Whoever wants to solve it please could you write it step by step and give me an
ID: 194008 • Letter: W
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Whoever wants to solve it please could you write it step by step and give me an explanation Please help me with solve a problem ? 2. Order-of-magnitude estimate #2: Macromolecular crowding Note Justify the assumption that the mean spacing between molecules in typical in vitro experiments (performed at M concentrations) is ~ 100 nm. For comparison, what is the mean spacing of proteins in an E. coli cell? The biochemical standard state is often taken as 1 M. Would it be biologically feasible to have proteins at this concentration in the cell? [Take the radius of an "average" protein to be 2 nm.]Explanation / Answer
According to the kinetic theory, all matter is composed of tiny particles called atoms. Atoms form bonds in several different ways, but they all have similar bond lengths. Generally speaking the space between the nucleus of two bonded atoms is around 10^-10 meters (~100nm). This is also called one ångström (Å). It's approximately the size of the electron cloud of a single atom. Biological atoms are also governed by the same laws as the non-biological atoms. Hence, the mean spacing between molecules in typical in vitro experiments is assumed to be (~100nm).
The cytoplasm of E. Coli cell has a density of 300mg/ml. In this 30% of the mass is occupied by macromolecules, half of which is protein mass. If each protein makes up to 300 KDa, then the cell contains about 3 million proteins in an E. Coli cell. This information can be used to estimate mean spacing between proteins of E.Coli cell that is approximately 30 nm.
The biochemical standard state concentration of 1M is too high for macromolecules like proteins and nucleic acids that it violates volumetric self-consistency
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