Multiply or divide the following measurement be sure each answer you enter contains the correct number of significant digits
20.9476mol/L*18 L=?mol
93 mol/L*55L=?mol
667.8g divided by 58.773mL=?g/mL
20.9476 mol/L * 18 L = 376.0568 mol
93 mol/L * 55 L = 5115 mol
667.8 g divided by 58.773 mL = 11.36 g/mL
To multiply or divide measurements, follow these steps:
1. Count the number of significant digits in each measurement.
2. Perform the multiplication or division.
3. Round the final answer to the same number of significant digits as the measurement with the least number of significant digits.
Let's solve the calculations step by step:
1) Multiplication:
20.9476 mol/L * 18 L = ?
The measurement with the fewest significant digits is 18 L, which has two significant digits.
Performing the multiplication: 20.9476 mol/L * 18 L = 377.0576 mol.
Since 18 L has two significant digits, round the answer to two significant digits: 377.0576 mol ≈ 380 mol.
Therefore, 20.9476 mol/L * 18 L = 380 mol.
2) Multiplication:
93 mol/L * 55 L = ?
The measurement with the fewest significant digits is 55 L, which has two significant digits.
Performing the multiplication: 93 mol/L * 55 L = 5115 mol.
Since 55 L has two significant digits, round the answer to two significant digits: 5115 mol ≈ 5100 mol.
Therefore, 93 mol/L * 55 L = 5100 mol.
3) Division:
667.8 g ÷ 58.773 mL = ?
The measurement with the fewest significant digits is 667.8 g, which has four significant digits.
Performing the division: 667.8 g ÷ 58.773 mL = 11.376553 g/mL.
Since 58.773 mL has five significant digits, round the answer to five significant digits: 11.376553 g/mL ≈ 11.377 g/mL.
Therefore, 667.8 g ÷ 58.773 mL = 11.377 g/mL.