Question

For a given mass of an ideal gas, which of the following statements is CORRECT?

Options

• At a constant temperature, the pressure is directly proportional to the density of a gas.

• At a constant temperature, the pressure is directly proportional to the volume on a gas.

• At a constant pressure, the volume is inversely proportional to the temperature of a gas.

• At a constant volume, pressure is inversely proportional to the temperature of a gas.

Answer 1

At a constant temperature, the pressure is directly proportional to the density of a gas.

Explanation:

According to Boyle's law, at a constant temperature for a given mass of an ideal gas, pressure is inversely proportional to the volume.

`"P" ∝ 1/"V"`

∴ `"P" ∝ 1/(("m"//"d"))`

∴ `"P" ∝ "d"/"m"`

∴ `"P" ∝ "d"` .......(∵ m = constant)