Answer:
When this equation is solved, the two values of the unknown are 0.0643 and -0.082
Explanation:
Given
--- the actual equation
Required
The values of x
We have:

Cross Multiply

Multiply both sides by 100

Open bracket

Rewrite as:

Using quadratic formula:

Where:

So, we have:



Split



Mass is equal to moles x molar mass, and the molar mass of C6H12 is 84, therefore the mass is 436.8 g, but 437 rounded to correct significant figures
Answer:
[H₃O⁺] → 0.063 M
Explanation:
To determine the pH, our formula is:
- log [H₃O⁺]
To determine the [H⁺] we have to apply the inverse function
10^-pH = [H₃O⁺]
10⁻¹'²⁰ = [H₃O⁺] → 0.063 M
Quartz has the formula SiO2
From the periodic table:
mass of oxygen = 16 grams
mass of silicon = 28.0855 grams
Mass of one mole of quarts = 28.0855 + 2(16) = 60.0855 grams
number of moles = mass / molar mass
number of moles = 1.6 / 60.0855 = 0.0266 moles
Each mole of quartz contains Avogadro's number of atoms.
Therefore:
number of atoms in 1.6 g = 1.6 x 6.02 x 10^23 = 1.603 x 10^22 atoms
C. The design would not be cost-efficient; the plane would require more fuel due to increased thrust from higher drag.