The formula for density is given by p equals StartFraction M Over V EndFraction, where p is density, M is mass and V is volume. If a substance has a mass of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ml?

Question

7.7
7.7278
7.73
0.1

Answer 1

To calculate the density \( p \) of the substance, you can use the formula:

\[ p = \frac{M}{V} \]

where \( M \) is the mass and \( V \) is the volume. Given that the mass \( M \) is 27.82 grams and the volume \( V \) is 3.6 mL, you can substitute these values into the formula:

\[ p = \frac{27.82 , \text{g}}{3.6 , \text{mL}} \]

Calculating this gives:

\[ p = 7.727777778 , \text{g/mL} \]

Now we need to round this to an appropriate level of precision. Typically, it's best to round based on the significant figures of the measured quantities (mass and volume).

• The mass (27.82 g) has 4 significant figures.
• The volume (3.6 mL) has 2 significant figures.

Since volume has the lesser number of significant figures (2), we round the final answer to 2 significant figures.

Thus, 7.727777778 rounds to 7.73 (to 2 significant figures).

Therefore, the most accurate density of the substance in g/ml is:

7.73 g/mL