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5. what volume of silver metal will mass exactly 2500.0 g? the density …

Question

  1. what volume of silver metal will mass exactly 2500.0 g? the density of silver is 10.5 g/cm³.

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: Substitute values

Given $m = 2500.0\space g$ and $
ho=10.5\space g/cm^3$. Substitute into the formula: $V=\frac{2500.0}{10.5}$.

Step3: Calculate the result

Perform the division: $\frac{2500.0}{10.5}\approx238.1\space cm^3$ (rounded to one decimal place) or using exact fraction, $\frac{2500}{10.5}=\frac{25000}{105}=\frac{5000}{21}\approx238.1$.

Answer:

The volume of silver metal is approximately $\boldsymbol{238.1\space cm^3}$ (or exactly $\boldsymbol{\frac{5000}{21}\space cm^3}$).