14 carat gold has a purity of 58.3% How many moles of gold are in 124 grams of 14 carat gold ?! Answer in units of moles.
how would yu do this problem ?! explain pleasee. !
Assume the at the % is weight %
58.3 % of 125 g = x g
x g/RAM of Au = number of moles
what's RAM of Au ?! atomic weight...?!
To solve this problem, we need to follow a few steps:
1. Calculate the total mass of gold present in the 14-carat gold sample.
2. Convert the mass of gold to moles using the molar mass of gold.
Step 1: Calculate the total mass of gold
Since 14-carat gold has a purity of 58.3%, it means that 58.3 grams out of every 100 grams of the sample is pure gold.
To find the mass of gold in 124 grams of 14-carat gold, we can use the following proportion:
(58.3 g gold / 100 g) = (x g gold / 124 g)
We need to solve for 'x,' the mass of gold in the 124 grams of the sample.
Cross-multiplying the equation, we get:
(58.3 g gold * 124 g) = (100 g * x g gold)
Simplifying further:
x = (58.3 g gold * 124 g) / 100 g
x = 72.092 g gold
Step 2: Convert the mass of gold to moles
To convert the mass of gold to moles, we need to divide the mass of gold by its molar mass.
The molar mass of gold is the atomic mass of gold, which is 196.97 g/mol.
So, to find the number of moles of gold in 72.092 grams, we use the following equation:
moles = mass / molar mass
moles = 72.092 g / 196.97 g/mol
Calculating this:
moles = 0.3658 mol
Therefore, there are approximately 0.3658 moles of gold in 124 grams of 14-carat gold.