Questions: Counting significant digits when measurements multiply or divide the following measurements. 93.4 mol/L × 17 L = [ mol

Solution Steps

First, we need to determine the number of significant digits in each measurement:

• \( 93.4 \frac{\mathrm{mol}}{\mathrm{L}} \) has 3 significant digits.
• \( 17 \, \mathrm{L} \) has 2 significant digits.

Next, we multiply the two measurements: \[ 93.4 \frac{\mathrm{mol}}{\mathrm{L}} \times 17 \, \mathrm{L} = 1587.8 \, \mathrm{mol} \]

Since the measurement with the fewest significant digits (17 L) has 2 significant digits, we round the result to 2 significant digits: \[ 1587.8 \rightarrow 1600 \, \mathrm{mol} \]

Final Answer