Question: Strawberries contain 12wt% solids and 88wt% water, to make strawberry jam, crushed strawberries and sugar are mixed in a 45:55 mass ratio, and the mixture is heated to evaporate water. after evaporation the jam contains 1/3 water by mass
1. complete a degree of freedom analysis
2. how many kg of strawberries are needed to make 1kg of jam
this is what i have, i' am just wondering if this is right
for questions 1. there are 3 unknowns-2 balances-1(45:55mass ratio)=0
for part2.
Eq1: m1(.12)+m2=.667
Eq2. m1(.88)=m4+.333
Eq3. m1/m2=45/55
so i took eq3 m1=(45m2)/55 into equation 1 to give me (45m2/55)(.12)+m2=.667 were m2=.607
so then i took m2 into equation 3 to give me m1=(45/55)(.607)=.497 so therefore there would be .497kg needed to make 1kg jam, does this seem right??
thx