Question

Phosphine (PH3) can be prepared by the reaction of calcium phosphide , Ca3P2: based on this equation : Ca3P2 + 6H2O —-> 3 Ca(OH)2 + 2 PH3
Based on this equation , which of the following statements are correct?
(a) one mole of Ca3P2 produces 2 mol of PH3
(b) one gram of Ca3P2 produces 2g of PH3
(c) Three moles of Ca(OH)2 are produced for each 2 mol of PH3 produced
(d) the mole ratio between phosphine and calcium phosphide is 2 mol PH3 over 1 mol Ca3P2

Answer 1

Taking into account the reaction stoichiometry, you can observe that:

• one mole of Ca₃P₂ produces 2 mol of PH₃.
• the mole ratio between phosphine and calcium phosphide is 2 mol PH₃ over 1 mol Ca₃P₂.

Reaction stoichiometry

In first place, the balanced reaction is:

Ca₃P₂ + 6 H₂O  → 3 Ca(OH)₂ + 2 PH₃

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

• Ca₃P₂:1 mole
• H₂O: 6 moles
• Ca(OH)₂: 3 moles
• PH₃: 2 moles

The molar mass of the compounds is:

• Ca₃P₂: 182 g/mole
• H₂O: 18 g/mole
• Ca(OH)₂: 74 g/mole
• PH₃: 34 g/mole

Then, by reaction stoichiometry, the following mass quantities of each compound participate in the reaction:

• Ca₃P₂: 1 mole ×182 g/mole= 182 grams
• H₂O: 6 moles× 18 g/mole= 108 grams
• Ca(OH)₂: 3 moles ×74 g/mole= 222 grams
• PH₃: 2 moles ×34 g/mole= 68 grams

Correct statements

Then, by reaction stoichiometry, you can observe that:

• one mole of Ca₃P₂ produces 2 mol of PH₃.
• the mole ratio between phosphine and calcium phosphide is 2 mol PH₃ over 1 mol Ca₃P₂.

Learn more about the reaction stoichiometry:

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