/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 1 Hemoglobin has a molecular mass ... [FREE SOLUTION] | 91Ó°ÊÓ

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Hemoglobin has a molecular mass of 64500 u. Find the mass (in \(\mathrm{kg}\) ) of one molecule of hemoglobin.

Short Answer

Expert verified
1.07006 \times 10^{-22} \mathrm{kg}

Step by step solution

01

Understanding the Problem

We need to find the mass in kilograms of one molecule of hemoglobin, given its molecular mass of 64500 unified atomic mass units (u).
02

Concept of Unified Atomic Mass Unit

Understand that 1 unified atomic mass unit (u) is equivalent to \(1.660539 \times 10^{-27} \mathrm{kg}\). This conversion factor will help us change the molecular mass from atomic mass units to kilograms.
03

Calculate the Mass in Kilograms

Use the conversion factor to calculate the mass in kilograms: \[ \text{Mass in kg} = 64500 \, \text{u} \times 1.660539 \times 10^{-27} \, \text{kg/u} \].
04

Perform the Multiplication

Calculate the multiplication: \[ \text{Mass in kg} = 64500 \times 1.660539 \times 10^{-27} \approx 1.07006 \times 10^{-22} \, \text{kg} \]. This gives the mass of one molecule of hemoglobin in kilograms.

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Key Concepts

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

Hemoglobin
Hemoglobin is an essential protein found in red blood cells. Its primary role is to transport oxygen from the lungs to the rest of the body and bring carbon dioxide back to the lungs to be exhaled. Without hemoglobin, our cells couldn't receive the oxygen needed for metabolism. Hemoglobin is composed of four protein subunits, and each contains an iron atom that binds oxygen.
  • This protein gives blood its characteristic red color due to the iron bonds with oxygen.
  • The efficiency of oxygen transport makes hemoglobin critical for cellular functions and overall health.
Understanding its molecular mass is crucial when studying biochemical processes and when engaging in medical diagnostics. The molecular mass indicates the mass of one molecule of hemoglobin and is measured in atomic mass units (u). Knowing this helps in converting and understanding different scientific measurements, like mass in kilograms.
Atomic Mass Unit
An atomic mass unit (u) is a standard unit of measurement for expressing the masses of atoms, molecules, or subatomic particles. It is defined as one twelfth of the mass of an unbound neutral atom of carbon-12 in its nuclear and electronic ground state, and has a value of approximately 1.660539 × 10-27 kilograms.
  • Using atomic mass units makes dealing with the incredibly small masses of atoms and molecules more manageable.
  • It serves as a convenient way to bridge dimensions from atomic-scale mass to everyday scales.
Scientists routinely use atomic mass units when discussing molecular mass and comparing the sizes of different particles. It simplifies calculations and allows for easy conversion to other units like kilograms for real-world applications.
Conversion Factor
A conversion factor is a ratio that allows conversion from one unit of measurement to another. In the context of hemoglobin's molecular mass, we need the conversion factor that relates atomic mass units to kilograms: 1 u = 1.660539 × 10-27 kg.
  • Conversion factors ensure accuracy when translating quantities between different unit systems.
  • They are critical in scientific and engineering calculations to maintain consistency across measurements.
Using the correct conversion factor allows us to convert the molecular mass of hemoglobin from unified atomic mass units (u) to kilograms (kg), providing us with a practical understanding of its mass on a scale familiar to our daily experiences.
Kilograms
Kilograms (kg) are the base unit of mass in the International System of Units (SI). It provides a universal measurement scale used for scientific, commercial, and everyday applications.
  • Understanding kilograms is fundamental for scientists and engineers when documenting and sharing measurements globally.
  • Converting molecular masses to kilograms helps in connecting microscopic data to macroscopic real-world applications.
Converting the molecular mass of substances like hemoglobin into kilograms helps scientists understand molecular interactions in physical terms. For example, determining the mass of a single hemoglobin molecule in kilograms allows comparisons to be made with other masses measured in this unit, such as those related to medical dosages or material quantities.

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Most popular questions from this chapter

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A cylindrical glass of water \(\left(\mathrm{H}_{2} \mathrm{O}\right)\) has a radius of \(4.50 \mathrm{cm}\) and a height of \(12.0 \mathrm{cm} .\) The density of water is \(1.00 \mathrm{g} / \mathrm{cm}^{3} .\) How many moles of water molecules are contained in the glass?

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