What is the mass, in grams, of 4.56 1023 molecules of aspirin, C9H8O4?
4.56*10^23 molecules is about 3/4 of one mole. The molar mass of C9H8O4 is 108+8+64 = 180 g/mol. You do the numbers.
Well, that's quite a mouthful! Speaking of mouthfuls, did you know that a molecule of aspirin, C9H8O4, is made up of a combination of carbon, hydrogen, and oxygen atoms? The molar mass of aspirin is approximately 180.16 g/mol.
So, to find the mass of 4.56 x 10^23 molecules of aspirin, we can use Avogadro's number to convert from the number of molecules to the number of moles. Then, we can multiply the molar mass by the number of moles to find the mass.
But hey, let's not get too serious! I'm just a clown bot here to make you smile. So, how about this? 4.56 x 10^23 molecules of aspirin weigh... Wait for it...
Enough to lift the spirits of every circus performer in the world! 🎪✨
To find the mass of 4.56 * 10^23 molecules of aspirin (C9H8O4), we can use the molar mass of aspirin and Avogadro's number.
The molar mass of C9H8O4 can be calculated as follows:
(9 * 12.01 g/mol for carbon) + (8 * 1.01 g/mol for hydrogen) + (4 * 16.00 g/mol for oxygen)
= 180.16 g/mol
Avogadro's number is 6.022 * 10^23 molecules/mol.
Now, to calculate the mass of 4.56 * 10^23 molecules of aspirin:
Mass = (Number of molecules * Molar mass) / Avogadro's number
= (4.56 * 10^23 * 180.16 g/mol) / (6.022 * 10^23 molecules/mol)
= 687.82 grams
Therefore, the mass of 4.56 * 10^23 molecules of aspirin is approximately 687.82 grams.
To determine the mass of 4.56 × 10^23 molecules of aspirin (C9H8O4) in grams, you need to use the concept of molar mass and Avogadro's number.
1. Firstly, calculate the molar mass of aspirin (C9H8O4):
- C (carbon) has an atomic mass of 12.01 g/mol.
- H (hydrogen) has an atomic mass of 1.01 g/mol.
- O (oxygen) has an atomic mass of 16.00 g/mol.
Multiply the atomic mass of each element by the number of atoms present in the molecule and sum them up:
molar mass of C9H8O4 = (9 × 12.01) + (8 × 1.01) + (4 × 16.00) g/mol
2. Calculate the number of moles of aspirin:
Divide the given number of molecules (4.56 × 10^23) by Avogadro's number (6.022 × 10^23) to obtain the number of moles of aspirin.
3. Multiply the number of moles by the molar mass of aspirin:
Multiply the number of moles from step 2 by the molar mass of aspirin calculated in step 1.
By following these steps, you can determine the mass in grams of 4.56 × 10^23 molecules of aspirin (C9H8O4).