At constant pressure and volume, the density of a gas _____ as the molar mass increases. A gas made of heavier particles will have a _____ density than a gas composed of lighter particles under the same conditions of temperature and pressure.

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Answer:

Increases, higher

Explanation:

Remember that the formula for Density is D=mass/volume.

If volume remains the same, as mass increases the density will also increase as the numerator of this math problem increases while the denominator remains the same.

(a) At constant pressure and volume, the density of a gas increases as the molar mass increases.

(b) A gas made of heavier particles will have a greater density than a gas composed of lighter particles under the same conditions of temperature and pressure.

Ideal gas equation

The relationship between density and molar mass is given in the following equations;

PV = nRT

PV = (m/M) RT

PV = (ρV/M)RT

P = (ρ/M)RT

P = (ρRT)/M

PM = ρRT

where;

  • P is pressure
  • ρ is density
  • M is molar mass

Thus, we can conclude that, at constant pressure and volume, the density of a gas increases as the molar mass increases.

A gas made of heavier particles will have a greater density than a gas composed of lighter particles under the same conditions of temperature and pressure.

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