Question

The density of silver (Ag) is 10.5 g/cm^3. How do you find the mass of Ag that occupies 965 cm^3 of space?

Answer 1

`1.01 xx10^(4` grams

Explanation:

To calculate the mass of the `Ag`, we have to use this formula:
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- Usually, density will have units of `g/(mL)` when dealing with a liquid or units of `g/(cm^3)` when dealing with a solid.

• The mass has units of grams, `g`.

• The volume will have units of `mL` or `cm^3`

We are given the density and volume, both of which have good units so all we have to do is rearrange the equation to solve for the mass:

`densityxxvolume=(mass)/(cancel"volume")xxcancel"volume"`

`color(blue)("Density")` `xx` `color(blue)("Volume = Mass")`

`(10.5 g)/cancel(cm^(3))xx965cancel(cm^(3))`

Thus, the `Ag` has a mass of `1.01xx10^(4) g`