Question

Question 12 Ti + 3 Ca(OH)22 Ti(OH)3 + 3 CaIf 125 grams of calcium hydroxide is reacted, how much calcium metal will be produced?134 grams67.6 grams22.5 grams203 grams

Answer 1

67.57g of calcium metal will be produced.

1st) We need the balanced reaction and the molar mass of calcium hydroxide and calcium metal:

`2Ti+3Ca(OH)_2\text{ }\rightarrow2Ti(OH)_3\text{ + 3 Ca}`

- Ca molar mass: 40 g/mol

- Ca(OH)2 molar mass: 74 g/mol

According to the balanced reaction, we know that 3 moles of calcium hydroxide produces 3 moles of calcium metal.

With the molar mass of the compounds we can convert moles to grams, so we can see that 222g of calcium hydroxide (3 x 74g) can produce 120g of calcium metal (3 x 40g).

2nd) Now we can calculate the amount of calcium metal that will be produced from 125 grams of calcium hydroxide, with a mathematical Rule of Three:

`\begin{gathered} 222gCa(OH)_2-120gCa \\ 125gCa(OH)_2-x=(125g\cdot120g)/(222g) \\ x=67.57gCa \end{gathered}`

Finally, 67.57g of calcium metal will be produced from 125g of calcium hydroxide.