Question

the average molar mass of mixture containing 2 mol of NH3, 1 mol of CH4 and 2 mol of unknown gas is 40g/mol.what is molar mass of unknown gas (in g/mol)

Answer 1

Answer:

4 mol

Explanation:

the average molar mass of mixture containing 2 mol of 1 mol and 2 mol of unknown gas is 20g/mol

Answer 2

The molar mass of unknown gas is 75 g/mol.

The average molar mass of mixture containing 2 mol of NH₃, 1 mol of CH₄ and 2 mol of unknown gas is 40g/mol.

We have to find the molar mass of unknown gas in g/mol.

The average molar mass of mixture of n₁ mol of M₁ , n₂ mol of M₂ , n₃ mol of M₃ is given by,

   $M=\frac{n_1M_1+n_2M_2+n_3M_3}{n_1+n_2+n_3}$

Here,

• n₁ = no of moles  of NH₃ =  2 mol
• n₂ = no of moles  of CH₄ =  1 mol
• n₃ = no of moles of unknown gas =  2 mol
• M₁ = molar mass of NH₃ = 17g/mol
• M₂ = molar mass of CH₄ = 16 g/mol
• M₃ = ?
• M = average molar mass of mixture

40 = (2 × 17 + 1 × 16 + 2 × M₃)/(2 + 1 + 2) = (50 + 2M₃)/5

⇒ 40 × 5 = 200 = 50 + 2M₃

⇒ M₃ = 75 g/mol

Therefore the molar mass of the unknown gas is 75g/mol.

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