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From the reaction: B2H6 + O2 HBO2 + H2O a. What mass of O2 will be needed to burn 36.1 g of B2H6? b. How many moles of water are produced from 19.2 g of B2H6?

Sagot :

A. The mass of O₂ needed to burn 36.1 g of B₂H₆ is 123.77 g

B. The number of mole of water, H₂O produced from 19.2 g of B₂H₆ is 1.372 mole

Balanced equation

B₂H₆ + 3O₂ —> 2HBO₂ + 2H₂O

Molar mass of B₂H₆ = (2×11) + (1×6) = 28 g/mol

Mass of B₂H₆ from the balanced equation = 1 × 28 = 28 g

Molar mass of O₂ = 2 × 16 = 32 g/mol

Mass of O₂ from the balanced equation = 3 × 32 = 96 g

SUMMARY

From the balanced equation above,

28 g of B₂H₆ required 96 g of O₂

A. How to determine the mass of O₂ needed

From the balanced equation above,

28 g of B₂H₆ required 96 g of O₂

Therefore

36.1 g of B₂H₆ will require = (36.1 × 96) / 28 = 123.77 g of O₂

Thus, 123.77 g of O₂ is required for the reaction

B. How to determine the mole of water produced

We'll begin by calculating the number of mole of in 19.2 g of B₂H₆. This can be obtained as follow:

  • Mass of B₂H₆ = 19.2 g
  • Molar mass of B₂H₆ = 28 g/mol
  • Mole of B₂H₆ =?

Mole = mass / molar mass

Mole of B₂H₆ = 19.2 / 28

Mole of B₂H₆ = 0.686 mole

Finally, we shall determine the number of mole of water produced. This is illustrated below:

Balanced equation

B₂H₆ + 3O₂ —> 2HBO₂ + 2H₂O

From the balanced equation above

1 mole of B₂H₆ reacted to produce 2 moles of H₂O

Therefore, H₂O

0.686 mole of B₂H₆ will react to produce = 0.686 × 2 = 1.372 mole of H₂O

Thus, 1.372 mole of H₂O was obtained from the reaction

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