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Pj Problems - Overview

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Painting

Avogadro's Number - Mass Of A sample Of Glucose

A sample of glucose (C_{6}H_{12}O_{6}), contains 1.250 x 10^{21} atoms of carbon

(a) Determine number of hydrogen atoms in the sample

(b) Determine number of molecules of glucose in the sample

(c) Determine number of moles of glucose in the sample

(d) Determine the mass of the glucose sample in grams.

**The strings**:
S_{7}P_{1}A_{15} (containership - mass).
**The math**:

Pj Problem of Interest is of type *containership* (mas).

**(a)** The ratio of hydrogen atoms to carbon atoms in the formula of glucose is 2:1. One expects this ratio to hold in the distribution of atoms in the sample of glucose.

So, number of hydrogen atoms in sample of glucose:

= 2(1.25 x 10^{21}) = 2.5 x 10^{21} atoms.
**(b)** I molecule of glucose contains 12 hydrogen atoms

So, number of glucose moles in sample:

= (2.5 x 10^{21} atoms)/12 = 0.2083 x 10^{21} = 2.08 x 10^{20} molecules.
**(c)**1 mole of glucose contains the Avogadro number of molecules = 6.02 x 10^{23}

So, 2.08 x 10^{20} molecules of glucose contains:

(2.08 x 10^{20})/(6.02 x 10^{23}) = 0.35 x 10^{-3} = 3.5 x 10^{-4} moles.
**(d)** 1 mole of glucose has 180 amu molar mass

So, 3.5 x 10^{-4} moles has:

= 180(3.5 x 10^{-4}) = 0.063 grams of glucose.

Math

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

Single Variable Functions

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Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation

Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions

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Derivation Of Heat Equation For A One-Dimensional Heat Flow

The Universe is composed of *matter* and *radiant energy*. *Matter* is any kind of *mass-energy* that moves with velocities less than the velocity of light. *Radiant energy* is any kind of *mass-energy* that moves with the velocity of light.

Periodic Table

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How Matter Gets Composed (2)

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Molecular Orbital Theory

More Pj Problem Strings