Respuesta :
55.83 grams is the mass of Calcium Phosphate will be formed according to the reaction when 75.2 grams of Calcium Sulfate are reacted with an unlimited amount of Sodium Phosphate.
Explanation:
Data given:
mass of calcium sulphate reacted= 75.2 grams
atomic mass of calcium sulphate = 136.14 grams/mole
balanced chemical reaction equation:
3CaS[tex]O_{4}[/tex] +2 [tex]Na_{3}[/tex] (P[tex]O_{4}[/tex])[tex]_{2}[/tex] ⇒ [tex]Ca_{3}[/tex] (P[tex]O_{4}[/tex])[tex]_{2}[/tex] + 3[tex]Na_{2}[/tex]S[tex]O_{4}[/tex]
number of moles of calcium phosphate given will be calculated as:
number of moles = [tex]\frac{mass}{atomic mass of 1 mole}[/tex]
putting the values in the above formula, we get
number of moles = [tex]\frac{75.2}{136.4}[/tex]
= 0.55 moles of CaS[tex]O_{4}[/tex] is given
From the balanced equation:
3 moles of CaS[tex]O_{4}[/tex] reacts to give 1 mole of calcium phosphate
so, 0.55 moles of CaS[tex]O_{4}[/tex] will react to form x moles of calcium phosphate
[tex]\frac{1}{3}[/tex] = [tex]\frac{x}{0.55}[/tex]
3x = 0.55
x = 0.18 moles of calcium phosphate is formed
mass = number of moles x atomic mass of calcium phosphate
(atomic mass of [tex]Ca_{3}[/tex](P[tex]O_{4}[/tex])[tex]{3}[/tex] =310.18 grams/mole)
putting the values in the formula:
mass = 0.18 x 310.18
= 55.83 grams of calcium phosphate is formed.
