Aspirin, C9H8O4, is a common pain reliever and is also often given in low doses daily for prevention of heart attacks. How many grams of aspirin are present in a sample that contains 0.0745 mol?
13.421473 g
2420 g
13.4 g
0.000414 g
To calculate the mass of aspirin in grams, we first need to determine the molar mass of aspirin (C9H8O4).
Molar mass of carbon (C) = 12.01 g/mol
Molar mass of hydrogen (H) = 1.01 g/mol
Molar mass of oxygen (O) = 16.00 g/mol
Calculating the molar mass of aspirin:
(9 * Molar mass of carbon) + (8 * Molar mass of hydrogen) + (4 * Molar mass of oxygen)
= (9 * 12.01 g/mol) + (8 * 1.01 g/mol) + (4 * 16.00 g/mol)
= 108.09 g/mol + 8.08 g/mol + 64.00 g/mol
= 180.17 g/mol
Now, we can calculate the mass of the sample using the number of moles given:
Mass of aspirin = Number of moles * Molar mass
= 0.0745 mol * 180.17 g/mol
= 13.395865 g
Rounding the result to the correct number of significant figures, the mass of aspirin in the sample is 13.4 g.
To determine the grams of aspirin present in a sample, you need to use the molar mass of aspirin.
The molar mass of aspirin (C9H8O4) can be calculated by adding up the atomic masses of each element in the molecule:
C (carbon): 12.01 g/mol
H (hydrogen): 1.008 g/mol
O (oxygen): 16.00 g/mol
(9 * 12.01 g/mol) + (8 * 1.008 g/mol) + (4 * 16.00 g/mol) = 180.16 g/mol
Now you can calculate the grams of aspirin present in the sample using the given number of moles (0.0745 mol):
0.0745 mol * 180.16 g/mol = 13.421473 g
Therefore, the answer is approximately 13.421473 grams of aspirin in the sample. Rounded to the correct number of significant figures, the answer is 13.4 g.
To find the number of grams of aspirin in a sample containing 0.0745 mol, we need to use the molar mass of aspirin (C9H8O4) to convert from moles to grams.
1. Start by calculating the molar mass of aspirin:
- The atomic masses of carbon (C), hydrogen (H), and oxygen (O) are 12.01 g/mol, 1.01 g/mol, and 16.00 g/mol, respectively.
- Multiply the atomic mass of each element by the number of atoms present in the chemical formula.
The chemical formula C9H8O4 has:
- 9 carbon atoms (9 * 12.01 g/mol = 108.09 g/mol)
- 8 hydrogen atoms (8 * 1.01 g/mol = 8.08 g/mol)
- 4 oxygen atoms (4 * 16.00 g/mol = 64.00 g/mol)
- Add up the atomic masses of all the elements: 108.09 g/mol + 8.08 g/mol + 64.00 g/mol = 180.17 g/mol
2. Now, use the molar mass calculated in step 1 to convert from moles to grams.
Multiply the number of moles (0.0745 mol) by the molar mass of aspirin (180.17 g/mol):
0.0745 mol * 180.17 g/mol ≈ 13.421473 g
Therefore, the correct answer is approximately 13.421473 g.