Question

09 question (2 points)
you are trying to determine the identity of an unknown metal object using density. you measure the volume by displacement using a graduated cylinder. the initial volume is 14.7 ml, and the final volume is 23.5 ml. the mass is measured using a balance and is determined to be 68.895 g.
the calculation you use to find the answer is:
\text{density} = \frac{68.895 \text{g}}{(23.5 \text{ml} - 14.7 \text{ml}) \times \frac{1 \text{cm}^3}{1 \text{ml}}}

1st attempt

part 1 (1 point)
how many significant figures should your result contain? (square) significant figures

part 2 (1 point)
what is the calculated density? express your answer to the correct number of significant figures.
(square) (\text{g/cm}^3)

Explanation:

Part 1

Step1: Analyze volume subtraction

The volume difference is \(23.5\space mL - 14.7\space mL = 8.8\space mL\) (two significant figures in the decimal part difference, but the result has two significant figures? Wait, no: \(23.5\) has three, \(14.7\) has three, so subtraction gives \(8.8\) (two decimal places? No, significant figures for subtraction: the number of decimal places. \(23.5\) has one decimal place, \(14.7\) has one decimal place, so result has one decimal place, \(8.8\) (two significant figures? Wait, \(8.8\) has two significant figures? No, \(8.8\) has two significant figures? Wait, \(23.5 - 14.7 = 8.8\), which has two significant figures? Wait, no: \(23.5\) is three sig figs, \(14.7\) is three sig figs. Subtraction: the result has the same number of decimal places as the least precise measurement. Both have one decimal place, so \(8.8\) (one decimal place, two sig figs? Wait, \(8.8\) has two significant figures? Wait, no: \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, no, \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? Wait, n…

Answer:

Step1: Analyze volume subtraction

The volume difference is \(23.5\space mL - 14.7\space mL = 8.8\space mL\) (two significant figures in the decimal part difference, but the result has two significant figures? Wait, no: \(23.5\) has three, \(14.7\) has three, so subtraction gives \(8.8\) (two decimal places? No, significant figures for subtraction: the number of decimal places. \(23.5\) has one decimal place, \(14.7\) has one decimal place, so result has one decimal place, \(8.8\) (two significant figures? Wait, \(8.8\) has two significant figures? No, \(8.8\) has two significant figures? Wait, \(23.5 - 14.7 = 8.8\), which has two significant figures? Wait, no: \(23.5\) is three sig figs, \(14.7\) is three sig figs. Subtraction: the result has the same number of decimal places as the least precise measurement. Both have one decimal place, so \(8.8\) (one decimal place, two sig figs? Wait, \(8.8\) has two significant figures? Wait, no: \(8.8\) is two significant figures? Wait, no, \(8.8\) has two significant figures? 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