Final answer:
The question involves finding density, which is mass divided by volume, with the answer rounded to the correct number of significant figures. After dividing 1.4 g by 2.6 mL, we round the result to two significant figures, as both given values have two significant figures. The correct answer is (c) 5.4 x 10^-1 g/mL.
Step-by-step explanation:
To complete the calculation and round off the answer to the correct number of significant figures, we must consider the least number of significant figures in the given values. We are given 1.4 g and 2.6 mL, which are to be combined in a division to find density. Since both numbers have two significant figures, the result should also have two significant figures. The calculation for density would be:
density = mass / volume = 1.4 g / 2.6 mL
Performing the division:
density = 0.538461538... g/mL
Rounding to two significant figures, we get:
density = 0.54 g/mL
Since none of the options given in the question are in correct form, we should convert 0.54 into scientific notation with the correct number of significant figures:
density = 5.4 x 10^-1 g/mL
Therefore, the correct answer is:
(c) 5.4 x 10^-1 g/mL