One aluminum atom will cost 0.84 × 10⁻²³ cents.
Explanation:
Aluminium costs 85 cents per 453.592 grams.
number of moles = mass / atomic weight
number of moles of aluminium = 453.592 / 27 = 16.8 moles
To calculate the number of aluminum atoms we use the Avogadro's number:
if 1 mole of aluminum contains 6.022 × 10²³ aluminum atoms
then 16.8 moles of aluminum contains X aluminum atoms
X = (16.8 × 6.022 × 10²³) / 1 = 101.17 × 10²³ aluminum atoms
Now, taking in account the aluminium price, we devise the following reasoning:
if 101.17 × 10²³ aluminum atoms costs 85 cents
then 1 aluminum atom costs Y cents
Y = (1 × 85) / (101.17 × 10²³) = 0.84 × 10⁻²³ cents
Learn more about:
Avogadro's number
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Taking into account the ideal gas law, the pressure is 2.52 atm.
An ideal gas is a theoretical gas that is considered to be composed of randomly moving point particles that do not interact with each other. Gases in general are ideal when they are at high temperatures and low pressures.
The pressure, P, the temperature, T, and the volume, V, of an ideal gas are related by a simple formula called the ideal gas law. This equation relates the three variables if the amount of substance, number of moles n, remains constant. The universal constant of ideal gases R has the same value for all gaseous substances. The numerical value of R will depend on the units in which the other properties are worked.
P×V = n×R×T
In this case, you know:
- P=?
- V= 500 L
- n= 52.1 moles
- R= 0.082
- T= 22 C= 295 K (being 0 C=273 K)
Replacing in the ideal gas law:
P×500 L = 52.1 moles ×0.082 ×295 K
Solving:
P= (52.1 moles ×0.082 ×295 K)÷ 500 L
<u><em>P= 2.52 atm</em></u>
Finally, the pressure is 2.52 atm.
Learn more about ideal gas law:
The muscular and skeletal systems work together to provide a structural framework for movement... The combined organ systems are sometimes called the musculoskeletal system... When you want to move, signals travel from your brain to your skeletal muscle cells. The muscle cells then contract, or get shorter. Tendons connect the muscles to the bones. As muscles contract, they pull on the tendons which move the bones. Skeletal muscles often work in pairs, as the biceps and triceps of the arm.
