A mole of helium gas contains 6.02x10^23 helium atoms. How many helium atoms are there in a micromole of helium? How many moles of helium does 1.25x10^20 atoms of helium represent?
~I have no idea how to start or what the value of a micromole is? Constructive help would be great... thanx
If there are 6.02x10^23 atoms in a mole of He atoms, then how many mols must there be in 1.25x10^20 atoms. You know 1.25x10^20 atoms MUST be less than 1 mole. Or look at it another way.
How many mols in 6.02x10^23 atoms? 1.0
How many mols in 3.01x10^23 atoms? 0.5
How many mols in 1.5x10^23 atoms?
How many mols in 0.75x10^23 atoms?
Get the idea? How many mols are there in 1.25x10^20 atoms.
A micrometer is 1x10-6meters.
A microliter is 1x10-6 liters.
A micromole must be 1x10-6 mols. So you want to know the number of atoms in 1x10-6 mol He atoms. Show your work if you get stuck and I can give you other hints. But I predict you won't need them.
1x10^-6 divided by 6.02x10^23 equals 6.02x10^17
1.25x10^20 divided by 6.02x10^23 equals 2.08x10^-4
To find out how many helium atoms are in a micromole of helium, we need to determine the number of atoms in 1x10^-6 moles of helium.
Given that 1 mole of helium contains 6.02x10^23 helium atoms, we can set up the following proportion:
1 mole / 6.02x10^23 atoms = 1x10^-6 moles / x atoms
To solve for x, we can cross multiply and solve for x:
6.02x10^23 * 1x10^-6 = x
x = 6.02x10^17 atoms
Therefore, there are 6.02x10^17 helium atoms in a micromole of helium.
Next, we can determine the number of moles of helium represented by 1.25x10^20 atoms of helium.
Using the same proportion as before:
1 mole / 6.02x10^23 atoms = y moles / 1.25x10^20 atoms
Cross multiplying and solving for y:
6.02x10^23 * 1.25x10^20 = y
y = 7.525x10^43
Therefore, 1.25x10^20 atoms of helium represents 7.525x10^43 moles of helium.
To find the number of helium atoms in a micromole of helium, we need to know that a micromole is equal to 1x10^-6 moles. We can use the relationship that 1 mole of helium contains 6.02x10^23 helium atoms.
So, to find the number of helium atoms in a micromole of helium, we can use the following calculation:
Number of helium atoms = 6.02x10^23 atoms/mole * 1x10^-6 moles
To simplify this calculation, we can multiply the two values together:
Number of helium atoms = 6.02x10^23 * 1x10^-6 atoms
To multiply these values, we can multiply the numerical parts (6.02 * 1 = 6.02) and add the exponents of 10 (23 + -6 = 17). So the calculation becomes:
Number of helium atoms = 6.02x10^17 atoms
Therefore, there are 6.02x10^17 helium atoms in a micromole of helium.
Now let's move on to the second part of the question. We are given the number of helium atoms (1.25x10^20) and we need to find the number of moles of helium.
Using the given relationship that 1 mole of helium contains 6.02x10^23 helium atoms, we can set up the following calculation:
Number of moles of helium = 1.25x10^20 atoms * 1 mole / 6.02x10^23 atoms
To simplify this calculation, we can divide the numerical parts (1.25 / 6.02 ≈ 0.2073) and subtract the exponents of 10 (20 - 23 = -3). So the calculation becomes:
Number of moles of helium = 0.2073x10^-3 moles
Now, we can rewrite 0.2073 as a normalized decimal (2073 / 10000 = 0.2073) and adjust the exponent accordingly. Thus, the final answer is:
Number of moles of helium = 2.073x10^-4 moles
Therefore, 1.25x10^20 atoms of helium represents approximately 2.073x10^-4 moles of helium.