You add 9.0 g iron to 28.70 mL of water and observe that the volume of iron and water together is 29.84 mL . Calculate the density

To calculate the density of the iron, we can use the formula: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \] Given: - Mass of iron = 9.0 g - Volume of water = 28.70 mL - Total volume of iron and water = 29.84 mL First, we need to find the volume of the iron. We can do this by subtracting the volume of water from the total volume: \[ \text{Volume of iron} = \text{Total volume} - \text{Volume of water} \] \[ \text{Volume of iron} = 29.84 \, \text{mL} - 28.70 \, \text{mL} \] Now, we can calculate the density of the iron using the formula: \[ \text{Density} = \frac{9.0 \, \text{g}}{29.84 \, \text{mL}} \] Let's calculate the density of the iron. Calculate the value by following steps: - step0: Calculate: \(\frac{9}{29.84}\) - step1: Convert the expressions: \(\frac{9}{\frac{746}{25}}\) - step2: Multiply by the reciprocal: \(9\times \frac{25}{746}\) - step3: Multiply: \(\frac{9\times 25}{746}\) - step4: Multiply: \(\frac{225}{746}\) The density of the iron is approximately 0.3016 g/mL.