Final answer:
The question is about calculating density using significant figures rules. The operation involves multiplication and subtraction, and the final answer must be reported with the correct number of significant figures, keeping in mind the precision of the measurements provided.The correct option is: b) 2.56 g/mL.
Step-by-step explanation:
The question involves performing a calculation with significant figures. To determine the density, which is mass per unit volume, we must follow the rules for significant figures in multiplication, division, addition, and subtraction.
The calculation should be as follows:
First, we perform the multiplication of 3.478 g and 1.164 g which is not shown here, but we must make sure to use the correct significant figures.
After that, we subtract the volumes considering the proper significant figures of each value.
Without the actual multiplication result of the first step, it's not possible to carry out the next steps or confirm the answer. However, when rounding calculations, it's critical to use the correct number of significant figures. For instance:
If the product of two numbers is 0.866728... g/mL, then the three significant figures answer would be 0.867 g/mL.
When you have a division that results in 7.80 g/cm³ from numbers with three significant figures, you also round the answer to three significant figures.
When adding or subtracting values such as 16.7 and 5.24 to get 21.94 g, we must round the result to 21.9 g since the first value only has significant figures up to the tenths place.
Overall, you must ensure that your final answer reflects the accuracy and certainty of each measurement used in the calculation.The correct option is: b) 2.56 g/mL.