Question

The density of water at 40°C is 0.992 g/mL. What is the volume of 2.69 g of water at this temperature? V= mL​

Answer 1

`\boxed {\tt 2.71169355 \ mL}`

Step-by-step explanation:

Density can be found using the following formula:

`d=\frac {m}{v}`

Rearrange the formula for v. Multiply both sides by v, then divide both sides by d.

`d*v =\frac {m}{v}*v`

`d*v=m`

`(d*v)/(d)=(m)/(d)`

`v=(m)/(d)`

The volume can be found by dividing the mass by the density. The mass is 2.69 grams and the density is 0.992 grams per milliliter.

`m= 2.69 \ g\\d= 0.992 \ g/mL`

Substitute the values into the formula.

`v=(2.69 \ g)/(0.992 \ g/mL)`

Divide. Note that the grams, or g, will cancel each other out.

`v=(2.69)/(0.992 \ mL)`

`v= 2.71169355 \ mL`

The volume of the water is 2.71169355 milliliters.