Question

1. a lead pellet has a volume of 1.2x10⁻³ ml (0.012 ml) and a density of 11.3 g/ml. what is the mass of the lead pellet? 6. a thermometer contains 5.00x10⁻¹ ml (0.5 ml) of mercury and mercury has a density of 13.59 g/ml. what is the mass of mercury? 7. a silver necklace has a density of 10.5 g/ml and a volume of 1.5 ml. what is the mass of the silver necklace?

Explanation:

Step1: Recall density - mass - volume formula

The formula for density is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass, and $V$ is volume. We can re - arrange it to find mass $m =
ho\times V$.

Step2: Solve for mass of silver necklace

Given $
ho_{silver}=10.5\ g/mL$ and $V_{silver}=1.5\ mL$. Using $m =
ho\times V$, we have $m_{silver}=10.5\ g/mL\times1.5\ mL$.
$m_{silver}=15.75\ g$

Step3: Solve for mass of mercury in thermometer

Given $
ho_{mercury}=13.59\ g/mL$ and $V_{mercury}=0.5\ mL$. Using $m =
ho\times V$, we get $m_{mercury}=13.59\ g/mL\times0.5\ mL$.
$m_{mercury}=6.795\ g$

Step4: Solve for mass of lead pellet

Given $
ho_{lead}=11.3\ g/mL$ and $V_{lead}=0.012\ mL$. Using $m =
ho\times V$, we obtain $m_{lead}=11.3\ g/mL\times0.012\ mL$.
$m_{lead}=0.1356\ g$

Answer:

The mass of the silver necklace is $15.75\ g$, the mass of mercury in the thermometer is $6.795\ g$, and the mass of the lead pellet is $0.1356\ g$.