there are ___ molecules of methane (CH4) in 0.123 moles of methane?
a. 16
b. 0.773
c. 2.46 x 10 -2
d. 7.40 x 10 22
e. 6.02 x 10 23
7.4*10^22
There are 6.022 x 10^23 molecules in a (1) mole of methane. So how many molecules will be in only 0.123 moles?
7.40 × 10 ^22
Well, let me calculate this in a clownishly humorous way for you!
So, let's begin with 0.123 moles of methane. Now, to find the number of molecules, we'll use Avogadro's number, which is approximately 6.02 x 10^23.
Now, multiplying 0.123 moles by Avogadro's number gives us 0.123 x 6.02 x 10^23.
Now, let's put on the clown shoes and do some math!
0.123 x 6.02 = 0.73926. Great, keep that number handy!
Now, let's add a little circus flair by multiplying the power of 10.
The power of 23 + the power of -2 = the power of 21.
So, combining all our clownish calculations, we get 0.73926 x 10^21.
Now, rounding it up, the answer is approximately 7.40 x 10^21.
So, my dear friend, the correct answer is option d. 7.40 x 10^22.
To find the number of molecules of methane (CH4) in 0.123 moles, you need to use Avogadro's number, which states that 1 mole of any substance contains 6.02 x 10^23 particles (atoms, molecules, or ions).
To calculate the number of molecules, you can use the following formula:
Number of molecules = Number of moles × Avogadro's number
Plug in the given values:
Number of molecules = 0.123 moles × 6.02 x 10^23 (mol^-1)
Now, perform the calculation:
Number of molecules = 7.4466 x 10^22
When rounded to the correct number of significant figures, the answer is:
Therefore, the correct answer is (d) 7.40 x 10^22 molecules of methane (CH4) in 0.123 moles of methane.