the empirical formula of benzene is CH (its molecular formula os C6H6). If 10.00 mg of benzene is subjected to combustion analysis, what mass of CO2 and H2O would be produced____________.

Respuesta :

Answer:

There would be produced 0.00691 g of water and 0.034 g of CO₂

Explanation:

Combustion for benzene is:

2C₆H₆  +  15O₂  →  12CO₂  +  6H₂O

2 moles of benzene react with 15 moles of oxygen to produce 6 moles of water and 12 moles of carbon dioxide.

Let's convert the mg to moles; previously we should convert mg to g

10 mg = 0.010 g

0.01 g / 78 g/m = 1.28×10⁻⁴ moles

Let's identify ratios. Ratio with CO₂ is 2:12 and 2:6 with water

2 moles of benzene react to produce 12 moles of CO₂

Then 1.28×10⁻⁴ mol of C₆H₆ would produce (1.28×10⁻⁴ . 12)/ 2 = 7.69×10⁻⁴ moles of CO₂.

2 moles of benzene react to produce 6 moles of water

Then 1.28×10⁻⁴ mol of C₆H₆ would produce (1.28×10⁻⁴ . 6) /2 = 3.84×10⁻⁴  moles of water

Let's convert the moles to mass (mol . molar mass)

7.69×10⁻⁴ moles of CO₂  . 44g/m = 0.034 g

3.84×10⁻⁴  moles of water . 18 g/m = 0.00691 g

A. The mass of carbon dioxide (CO₂) produced is 33.84 mg

B. The mass of water (H₂O) produced is 6.92 mg

Balanced equation

2C₆H₆ + 15O₂ → 12CO₂ + 6H₂O

Molar mass of C₆H₆ = (12×6) + (1×6) = 78 g/mol

Mass of C₆H₆ from the balanced equation = 2 × 78 = 156 g

Molar mass of CO₂ = 12 + (16×2) = 44 g/mol

Mass of CO₂ from the balanced equation = 12 × 44 = 528 g

Molar mass of H₂O = (2×1) + 16 = 18 g/mol

Mass of H₂O from the balanced equation = 6 × 18 = 108 g

SUMMARY

From the balanced equation above,

156 g of C₆H₆ reacted to produce 528 g of CO₂ and 108 g of H₂O

A. How to determine the mass CO₂ produced

From the balanced equation above,

156 g of C₆H₆ reacted to produce 528 g of CO₂.

Therefore,

10 mg of C₆H₆ will react to produce = (10 × 528) / 156 = 33.84 mg of CO₂.

Thus, 33.84 mg of CO₂ were produced from the reaction.

B. How to determine the mass of H₂O produced

From the balanced equation above,

156 g of C₆H₆ reacted to produce 108 g of H₂O.

10 mg of C₆H₆ will react to produce = (10 × 108) / 156 = 6.92 mg of H₂O

Thus, 6.92 mg of H₂O were produced from the reaction.

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