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Vitamin \(\mathrm{B}_{12},\) cyanocobalamin, is essential for human nutrition. It is concentrated in animal tissue but not in higher plants. Although nutritional requirements for the vitamin are quite low, people who abstain completely from animal products may develop a deficiency anemia. Cyanocobalamin is the form used in vitamin supplements. It contains 4.34\(\%\) cobalt by mass. Calculate the molar mass of cyanocobalamin, assuming that there is one atom of cobalt in every molecule of cyanocobalamin.

Short Answer

Expert verified
The molar mass of cyanocobalamin (Vitamin B12) is approximately 1357.6 g/mol.

Step by step solution

01

Collect Information Given

We have the following information: - Cobalt Percentage in cyanocobalamin: 4.34% - Atomic mass of cobalt: 58.93 g/mol (found on the periodic table)
02

Set up an Equation to Calculate the Molar Mass of Cyanocobalamin

Let M be the molar mass of cyanocobalamin. We are given that the mass of cobalt in cyanocobalamin is 4.34% of the total molar mass. So, we can set up the equation: \[ \frac{58.93}{M} = \frac{4.34}{100} \]
03

Solve the Equation for the Molar Mass

To isolate M, we can cross-multiply: \[ 58.93 \times 100 = 4.34 \times M \] Now, divide both sides by 4.34 to find the molar mass of cyanocobalamin: \[ M = \frac{58.93 \times 100}{4.34} \]
04

Calculate the Molar Mass

Plugging the given values into the equation, we can find the molar mass of cyanocobalamin: \[ M = \frac{58.93 \times 100}{4.34} = 1357.6\, g/mol \] The molar mass of cyanocobalamin (Vitamin B12) is approximately 1357.6 g/mol.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Vitamin B12
Vitamin B12, also known as cyanocobalamin, is a vital nutrient necessary for some of our bodily functions. Although found abundantly in animal tissues, it's pretty rare in higher plants. This vitamin plays a crucial role in the formation of red blood cells, DNA synthesis, and the normal functioning of our nervous system.
• It is essential for people who consume an entirely plant-based diet to monitor their Vitamin B12 levels, as they might not obtain enough of it from their food sources.
• Supplements or fortified foods are often advisable for them to prevent deficiency.
Vitamin B12 is needed in very small amounts, but even a slight deficiency can lead to serious health issues, such as anemia.
Cobalt Percentage
Cobalt is a significant microelement found in vitamin B12 and is crucial for its function in our body. In the form of cyanocobalamin used for Vitamin B12 supplements, cobalt makes up 4.34% of its molar mass.
• This percentage signifies that in every molecule of cyanocobalamin, one part is cobalt.
• The presence of cobalt is what allows cyanocobalamin to perform its role in creating new red blood cells and maintaining healthy nerve cells.
Understanding the cobalt percentage is important for calculating the total molar mass of cyanocobalamin, as it helps scientists and nutritionists ensure the proper dosage in supplements.
Deficiency Anemia
Deficiency anemia, specifically megaloblastic anemia, occurs when there are insufficient red blood cells or when they don't function properly due to a shortage of Vitamin B12. This type of anemia happens because the vitamin plays a major role in the production of these cells and DNA.
• Symptoms can include fatigue, headache, and weakness, often signaling the need for a closer look at nutritional intake.
• Long-term deficiency can lead to severe neurological issues and should be addressed promptly with dietary interventions or supplements.
For individuals avoiding animal products, such a deficiency can happen if alternative sources of Vitamin B12 are not consumed, making awareness and monitoring important.
Atomic Mass of Cobalt
The atomic mass of cobalt is an important factor when calculating the molar mass of any compound containing cobalt, such as cyanocobalamin. The atomic mass of cobalt is approximately 58.93 g/mol, which is found on the periodic table.
• This value helps us determine the contribution of cobalt to the overall molar mass of cyanocobalamin.
• Knowing the exact atomic mass is crucial for creating accurate nutritional supplements, ensuring people receive the correct amount of Vitamin B12.
In biochemistry, precise measurements are vital, and using cobalt's atomic mass correctly ensures that vitamin formulations lead to supplements that maintain proper health standards.

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Most popular questions from this chapter

A common demonstration in chemistry courses involves adding a tiny speck of manganese(IV) oxide to a concentrated hydrogen peroxide \(\left(\mathrm{H}_{2} \mathrm{O}_{2}\right)\) solution. Hydrogen peroxide decomposes quite spectacularly under these conditions to produce oxygen gas and steam (water vapor). Manganese(IV) oxide is a catalyst for the decomposition of hydrogen peroxide and is not consumed in the reaction. Write the balanced equation for the decomposition reaction of hydrogen peroxide.

A compound contains only carbon, hydrogen, nitrogen, and oxygen. Combustion of 0.157 \(\mathrm{g}\) of the compound produced 0.213 \(\mathrm{g} \mathrm{CO}_{2}\) and 0.0310 \(\mathrm{g} \mathrm{H}_{2} \mathrm{O}\) . In another experiment, it is found that 0.103 \(\mathrm{g}\) of the compound produces 0.0230 \(\mathrm{g} \mathrm{NH}_{3} .\) What is the empirical formula of the compound? Hint: Combustion involves reacting with excess \(\mathrm{O}_{2}\) . Assume that all the carbon ends up in \(\mathrm{CO}_{2}\) and all the hydrogen ends up in \(\mathrm{H}_{2} \mathrm{O}\) . Also assume that all the nitrogen ends up in the \(\mathrm{NH}_{3}\) in the second experiment.

Zinc and magnesium metal each reacts with hydrochloric acid to make chloride salts of the respective metals, and hydrogen gas. A 10.00 -g mixture of zinc and magnesium produces 0.5171 g of hydrogen gas upon being mixed with an excess of hydrochloric acid. Determine the percent magnesium by mass in the original mixture.

Cumene is a compound containing only carbon and hydrogen that is used in the production of acetone and phenol in the chemical industry. Combustion of 47.6 \(\mathrm{mg}\) cumene produces some \(\mathrm{CO}_{2}\) and 42.8 \(\mathrm{mg}\) water. The molar mass of cumene is between 115 and 125 \(\mathrm{g} / \mathrm{mol}\) . Determine the empirical and molecular formulas.

Considering your answer to Exercise \(81,\) which type of formula, empirical or molecular, can be obtained from elemental analysis that gives percent composition?

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