Question

How will the volume of a gas be affected if the pressure is tripled, but the temperature remains the same?

Answer 1

The volume is directly proportional to the temperature and inversely proportional to the pressure. If the volume is tripled, the volume decreases to one third the original volume. And if the temperature is doubled, the volume increases to twice the original volume.

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Answer 2

The new volume of gas is reduced by a factor of 3.

Explanation:

To calculate the final volume of the gas, we use the equation given by Boyle's Law. This law states that volume of the gas is inversely proportional to the pressure of the gas at constant temperature.

Mathematically,

$P_1V_1=P_2V_2$

where,

$P_1\text{ and }V_1$ are the initial pressure and volume of the gas.

$P_2\text{ and }V_2$ are the final pressure and volume of the gas.

We are given:

$P_1=P_1\\V_1=V_1\\P_2=3P_1\\V_2=?$

Putting values in above equation, we get:

$P_1\times V_1=3P_1\times V_2\\\\V_2=\frac{P_1\times V_1}{3P_1}=\frac{V_1}{3}$

Learn more about Boyle's Law:

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