Brass is an alloy that is approximately 67% Cu and 33% Zn, by mass. How many grams of Cu and Zn are in a brass doorknocker weighing 2.2 pounds?
lb Zn = 2.2 x 0.33 = ??lb Zn. Convert that to grams.
lb Cu = 2.2 x 0.67 = ??lb Cu. Convert that to grams.
To find out how many grams of Cu and Zn are in the brass doorknocker, we can follow these steps:
Step 1: Convert pounds to grams.
1 lb = 453.592 g (approximately)
Therefore, 2.2 pounds is equal to 2.2 x 453.592 = 997.9024 grams.
Step 2: Calculate the mass of Cu in the doorknocker.
Since brass is approximately 67% Cu, by mass, we can calculate the mass of Cu in grams by multiplying the total mass of the doorknocker by 67%.
Mass of Cu = 997.9024 g x 67% = 667.910168 g (approximately)
Step 3: Calculate the mass of Zn in the doorknocker.
Since brass is approximately 33% Zn, by mass, we can calculate the mass of Zn in grams by multiplying the total mass of the doorknocker by 33%.
Mass of Zn = 997.9024 g x 33% = 329.992792 g (approximately)
Therefore, the doorknocker is composed of approximately 667.910168 grams of Cu and 329.992792 grams of Zn.
To determine the amount of Cu and Zn in the brass doorknocker, we can follow these steps:
Step 1: Convert the weight from pounds to grams.
1 pound is approximately equal to 453.592 grams. So, the weight of the doorknocker is 2.2 pounds x 453.592 grams/pound = 997.9024 grams.
Step 2: Calculate the mass of Cu and Zn.
Since brass is approximately 67% Cu and 33% Zn, we can calculate the mass of Cu and Zn using the percentages.
Mass of Cu = 67% x 997.9024 grams = 667.9257 grams
Mass of Zn = 33% x 997.9024 grams = 329.9767 grams
Therefore, the brass doorknocker contains approximately 667.93 grams of Cu and 329.98 grams of Zn.