An ore contains calcium hydroxide $C a (O H)_{2}$ in association with calcium phosphate $C a_{3} (P O_{4})_{2}$ . The analysis shows that calcium and phosphorous are present is a mole ratio of 5:3, which of the following best represent the composition of the ore?

C a (O H)_{2} . C a_{3} (P O_{4})_{2}

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C a (O H)_{2} .2 C O_{3} (P O_{4})_{2}

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C a (O H)_{2} .3 C a_{3} (P O_{4})_{2}

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C a (O H)_{3} .4 C a_{3} (P O_{4})_{2}

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Solution

The correct option is C $C a (O H)_{2} .3 C a_{3} (P O_{4})_{2}$
$M o l e s o f C a M o l e s o f P C a {(O H)}_{2} . {C a}_{3} {({P O}_{4})}_{2} - 42 C a {(O H)}_{2} . {2 C a}_{3} {({P O}_{4})}_{2} - 74 C a {(O H)}_{2} . {3 C a}_{3} {({P O}_{4})}_{2} - 53 C a {(O H)}_{2} . {4 C a}_{3} {({P O}_{4})}_{2} - 138$

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C a_{3} {(P O_{4})}_{2}

Calculate the mass per cent of calcium, phosphorus and oxygen in calcium phosphate $C a_{3} (P O_{4})_{2}$ .

C a_{3} (P O_{4})_{2}

x

x

C a_{3} (P O_{4})_{2}

C a_{3} (P O_{4})_{2}

H C l

C a_{3} (P O_{4})_{2} + 6 H C l \to 3 C a C l_{2} + 2 H_{3} P O_{4}

C a C l_{2}

\frac{1}{x}

x

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