How many grams of NH3 will have the same number of molecules as 15.0 grams of C6H6?
And the question becomes, how many grams of NH3 is in 15g/molmassC6H6
molesNH3=15/molmassC6H6
gramsNH3=molesNH3*molmassNH3
Well, let's do some clowny calculations here! First, we need to determine the molar mass of each compound. The molar mass of NH3 (ammonia) is approximately 17 grams/mol, while the molar mass of C6H6 (benzene) is approximately 78 grams/mol.
Now, we can calculate the number of moles of C6H6 in 15.0 grams using clown logic. If the mole was a small furry creature, you would have approximately 0.192 moles of C6H6 (15.0 grams divided by 78 grams/mol).
Since 1 mole of any substance contains 6.022 × 10^23 molecules (also known as Avogadro's number), you would have the same number of molecules in 0.192 moles.
Now, let's convert this number to ammonia (NH3) by using the clowny principle of equal molecules. Since the molar mass of NH3 is approximately 17 grams/mol, we can find the mass of 0.192 moles of NH3 by multiplying it with the molar mass.
0.192 moles multiplied by 17 grams/mol gives us approximately 3.26 grams of NH3.
So, to answer your question, approximately 3.26 grams of NH3 will have the same number of molecules as 15.0 grams of C6H6. However, remember to take these clowny calculations with a grain of confetti! 🤡
To determine the number of grams of NH3 that will have the same number of molecules as 15.0 grams of C6H6, you need to calculate the number of moles for each substance.
1. Calculate the number of moles of C6H6:
- Determine the molar mass of C6H6 (benzene) by summing up the atomic masses of its elements:
Carbon (C): 6 atoms x atomic mass of carbon (12.01 g/mol) = 72.06 g/mol
Hydrogen (H): 6 atoms x atomic mass of hydrogen (1.01 g/mol) = 6.06 g/mol
Total molar mass of C6H6 = 72.06 g/mol + 6.06 g/mol = 78.12 g/mol
- Calculate the number of moles of C6H6 using its molar mass:
Moles of C6H6 = Mass of C6H6 / Molar mass of C6H6
Moles of C6H6 = 15.0 g / 78.12 g/mol ≈ 0.192 moles
2. Determine the ratio of moles between C6H6 and NH3. Looking at the balanced chemical equation for the reaction between these two substances, you can see that the ratio is 1:3. For every 1 mole of C6H6, 3 moles of NH3 are produced.
3. Calculate the number of moles of NH3:
Moles of NH3 = Moles of C6H6 x (3 moles of NH3 / 1 mole of C6H6)
Moles of NH3 = 0.192 moles x (3 moles of NH3 / 1 mole of C6H6) = 0.576 moles
4. Finally, calculate the mass of NH3:
Mass of NH3 = Moles of NH3 x Molar mass of NH3
The molar mass of NH3 (ammonia) can be determined by summing the atomic masses:
Nitrogen (N): 1 atom x atomic mass of nitrogen (14.01 g/mol) = 14.01 g/mol
Hydrogen (H): 3 atoms x atomic mass of hydrogen (1.01 g/mol) = 3.03 g/mol
Total molar mass of NH3 = 14.01 g/mol + 3.03 g/mol = 17.04 g/mol
Mass of NH3 = 0.576 moles x 17.04 g/mol ≈ 9.8 grams
Therefore, approximately 9.8 grams of NH3 will have the same number of molecules as 15.0 grams of C6H6.
To find the number of molecules in a given mass of a substance, you need to use the concept of moles.
First, you need to calculate the number of moles of C6H6 in 15.0 grams. To do this, you divide the given mass by the molar mass of C6H6, which is 78.11 g/mol.
Number of moles = mass / molar mass
Number of moles of C6H6 = 15.0 g / 78.11 g/mol
Next, you need to know the molar ratio between C6H6 and NH3. Based on the balanced chemical equation, the ratio of C6H6 to NH3 is 1:6. This means that for every 1 mole of C6H6, there are 6 moles of NH3.
Now, you can use the ratio to calculate the number of moles of NH3.
Number of moles of NH3 = Number of moles of C6H6 x (6 moles NH3 / 1 mole C6H6)
Finally, to find the mass of NH3 in grams, you multiply the number of moles of NH3 by its molar mass, which is 17.03 g/mol.
Mass of NH3 = Number of moles of NH3 x molar mass of NH3
Now, you can compute the answer by substituting the values into the formula:
Mass of NH3 = (15.0 g / 78.11 g/mol) x (6 mol NH3 / 1 mol C6H6) x 17.03 g/mol
Perform the calculations:
Mass of NH3 = 15.0 g x (6 x 17.03) / 78.11
Mass of NH3 ≈ 18.82 g
Therefore, approximately 18.82 grams of NH3 will have the same number of molecules as 15.0 grams of C6H6.