Question

If CO₂ and NH3 are allowed to effuse through a container under identical conditions, the rate of effusion for NH3 will be _________ times faster than CO₂. The molar mass of CO₂ is 44.)g/mol and the molar mass of NH3 17.0g/mol

Answer 1

The rate of effusion for NH3 will be approximately 1.61 times faster than CO2 under identical conditions, as calculated using Graham's law of effusion.

Step-by-step explanation:

If CO₂ (carbon dioxide) and NH₃ (ammonia) are allowed to effuse through a container under identical conditions, the rate of effusion for NH₃ will be determined by Graham's law of effusion. According to this law, the rate of effusion is inversely proportional to the square root of the gas's molar mass.

Using the formula given by Graham's law:

Rate of effusion of NH₃ / Rate of effusion of CO₂ = √(Molar mass of CO₂ / Molar mass of NH₃)

Plugging in the molar masses:

Rate of effusion of NH₃ / Rate of effusion of CO₂ = √(44.0 g/mol / 17.0 g/mol) = √(44.0 / 17.0)

Calculating, we get:

Rate of effusion of NH₃ / Rate of effusion of CO₂ = √(2.588) ≈ 1.61

Therefore, NH₃ will effuse approximately 1.61 times faster than CO₂ under identical conditions.