Question

In: Chemistry

A mammalian cell nucleus contains 4.0 x 10 ^ 3 molecules of protein X (molecular weight...

A mammalian cell nucleus contains 4.0 x 10 ^ 3 molecules of protein X (molecular weight 6.0 x 10 ^4). Assume the nucleus is a sphere with diameter of 5.0 microns. Calculate the following: A) the molarity of protein X in the nucleus B) the mass (in grams) of protein X in one nucleus. Please show work.

Solutions

Expert Solution

A) The diameter of the spherical cell is 5.0 µ 5.0 µm = (5.0 µ)*(1 m/106 µm)*(100 cm/1 m) = 5.0*10-4 cm; therefore, radius of the sphere is r = ½*(5.0*10-4 cm) = 2.5*10-4 cm.

Volume of the spherical cell is V = 4/3*π*r3 = 4/3*(3.14)*(2.5*10-4 cm)3 = 6.54167*10-11 cm3 = (6.54167*10-11 cm3)*(1 mL/1 cm3) = 6.54167*10-11 mL = (6.54167*10-11 mL)*(1 L/1000 mL) = 6.54167*10-14 L.

Next, find the number of moles of protein X in the nucleus. We know that 1 mole of any substance = 6.023*1023 molecules of that substance.

Therefore, moles of protein X = (4.0*103 molecules)*(1 mole/6.023*1023 molecules) = 6.64121*10-21 mole.

Molar concentration of protein X = (moles of protein X)/(volume of cell) = (6.64121*10-21 mole)/(6.54167*10-14 L) = 1.0152*10-7 mol/L = (1.0152*10-7 mol/L)*(106 µmol/1 mol) = 0.10152 µM (1 mol/L = 1 M) (ans).

B) We have 6.64121*10-21 mole of protein X; the molecular mass of protein X = (6.64121*10-21 mol)*(6.0*104 g/mol) = 3.984726*10-16 g ≈ 3.98*10-16 g (ans).

queen_honey_blossom answered 2 years ago
Next > < Previous

Related Solutions

The Mystery Cell contains water, dextrose, and hemoglobin. At equilibrium, the Mystery Cell contains 180 molecules,...
The Mystery Cell contains water, dextrose, and hemoglobin. At equilibrium, the Mystery Cell contains 180 molecules, the extracellular fluid contains 360 molecules, and the membrane position is approximately 13.3. If you add water permeability to the membrane, you will see that the initial composition of the extracellular fluid is not isotonic to the SimCell. You want to know the concentration of solutes inside the Mystery Cell (at equilibrium), and you want to know how much of the solute is hemoglobin....
An antifreeze protein, with a molecular weight of 17000 Da, was found to be present at...
An antifreeze protein, with a molecular weight of 17000 Da, was found to be present at a concentration of 10g dm-3 in the serum of an Antarctic fish. calculate the expected depression of the freezing point and compare your result with 1) the observed depression of 0.6K and 2) the depression of 0.0014K observed for 10g dm-3 solution of lysozyme, molecular weight of 14500 Da. for pure water, Lf=6.02kj ml-1 and Tm=273.15 K
Many mammalian tumors have mutations in the protein Ras, leading to uncontrolled cell division. Which of...
Many mammalian tumors have mutations in the protein Ras, leading to uncontrolled cell division. Which of the following is false about Ras? The protein GAP inhibits Ras by inducing hydrolysis of GTP. Ras activation activates a kinase cascade. It is a monomeric G-protein. The protein GEF activates Ras by inducing phosphorylation of GDP.
The protein encoded by CDC33 has a molecular weight of 24 kD. There are about 6...
The protein encoded by CDC33 has a molecular weight of 24 kD. There are about 6 picograms of TOTAL protein per haploid yeast cell. The Cdc33 protein is present in 3000 copies per cell. What fraction of the total protein in a yeast cell is Cdc33 protein?
You have discovered a new transmembrane protein that resides in the ER. The molecular weight of...
You have discovered a new transmembrane protein that resides in the ER. The molecular weight of the protein is approximately 100 Kd and it contains a hydrophobic transmembrane domain in middle of the protein amino acid sequence. You want to determine whether the protein is a Type I or Type II transmembrane protein. For the experiment, you are given the following reagents: cDNA construct for the protein, a cell line, a centrifuge, SDS-page apparatus, reagents needed for Western blot analysis...
Protein Molecular Weight Isoelectric point Does the protein contain heme moiety? 1 68,000 5.5 No 2...
Protein Molecular Weight Isoelectric point Does the protein contain heme moiety? 1 68,000 5.5 No 2 15,000 5.0 No 3 17,500 9.5 Yes Could gel filtration chromatography be used to separate a mixture containing proteins 1 & 3? If gel filtration chromatography can be used, which protein would elute las? After collection fractions from the column, the absorbance of each fraction will be measured in a spectrophotometer - can both proteins 1 & 3 be monitored at 280 nm and...
You are given a sample that has 1.3 mg/ml of purified protein. The molecular weight is...
You are given a sample that has 1.3 mg/ml of purified protein. The molecular weight is 37,000 Daltons. a) the absorbance in a 1cm cuvette is 0.93. calculate the molar extinction coefficient. Be sure to express your answer with correct units. b)also calculate the extinction coefficient for concentration units of mg/ml, i.e. with units of cm-1 (mg/ml)-1 c) The sample is actually contaminated with 0.01 mg/ml DNA, but the protein concentration, 1.3 mg/ml is correct. explain how the contaminating DNA...
Separation of protein by molecular weight by adding negative charge to them is: 1. electricity 2....
Separation of protein by molecular weight by adding negative charge to them is: 1. electricity 2. SDS 3. flow from cathode to anode 4. adjusted pH 5. Dialysis 5.
Which of the following contains 3 different RNA molecules?
 Which of the following contains 3 different RNA molecules? (a) the prokaryote 30S ribosomal subunit (b) the eukaryote 40S ribosomal subunit (c) the prokaryote 50S ribosomal subunit (d) the eukaryote 60S ribosomal subunit (e) all of the above
How do protein pumps move ions and small molecules across a cell membrane?
How do protein pumps move ions and small molecules across a cell membrane?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT