If the mitochondrial matrix has a pH of 8.4, what is the number of protons inside...
If the mitochondrial matrix has a pH of 8.4, what is the number of protons inside a respiring mitochondrion from liver? the matrix compartment of the mitochondrion is a sphere with a diameter of 1.6 micro meter.
Homework Answers
pH=-log[H+]
pH=8
8=-log[H+]
[H+]=antilog (-8)
[H+]=10^-8M
volume of the sphere=4/3
r^3
matrix compartment of the mitochondrion is a sphere with a diameter of 1.6 micro meter.
r=diameter/2=1.6/2=0.8 um
volume of the mitochondrial matrix=4/3
(0.8)^3
= 2.144 um^3
1 um=10^-6 m
so 1 um^3= (1 
10^-6)^3=10^-18 m^3
so 2.144 um^3= 2.144
10^-18 m^3
1m^3=1000L
so 2.144
10^-18 m^3=2.144
10^-181000=2.144
10^-15 L
concentration of H+= 10^-8 M
molarity= number of moles/volume of the solution in Litres
number of moles= molarity
volume of the solution in litres
= 10^-8
2.144
10^-15
= 2.144
10^-23
1 mole contains 6.02210^23
molecules
so number of protons in the mitochondrial matrix= number of
moles of H+
6.02210^23
= 2.144
10^-23
6.02210^23
= 14.7
number of protons in the mitochondrial matrix= 14.7
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