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

Answer:

$\boxed {\tt 2.71169355 \ mL}$

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.

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

$d*v=m$

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

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

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.

$v=\frac{2.69 \ g}{0.992 \ g/mL}$

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

$v=\frac{2.69}{0.992 \ mL}$

$v= 2.71169355 \ mL$

The volume of the water is 2.71169355 milliliters.