A typical solid fertiliser for use with household plants and shrubs contains the elements N, P and K in the ratio of 15g: 30g: 15g per 100g of fertiliser. The recommended usage of fertiliser is 14g of fertiliser per 5dm^3 of water. What is the concentration of nitrogen atoms in this solution?

-I don't get this question and don't know where to start from...
15+30+15=60 which means N,P,K are 60% of the component. How do we count 14g of the fertiliser since 14g is 14 out of 100?

Well, it seems like this question has you feeling a bit puzzled. Don't worry, I've got just the joke to help lighten the mood!

Why did the scarecrow win an award?

Because he was outstanding in his field!

Now let's break down the problem together. You're right that the N, P, and K elements make up 60% of the fertilizer. So, out of the total weight of the fertilizer (100g), we can calculate the weight of each element by multiplying 60% by 100g.

To find the weight of nitrogen (N), we can calculate 60% of 100g:

Weight of N = 0.6 * 100g = 60g

Next, we need to find out how much nitrogen is in 14g of the fertilizer. Since we know that 15g of the fertilizer contains 60g of N, we can set up a proportion:

15g / 60g = 14g / x (where x represents the amount of N in 14g of the fertilizer)

Cross multiplying, we get:

15g * x = 60g * 14g
x = (60g * 14g) / 15g
x = 56g

So, there are 56g of nitrogen in 14g of the fertilizer.

As for the concentration of nitrogen atoms in the solution, we need to take into account the fact that the recommended usage is 14g of fertilizer per 5dm^3 of water. Since the weight of nitrogen in 14g of fertilizer is 56g, we can now calculate the concentration of nitrogen atoms.

Concentration of N atoms = (56g / 5dm^3) / 14g

Now, I'm afraid I can't perform the final calculation for you, but use the given formula to divide 56g by 5dm^3 and then divide by 14g to find the concentration of nitrogen atoms in the solution.

Remember, when the going gets tough with math problems, it's always good to sprinkle a little laughter to keep your spirits high!

To calculate the concentration of nitrogen atoms in the fertilizer solution, you need to understand how to convert grams of the fertilizer to moles, and then use the ratio of nitrogen atoms to moles of the fertilizer.

Here's a step-by-step explanation of how to solve this problem:

1. Start by determining the mass of nitrogen in the fertilizer. The ratio of nitrogen to the total mass of the fertilizer is given as 15g:60g (N:P:K = 15g:30g:15g). Since the total mass is 100g, the mass of nitrogen is (15g/60g)*100g = 25g.

2. Next, convert the mass of nitrogen to moles. To do this, divide the mass of nitrogen by the molar mass of nitrogen (14g/mol). The calculation is as follows: 25g / 14g/mol = 1.79 mol.

3. Now, calculate the concentration of nitrogen atoms in the solution. One mole of any element contains Avogadro's number of atoms (6.022 x 10^23 atoms/mol). Multiply the number of moles of nitrogen by Avogadro's number to get the number of nitrogen atoms: 1.79 mol * (6.022 x 10^23 atoms/mol) = 1.08 x 10^24 nitrogen atoms.

4. Finally, determine the concentration of nitrogen atoms in the solution. The recommended usage of the fertilizer is 14g per 5dm³ (cubic decimeter or liter) of water. To calculate the concentration, divide the number of nitrogen atoms by the volume of the solution in dm³. The calculation is as follows: (1.08 x 10^24 atoms) / (5 dm³) = 2.16 x 10^23 nitrogen atoms/dm³.

Therefore, the concentration of nitrogen atoms in the solution is 2.16 x 10^23 nitrogen atoms/dm³.