Final answer:
To find the mass of tin in a bronze statue with a volume of 68.3 mL and a density of 7.34 g/mL, calculate the total mass of the statue, find the mass of copper using the given percentage, and subtract this from the total mass. The mass of tin is approximately 30.465 grams.
Step-by-step explanation:
The statue has a volume of 68.3 mL and is made of an alloy of copper and tin with a density of 7.34 g/mL. Given that the percentage of copper in the statue is 94.0%, we can calculate the mass of the statue and subsequently the mass of tin in it. Here's how you can calculate it:
- Calculate the total mass of the statue using the density formula, which is mass = density × volume. Mass = 7.34 g/mL × 68.3 mL = 501.082 g (total mass of the statue).
- Calculate the mass of copper by taking 94.0% of the total mass. Mass of copper = 94.0% × 501.082 g = 470.617 g.
- Subtract the mass of copper from the total mass of the statue to find the mass of tin. Mass of tin = 501.082 g - 470.617 g = 30.465 g.
Thus, the mass of tin in the statue is approximately 30.465 grams.