Question

41.7 g of a substance are added to a graduated flask containing 523 ml of water The
water level rises to the 56.8 ml mark. From this information, calculate the density and
specific gravity

Answer 1

9.266 gm/ml is the density of the substance. 9.266 is the specific gravity of the substance.

Explanation:

Data given:

mass of the substance = 41.7 grams

initial volume of water = 52.3 ml

volume after adding the substance = 56.8 ml

volume of the metal = 56.8 - 52.3 = 4.5 ml

density =?

specific gravity =?

density is calculated by using the following formula:

density = $\frac{mass}{volume}$

            = $\frac{41.7}{4.5}$

density    = 9.266 gm/ml

The ratio of density of the substance with the reference substance density is called specific gravity. In this case the reference substance is water which has density of 1 gm/ml at 4 degrees.

so specific gravity = $\frac{density of substance }{density of water}$

         putting values in above equation:

 specific gravity = $\frac{9.266}{1}$

                             = 9.266 (no units as both denominator and numerator has same units and got cancelled)