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MolSynapse / Question bank / s-Block Elements / Important compounds: NaOH, Na2CO3, NaHCO3, CaO, CaCO3, plaster of Paris

JEE Advanced levelNumerical answerDifficulty 3 of 3sb213

In a Solvay plant all the $CO X_{2}$ obtained by calcining $NaHCO X_{3}$ is recycled, the rest of the $CO X_{2}$ comes from limestone (85.0% $CaCO X_{3}$ by mass, impurity inert), and all the resulting $CaO$ is used to recover ammonia from $NH X_{4} Cl$ . For 5300 kg of $Na X_{2} CO X_{3}$ produced, the minimum mass of limestone required is (fill in the value) kg (nearest integer; Na 23, C 12, O 16, Ca 40).

Numerical answer type, answer in kg, tolerance 0.5.

Answer: 5882 kg

Per mole of

Na X_{2} CO X_{3}

two moles of

CO X_{2}

are needed for

NaHCO X_{3}

and only one is regenerated on calcination, so one mole must come from

CaCO X_{3}

(

CaCO X_{3} CaO + CO X_{2}

). The resulting

CaO

(1 mol) is exactly what

2 NH X_{4} Cl + CaO

needs. Moles of

Na X_{2} CO X_{3}

= 5300/106 = 50.0

kmol, so pure

CaCO X_{3}

= 5000

kg and limestone

= 5000/0.850 = 5882.35

kg, nearest integer 5882.

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