The payment sugar beet growers receive is based on the sucrose content of their delivered beets. A sample is taken from each load of beets and the sugar content in the beets is determined by polarimetry of the beet extract. In a typical situation 50 grams of pulverized beet tissue is homogenized with 360ml of dilute aluminum sulfate. The homogenate is filtered and the optical rotation is determined by use of a polarimeter. For one sample, the following observation were noted:
Tube length=4 decimeters
temperature=20 degree celsius
optical rotation (a)= +4.97 degree
total volume of extract=405ml
1. how much sucrose was contained in the 50 gram sample?
2. If the sugar beet grower receives $0.145 for each pound of sugar, what would he receive for one metric ton (1000Kg) of beet?