A mettallurgist decided to make a special alloy. He melted 30 grams of Au(Gold) with 30 grams of Pb. This melting process resulted to 42 grams of an Au-Pb alloy and some leftover Pb. This scientist wanted to make 420 grams of this alloy with no leftovers of any reactants. how much of Au and Pb would he need to use in order to have the desired grams of the alloy?
Au + Pb = Au-Pb left over
Not a great deal of chemistry here as it is by proportion.
He melted 30 grams of Au (gold) with 30 grams of Pb. This melting process resulted to 42 grams of an Au-Pb alloy and some leftover Pb.
So assume all the gold is incorporated then (42-30) g of lead used, which is 12 g.
Thus for each 42 g of alloy, 30 g of gold and 12 g of lead are needed.
Hence for 420 g (42 g x 10), 300 g (30 g x 10) of gold and 120 g (12 g x 10)of lead are needed.
From the information given, we can gather that the reaction between Au and Pb forms an Au-Pb alloy, with some leftover Pb remaining.
To find out how much Au and Pb are needed to create 420 grams of the alloy, we need to determine the ratio between the Au and Pb in the reaction.
Let's first calculate the mass of Pb leftover in the reaction. If 30 grams of Au and 30 grams of Pb were initially used, and the resulting alloy is 42 grams, the mass of leftover Pb can be calculated as follows:
Mass of leftover Pb = Initial mass of Pb - Mass of alloy
Mass of leftover Pb = 30 grams - 42 grams
Mass of leftover Pb = -12 grams
As we obtained a negative value for the mass of leftover Pb, it implies that all of the 30 grams of Pb reacted to form the alloy, and there is none left over.
Now let's determine the ratio between Au and Pb in the alloy. From the reaction equation, we can see that the ratio is 1:1, meaning that for every gram of Au, we need 1 gram of Pb.
To create 420 grams of the alloy, we need an equal amount of Au and Pb. Therefore, we need:
Mass of Au = Mass of Pb = 420 grams / 2 = 210 grams
So, the metallurgist would need to use 210 grams of Au and 210 grams of Pb to obtain the desired 420 grams of the Au-Pb alloy with no leftovers.