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4. calculate the volume of a liquid with a density of 5.45 g/ml and a m…

Question

  1. calculate the volume of a liquid with a density of 5.45 g/ml and a mass of 65 g.

Explanation:

Step1: Recall density formula

The formula for density is $
ho = \frac{m}{V}$, where $
ho$ is density, $m$ is mass, and $V$ is volume. We need to solve for $V$, so rearrange the formula to $V = \frac{m}{
ho}$.

Step2: Identify given values

We are given $
ho = 5.45\ \text{g/mL}$ and $m = 65\ \text{g}$.

Step3: Substitute values into formula

Substitute $m = 65\ \text{g}$ and $
ho = 5.45\ \text{g/mL}$ into $V = \frac{m}{
ho}$: $V = \frac{65\ \text{g}}{5.45\ \text{g/mL}}$.

Step4: Calculate the volume

Perform the division: $\frac{65}{5.45} \approx 11.93\ \text{mL}$ (rounded to two decimal places).

Answer:

Approximately $11.93\ \text{mL}$ (or more precisely $\frac{65}{5.45} \approx 11.93$ mL)