A compound dissolves in water at a rate proportional to the product of the amount of undissolved solid and the difference between the concentration in a saturated solution and the actual solution; i.e., Csat – C(t). A saturated solution of this compound contains 40 g per 100 g of water. In a test run starting with 20 kg of undissolved compound in 100 kg of water, it was found that 5 kg dissolved in 3 hr. if the test continues, how many kg of compound will remain undissolved after 7 hr? Assume that the system is isothermal.

Correct Answer: 10.72 kg
Definitions of variables used: C = kg dissolved compound/ kg water Cs = saturated m = mass of undissolved solid mo = initial mass of solid W = kg of water C7= 0.093 and m: mo – C7.100 kg m = 10.72 kg.