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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​

Respuesta :

Answer:

[tex]\boxed {\tt 2.71169355 \ mL}[/tex]

Explanation:

Density can be found using the following formula:

[tex]d=\frac {m}{v}[/tex]

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

[tex]d*v =\frac {m}{v}*v[/tex]

[tex]d*v=m[/tex]

[tex]\frac{d*v}{d}=\frac{m}{d}[/tex]

[tex]v=\frac{m}{d}[/tex]

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.

[tex]m= 2.69 \ g\\d= 0.992 \ g/mL[/tex]

Substitute the values into the formula.

[tex]v=\frac{2.69 \ g}{0.992 \ g/mL}[/tex]

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

[tex]v=\frac{2.69}{0.992 \ mL}[/tex]

[tex]v= 2.71169355 \ mL[/tex]

The volume of the water is 2.71169355 milliliters.