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5. silver has a density of 10.5 g/cm³, and gold has a density of 19.3 g…

Question

  1. silver has a density of 10.5 g/cm³, and gold has a density of 19.3 g/cm³. which would have a greater mass, 5 cm³ of silver or 5 cm³ of gold?

of ethanol has a mass of 3.9 g, and 5.0 ml of benzene has a mass of

Explanation:

Step1: Recall the density formula

The formula for density is $
ho = \frac{m}{V}$, where $
ho$ is density, $m$ is mass, and $V$ is volume. We can rearrange this formula to solve for mass: $m=
ho\times V$.

Step2: Calculate the mass of silver

For silver, $
ho_{silver} = 10.5\ g/cm^{3}$ and $V_{silver}=5\ cm^{3}$. Using the mass formula:
$m_{silver}=
ho_{silver}\times V_{silver}=10.5\ g/cm^{3}\times5\ cm^{3}=52.5\ g$

Step3: Calculate the mass of gold

For gold, $
ho_{gold} = 19.3\ g/cm^{3}$ and $V_{gold}=5\ cm^{3}$. Using the mass formula:
$m_{gold}=
ho_{gold}\times V_{gold}=19.3\ g/cm^{3}\times5\ cm^{3}=96.5\ g$

Step4: Compare the two masses

We compare $m_{silver} = 52.5\ g$ and $m_{gold}=96.5\ g$. Since $96.5\ g>52.5\ g$, gold has a greater mass.

Answer:

$5\ cm^{3}$ of gold would have a greater mass.