A bioreactor with a capacity of 25 liters contains initially 0.01 cubic meters of a 50 mM glucose solution (MW = 180 g/mol). a) What is the final concentration of glucose (expressed in mM) if an additional 12 liters of 30 mM glucose solution is pumped into the bioreactor? b) Instead of (a), if 12 liters of plain water are added to the bioreactor, what is the final concentration of gluCose (expressed in mM)? c) Instead of (a) or (b), if an additional 5 liters of 15 mM glucose solution plus 1O liters of water are added, what is the final concentration of glucose: i. Expressed as molarity? ii. Expressed as % w/v? (% w/v means grams per 100 mL of solution, you result will be expressed as % w/v, example 5.3 % w/v) iii. Expressed as g/cm?? Expressed as ppm? (ppm means parts per million, that is, g per 10° g of solution- see Section 2.4.5 in your book) You can assume that the density of the solution (glucose + water) is the same as the density of water - this iv. assumption is appropriate since this is a dilute solution. Assume density of water to be 1 g/cm?.

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A bioreactor with a capacity of 25 liters contains initially 0.01 cubic meters of a 50 mM glucose solution (MW = 180 g/mol).
a) What is the final concentration of glucose (expressed in mM) if an additional 12 liters of 30 mM glucose solution is
pumped into the bioreactor?
b) Instead of (a), if 12 liters of plain water are added to the bioreactor, what is the final concentration of glucose (expressed
in mM)?
c)
Instead of (a) or (b), if an additional 5 liters of 15 mM glucose solution plus 10 liters of water are added, what is the final
concentration of glucose:
i.
Expressed as molarity?
Expressed as % w/v? (% w/v means grams per 100 mL of solution, you result will be expressed as % w/v,
example 5.3 % w/v)
Expressed as g/cm?
Expressed as ppm? (ppm means parts per million, that is, g per 106g of solution- see Section 2.4.5 in your book)
You can assume that the density of the solution (glucose + water) is the same as the density of water - this
assumption is appropriate since this is a dilute solution. Assume density of water to be 1 g/cm³.
ii.
iii.
iv.
Transcribed Image Text:A bioreactor with a capacity of 25 liters contains initially 0.01 cubic meters of a 50 mM glucose solution (MW = 180 g/mol). a) What is the final concentration of glucose (expressed in mM) if an additional 12 liters of 30 mM glucose solution is pumped into the bioreactor? b) Instead of (a), if 12 liters of plain water are added to the bioreactor, what is the final concentration of glucose (expressed in mM)? c) Instead of (a) or (b), if an additional 5 liters of 15 mM glucose solution plus 10 liters of water are added, what is the final concentration of glucose: i. Expressed as molarity? Expressed as % w/v? (% w/v means grams per 100 mL of solution, you result will be expressed as % w/v, example 5.3 % w/v) Expressed as g/cm? Expressed as ppm? (ppm means parts per million, that is, g per 106g of solution- see Section 2.4.5 in your book) You can assume that the density of the solution (glucose + water) is the same as the density of water - this assumption is appropriate since this is a dilute solution. Assume density of water to be 1 g/cm³. ii. iii. iv.
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