You can work out the percentage on a calculator by doing:
53/100
=0.53
And hen multiplying 0.53 by 12 to get
6.36
1.326 grams of NH3 are required to produce 4.65 g of HF.
Step-by-step explanation:
Balanced chemical reaction is written first to know the number of moles taking part in original reaction.
NH3 +3 F2 ⇒3 HF + NF3
Given:
mass of HF = 4.65
First the number of moles of HF in 4.65 grams is calculated by using the formula:
number of moles (n) = 
atomic mass of HF = 20 grams/mole
putting the values in the above equation number of moles can be found.
n = 
= 0.235 moles of HF are given.
From the equation it can be said that:
1 mole of NH3 reacts to form 3 moles of HF
so, x moles of NH3 would react to form 0.235 moles of HF
= 
3x = 0.235
x = 
x = 0.078 moles of NH3 is required.
The moles are converted to mass by applying the formula:
mass = atomic mass X number of moles (atomic mass of NH3 = 17 grams/mole)
putting the values in the formula
mass = 17 X 0.078
mass = 1.326 grams
The rectangular prism has a volume of, 1/4 cubic meter.
( [72-60] / 72 )*100 = 50 / 3 = 16.7 %
This is a problem dealing with probability. First of all, you pick a marble, at random, from three marbles. It stands to reason then that the likelihood of you picking any specific marble is a 1 in 3 chance, or 1/3.
Then you flip a coin. There are only two possible outcomes here, so the chance of the coin landing on any particular side is a 1 in 2 chance, or 1/2.
You then multiply these probabilities by each other to come out with a 1/6 probability of getting any specific outcome, meaning that there are <u>6 possible outcomes</u>
Now there might be some confusion to as why I multiplied the probabilities together and as to why this works. If I may, allow me to alleviate any confusion.
If one thinks about it, it makes perfect sense why it should work. If you pick the green marble the option remains that you will either flip heads or tails. Hence, via picking the green marble you are left with two possible outcomes.
This remains true for the blue and the yellow marble, picking either will still leave you with two outcomes, giving 6 outcomes all together.
Hope this helps :)