How much tin is needed to make a bronze piece that will contain 475 g of copper? Bronze is 90% Cu and 10% Sn by mass. A) 4.3 × 10³ g B) 890 g C) 48 g D) 52.8 g E) 430 g

Question

Quizplus · Accepted Answer

Since bronze is 90% Cu and 10% Sn by mass, then the mass of Sn in the bronze piece is 10% of its total mass.

Let x be the total mass of the bronze piece. Then the mass of Cu in the bronze piece is 90% of x, which is 0.9x.

We know that the bronze piece will contain 475 g of Cu, so:
0.9x = 475
x = 527.78

Therefore, the total mass of the bronze piece is approximately 527.78 g.

To find the mass of Sn in the bronze piece, we multiply the total mass of the bronze piece by the percentage of Sn in the alloy:
0.1 * 527.78 = 52.78

Therefore, approximately 52.8 g of tin is needed to make the bronze piece.

How Much Tin Is Needed to Make a Bronze Piece