Soda and lime are added to a glass batch in the form of soda ash (Na2CO3 ) and lime-stone (CaCO3 ). During heating, these two ingredients decompose to give off carbon dioxide (CO2 ), the resulting products being soda and lime. Compute the weight of soda ash and limestone that must be added to 125 lbm of quartz (SiO2 ) to yield a glass of composition 78 wt% SiO2 , 17 wt% Na2O, and 5 wt% CaO.

Explanation:

We determine the weight of CaO and Na₂O by setting two simultaneous equation with the two unknown as follows

a and b represent Na₂O and CaO respectively.

By solving you get

a = 23.8

b = 16.2

We will calculate the molecular weight of Na₂CO₃  and  Na₂O

Na₂CO₃ = 2(22.99) + 12.01 + 3(16)

= 105.99 g / mol

Na₂O = 2(22.99) + 16

= 61.98g / mol

We can now find the mass by taking the weight of Na₂O and multiple it by fraction of molar weight

Similarly, We will calculate the molecular weight of CaCO₃  and  CaO

CaCO₃ = 40.08 + 12.0+ 3(16)

= 100.09g/mol

CaO = 40.08 + 16

= 56.08 g / mol

We can now find the mass by taking the weight of CaCO₃ and multiple it by fraction of molar weight

therefore, the answer = 40.7lb and 28.9lb

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