Soda Spar

.6Na20

.3 K2O

.1 CaO

Potash Spar

.6K20

.4 Na2O

Recipe requires .5 Na2O +.5 K2O

How much Soda and How much Potash spars do you need

s= amount of Soda Spar in Mols

p= amount of Potas Spar in Mols

a:Total Potash From Recipe=
s* 0.3+ p*
0.6 =
0.5

b:Total Soda From Recipe = s*
0.6+ p*0.4= .5

Equation a transformed

s=__.5-.6p __
=1.667-2p__
__ .3

Equation b Transformed

p=

.4

Substituting 1.667-2p for s

p=1.25- 1.5(1.667-2p

transformed

2p=1.25

p=.625

Since s=1.667-2p, s=1.667-2* 0.625, s=.417

Checking, p=.625, s=.417

.6Na20

.3 K2O

.1 CaO

Potash Spar

.6K20

.4 Na2O

Total Potash From Recipe= s* 0.3+ p* 0.6 = 0.5

.417*.3+.625*.6=.500

Total Soda From Recipe = s* 0.6+ p*0.4= .5

.417*.6 +.625*.04=.500