Answer:
<h2>87.21 moles</h2>
Explanation:
To find the number of moles in a substance given it's number of entities we use the formula
where n is the number of moles
N is the number of entities
L is the Avogadro's constant which is
6.02 × 10²³ entities
From the question we have
We have the final answer as
<h3>87.21 moles</h3>
Hope this helps you
Answer:
A.) 2.0 M
Explanation:
Molarity=mole of solutes/Liters of solution so M=mol/L
2moles/4 L =2 M
Answer:
1. 4.32 h
2. 4.12 g/L
Explanation:
1. For a batch culture, the time (tb) can be calculated by:
tb = ln (X/X0)/μmax
Where X0 is the initial mass concentration of the cells (12 g/100L = 0.12 g/L), X is the mass concentration of the cells at tb, and μmax is the maximum specific growth rate of the cells.
The biomass yield (Y) is:
Y = (X - X0)/ (S0 - S)
Where S is the mass concentration of the substrate at tb and S0 the initial mass concentration of the substrate (glucose in this case).
Reorganizing:
X = Y*(S0 -S) + X0
Let's assume that at the stationary state all substrate was consumed, so S = 0.
tb = ln[(YS0 + X0)/X0)]/μmax
tb = ln[(0.575*10 + 0.12)/0.12]/0.9
tb = 4.32 h
2. If 70% of the substrate is consumed, S = 10 - 0.7*10 = 3 g/L
tb = ln[(0.575*(10-3) + 0.12)/0.12]/0.9
tb = 3.93 h
The initial concentration is X0 = 0.12 g/L, the X:
tb = ln (X/X0)/μmax
3.93 = ln(X/0.12)/0.9
ln(X/0.12) = 3.537
X/0.12 =
X/0.12 = 34.36
X = 4.12 g/L