{P_1}{T_1} = \frac{P_2}{T_2} \]

where \( P \) is the pressure, \( T \) is the temperature in Kelvin, and the subscripts 1 and 2 refer to the initial and final states of the gas, respectively.

Step 2: Analyzing the Effect of Increased Pressure

According to Amonton's Law, if the pressure of a gas sample is increased while keeping the volume constant, the temperature must also increase to maintain the proportionality. This is because the pressure and temperature are directly related.

Final Answer

The temperature of the gas will increase when the pressure is increased, according to Amonton's Law. Therefore, the answer is:

\[ \boxed{\text{increase}} \]

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