Final answer:
The mass of tin in 87.75 kg of bronze is 3,510 g, calculated by taking 4% of the total mass of bronze since tin constitutes 4% of the initial 100 g sample of bronze.
Step-by-step explanation:
To find the mass of tin in 87.75 kg of bronze, we first determine the proportion of tin in the initial sample of 100 g of bronze. Since 4 g of the 100 g is tin, this means tin makes up 4% of the bronze by mass. To find the mass of tin in 87.75 kg of bronze, we calculate 4% of 87.75 kg.
The calculation is as follows:
- First, convert the mass of bronze from kilograms to grams to match the units: 87.75 kg × 1000 g/kg = 87,750 g
- Then, calculate 4% of 87,750 g: (4/100) × 87,750 g = 3,510 g
Thus, the mass of tin in 87.75 kg of bronze is 3,510 g.