What happens to the density of a gas when the pressure is doubled?

What happens to the density of a gas when the pressure is doubled?

• A. The gas becomes half as dense
• B. The gas becomes twice as dense
• C. The gas remains the same density
• D. The gas becomes three times as dense

Answer: (B)

When the pressure of a gas is doubled, the density of that gas also increases. This relationship can be explained through the ideal gas law, which states that the pressure of a gas is directly proportional to its density when temperature is held constant. Density (ρ) can be expressed in terms of mass (m) and volume (V) using the formula ρ = m/V. For an ideal gas, if the volume of the gas remains constant while doubling the pressure, the amount of gas (mass) does not change, leading to an increase in density. Specifically, if you double the pressure while keeping the temperature constant, the gas will occupy a smaller volume, resulting in increased density. Thus, the correct conclusion is that the gas becomes twice as dense. This understanding is crucial in various applications, including predicting how gas behaves under different pressure conditions in aviation and other fields.

When the pressure of a gas is doubled, the density of that gas also increases. This relationship can be explained through the ideal gas law, which states that the pressure of a gas is directly proportional to its density when temperature is held constant.

Density (ρ) can be expressed in terms of mass (m) and volume (V) using the formula ρ = m/V. For an ideal gas, if the volume of the gas remains constant while doubling the pressure, the amount of gas (mass) does not change, leading to an increase in density.

Specifically, if you double the pressure while keeping the temperature constant, the gas will occupy a smaller volume, resulting in increased density. Thus, the correct conclusion is that the gas becomes twice as dense. This understanding is crucial in various applications, including predicting how gas behaves under different pressure conditions in aviation and other fields.