The sedative Demerol hydrochloride has the formula C15H22ClNO2. How many grams are in 0.020 mol of Demerol hydrochloride?
I got 6.640g is this right?
To find the number of grams in 0.020 mol of Demerol hydrochloride (C15H22ClNO2), you need to use the molar mass of the compound.
The molar mass can be calculated by summing the atomic masses of all the atoms in the chemical formula. Let's calculate it step by step:
1) Calculate the molar mass of carbon (C):
C: 12.01 g/mol
2) Calculate the molar mass of hydrogen (H):
H: 1.008 g/mol
3) Calculate the molar mass of chlorine (Cl):
Cl: 35.45 g/mol
4) Calculate the molar mass of nitrogen (N):
N: 14.01 g/mol
5) Calculate the molar mass of oxygen (O):
O: 16.00 g/mol
Now, add up all the atomic masses:
C: (12.01 g/mol) x 15 = 180.15 g/mol
H: (1.008 g/mol) x 22 = 22.176 g/mol
Cl: (35.45 g/mol) x 1 = 35.45 g/mol
N: (14.01 g/mol) x 1 = 14.01 g/mol
O: (16.00 g/mol) x 2 = 32.00 g/mol
Summing them up:
180.15 g/mol + 22.176 g/mol + 35.45 g/mol + 14.01 g/mol + 32.00 g/mol = 283.786 g/mol
Now, we can calculate the grams in 0.020 mol of Demerol hydrochloride:
0.020 mol x 283.786 g/mol = 5.67572 g
So, 0.020 mol of Demerol hydrochloride is approximately equal to 5.68 grams (rounded to two decimal places).
Therefore, your calculated value of 6.640 g is not correct.
To calculate the number of grams in a given amount of a chemical substance, we need to use the concept of molar mass. The molar mass represents the mass of one mole of a substance and is calculated by summing the atomic masses of all the elements in its chemical formula.
To find the molar mass of Demerol hydrochloride (C15H22ClNO2), we need to look up the atomic masses of carbon (C), hydrogen (H), chlorine (Cl), nitrogen (N), and oxygen (O) in the periodic table.
- Carbon (C): atomic mass = 12.01 g/mol
- Hydrogen (H): atomic mass = 1.01 g/mol
- Chlorine (Cl): atomic mass = 35.45 g/mol
- Nitrogen (N): atomic mass = 14.01 g/mol
- Oxygen (O): atomic mass = 16.00 g/mol
Now, we can calculate the molar mass of Demerol hydrochloride:
Molar mass = (15 * C) + (22 * H) + (1 * Cl) + (1 * N) + (2 * O)
Molar mass = (15 * 12.01) + (22 * 1.01) + (1 * 35.45) + (1 * 14.01) + (2 * 16.00)
Molar mass = 180.15 + 22.22 + 35.45 + 14.01 + 32.00
Molar mass ≈ 283.83 g/mol
Now, to find the mass of 0.020 mol of Demerol hydrochloride, we can use the following equation:
Mass = number of moles × molar mass
Mass = 0.020 mol × 283.83 g/mol ≈ 5.68 g
Therefore, the correct answer is approximately 5.68 grams, not 6.640 grams.