Question

a compound has 15.39 g of gold for every 2.77 g of chlorine. simplified there is _____ g of gold for every 1 g of chlorine

Answer 1

There is 5.56 g of gold for every 1 g of chlorine

Step-by-step explanation:

The ratio is the relationship between two numbers, defined as the ratio of one number to the other. So, the ratio between two numbers a and b is the fraction
`(a)/(b)`

You know that a compound has 15.39 g of gold for every 2.77 g of chlorine. This can be expressed by the ratio:

`(15.39 g of gold)/(2.77 g of chlorine)`

The proportion is the equal relationship that exists between two reasons and is represented by:
`(a)/(b)=(c)/(d)`

This reads a is a b as c is a d.

To calculate the amount of gold per 1 g of chlorine, the following proportion is expressed:

`(15.39 g of gold)/(2.77 g of chlorine)=(mass of gold)/(1 g of chlorine)`

Solving for the mass of gold gives:

`mass of gold=1 g of chlorine*(15.39 g of gold)/(2.77 g of chlorine)`

mass of gold= 5.56 grams

So, there is 5.56 g of gold for every 1 g of chlorine