Explain how the rate of diffusion of a gas is related to its molar mass. carbon dioxide gas (co2) effuses 3.2 times faster than an unknown gas. determine the molar mass of the unknown gas. show your work or explain your answer, giving specific values used to determine the answer.

1. The rate of diffusion of gas is inversely proportional to the mean square root of molar mass of the gas.

2. 450.56 g/mol.

Explanation:

1. Explain how the rate of diffusion of a gas is related to its molar mass.

∨ ∝ 1/√M.

where, ∨ is the rate of diffusion of the gas.

M is the molar mass of the gas.

2. Carbon dioxide gas (CO₂) effuses 3.2 times faster than an unknown gas. Determine the molar mass of the unknown gas.

∵ ∨₁/∨₂ = √(M₂/M₁).

∨₁ is the rate of effusion of CO₂ gas.

∨₂ is the rate of effusion of the unknown gas.

M₁ is the molar mass of CO₂ gas (M₁ = 44.0 g/mol).

M₂ is the molar mass of the unknown gas (M₂ = ??? g/mol).

∨₁/∨₂ = 3.2.

∵ ∨₁/∨₂ = √(M₂/M₁)

∴ (3.2) =√(M₂)/(44.0 g/mol)

By squaring the both sides:

∴ (3.2)² = (M₂)/(44.0 g/mol)

∴ M₂ = (3.2)²(44.0 g/mol) = 450.56 g/mol.

answer

fusion: the energy source of stars. the energy released from the collapse of the gas into a protostar causes the center of the protostar to become extremely hot. when the core is hot enough, nuclear fusion commences. fusion is the process where two hydrogen atoms combine to form a helium atom, releasing energy.

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