Questions: 93 mol/L × 21 L = square mol 560.7 mol ÷ 51.0 L = square mol/L 20.94 g/mL × 80 mL

Solution Steps

To multiply these two measurements, we simply multiply the numerical values and combine the units:

\[ 93 \frac{\mathrm{mol}}{\mathrm{L}} \times 21 \mathrm{L} = 93 \times 21 \, \mathrm{mol} \]

Calculating the product:

\[ 93 \times 21 = 1953 \, \mathrm{mol} \]

Since 93 has 2 significant digits and 21 has 2 significant digits, the result should be rounded to 2 significant digits:

\[ 1953 \rightarrow 2000 \, \mathrm{mol} \]

\(\boxed{2000 \, \mathrm{mol}}\)

To divide these two measurements, we simply divide the numerical values and combine the units:

\[ 560.7 \, \mathrm{mol} \div 51.0 \, \mathrm{L} = \frac{560.7}{51.0} \, \frac{\mathrm{mol}}{\mathrm{L}} \]

Calculating the quotient:

\[ \frac{560.7}{51.0} \approx 10.995 \, \frac{\mathrm{mol}}{\mathrm{L}} \]

Since 560.7 has 4 significant digits and 51.0 has 3 significant digits, the result should be rounded to 3 significant digits:

\[ 10.995 \rightarrow 11.0 \, \frac{\mathrm{mol}}{\mathrm{L}} \]

\(\boxed{11.0 \, \frac{\mathrm{mol}}{\mathrm{L}}\)

To multiply these two measurements, we simply multiply the numerical values and combine the units:

\[ 20.94 \frac{\mathrm{g}}{\mathrm{mL}} \times 80 \, \mathrm{mL} = 20.94 \times 80 \, \mathrm{g} \]

Calculating the product:

\[ 20.94 \times 80 = 1675.2 \, \mathrm{g} \]

Since 20.94 has 4 significant digits and 80 has 1 significant digit, the result should be rounded to 1 significant digit:

\[ 1675.2 \rightarrow 2000 \, \mathrm{g} \]

\(\boxed{2000 \, \mathrm{g}}\)

Final Answer