Question

the formula for density is given by $p = \frac{m}{v}$, where p is density, m is mass and v is volume. if a subst of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ 7.7 7.7278 7.73 0.1

Explanation:

Step1: Substitute values into formula

Given \(M = 27.82\) grams and \(V=3.6\) ml, substitute into \(
ho=\frac{M}{V}\). So \(
ho=\frac{27.82}{3.6}\).

Step2: Calculate the value

\(\frac{27.82}{3.6}=7.7277\cdots\approx7.73\) (rounded to two decimal places as per significant - figure rules. The least number of significant figures in the given values \(27.82\) (four significant figures) and \(3.6\) (two significant figures) is two. But when calculating density, if we consider the precision of the measuring instruments (assuming \(3.6\) is two - decimal - place precision for volume and \(27.82\) is two - decimal - place for mass), we can also check the options. Option \(7.7278\) is too precise (five significant figures) considering the input data. Option \(7.7\) is one - decimal - place, and \(7.73\) is two - decimal - place which is a reasonable balance. Option \(0.1\) is incorrect as \(\frac{27.82}{3.6}>1\)).

Answer:

7.73