# Homework Help: Plsss help with Different equations (SOS)

1. Jun 11, 2007

### tuongcong

Question:
In the process of preserving food, cane sugar is broken down(called the process of inversion) into 2 simpler sugars: glucose and fructose. In dilute solutions, The inversion rate is proportional to the concentration y(t) of unaltered sugar. If the concentrations 1/50 @ t=0 and 1/200 after 3 hrs, Find the concentrations of unaltered sugar after 6 hrs and after 12hrs.

2. Jun 11, 2007

### CaptainZappo

Think of this problem as a typical half-life scenario. You can either solve it directly with the equations descriptive of half-life, or better yet, you can set up the relationship describing such a process and solve the differential equation.

Hint: the differential equation will be a linear, first order, separable equation.

3. Jun 11, 2007

### tuongcong

can u be more specific plssssss.
Im totally blind on this problem.

4. Jun 11, 2007

### CaptainZappo

Ok. I will set up the relationship for you and leave the actual solving for you.

Please see the attached Word document for the procedure.

#### Attached Files:

• ###### Concentration problem.doc
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5. Jun 12, 2007

### Staff: Mentor

The attachment does not show enough detail to be considered posting a solution, so I approved it. Thanks for being careful to provide tutorial help only, CaptainZappo.