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What will be the final volume when a 98.356-g sample of lead (Pb) shot is added to a graduated cylinder holding 24.7 mL of water?

User Hinterbu
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1 Answer

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Final answer:

When adding a 98.356-g lead shot (density 11.34 g/cm³) to 24.7 mL of water, the final volume is 33.37 mL, accounting for the lead's volume contribution. Lead shot volume is calculated using the formula Volume = Mass / Density.

Step-by-step explanation:

To determine the final volume when introducing a 98.356-g lead (Pb) shot into a graduated cylinder containing 24.7 mL of water, consider both the lead shot's volume and the initial water volume. The density of lead is 11.34 g/cm³. Convert the lead shot mass to volume using the formula: Volume = Mass / Density.

Thus, the lead shot's volume is 98.356 g / 11.34 g/cm³ = 8.67 cm³. To find the final volume, combine the lead shot volume with the initial water volume: Final Volume = 8.67 cm³ + 24.7 mL = 33.37 mL.

This calculation accounts for the addition of lead, considering its density, providing a comprehensive understanding of the resulting volume in the graduated cylinder.

User Jugal Shah
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