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What will happen to the pressure of a gas if the temperature decreases

Question

What will happen to the pressure of a gas if the temperature decreases

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Solution

The pressure of a gas is directly proportional to its temperature, according to Gay-Lussac's law in physics. This means that if the temperature of a gas decreases, the pressure also decreases, provided the volume of the gas remains constant.

Here are the steps to understand this:

  1. Gay-Lussac's law states that the pressure of a gas is directly proportional to its absolute temperature. This is expressed as P/T = k, where P is the pressure, T is the temperature, and k is a constant.

  2. If the temperature decreases, the value of T in the equation decreases.

  3. Since P is directly proportional to T, a decrease in T will cause a decrease in P to maintain the equality of the equation.

  4. Therefore, if the temperature of a gas decreases, its pressure also decreases, assuming the volume doesn't change.

Remember, this is a simplified explanation. Real gases may not behave exactly like this due to intermolecular forces and molecular size.

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