V1= 38.8
n1= 1.60*10^-3
V2= 49.9
n2= ?
How do we solve for n2 using avogadro's law?
To solve for n2 using Avogadro's law, we need to understand the relationship expressed by this law. According to Avogadro's law, equal volumes of gases at the same temperature and pressure contain an equal number of molecules. Mathematically, this can be expressed as:
V1 / n1 = V2 / n2
Where:
V1 and V2 are the volumes of the gases
n1 and n2 are the number of moles of the gases
Now, let's substitute the given values into the formula and solve for n2.
Given:
V1 = 38.8
n1 = 1.60 * 10^-3
V2 = 49.9
We can rewrite the equation as:
38.8 / (1.60 * 10^-3) = 49.9 / n2
To solve for n2, we need to isolate it on one side of the equation. We can do this by cross-multiplication:
38.8 * n2 = (1.60 * 10^-3) * 49.9
Now, calculate the right side of the equation:
38.8 * n2 = 8.428 * 10^-2
Next, divide both sides of the equation by 38.8 to solve for n2:
n2 = (8.428 * 10^-2) / 38.8
Using a calculator, we find:
n2 ≈ 2.17 * 10^-3
Therefore, by applying Avogadro's law with the given values, we find that n2 is approximately 2.17 * 10^-3.