Question

A compound of copper and sulfur contains 88.39 g of metal and 44.61 g of nonmetaL How many grams of copper are in 5264 kg of compound? How many grams of sulfur?

Answer 1

Answer: The mass of copper and sulfur in given amount of compound will be 3498383.16 g and 1765616.84 g respectively.

Step-by-step explanation:

We are given:

Mass of metal (copper) = 88.39 g

Mass of non-metal (sulfur ) = 44.61 g

Mass of compound = Mass of metal + Mass of non-metal = (88.39 + 44.61) = 133 g

Mass of compound = 5264 kg = 5264000 g (Conversion factor: 1 kg = 1000 g)

To calculate the mass of copper and sulfur in given amount of compound, we use unitary method:

• For Copper:

In 133 g of compound, the mass of copper is 88.39 g

So, in 5264000 g of compound, the mass of copper will be =
`(88.39)/(133)* 5264000=3498383.16g`

• For Sulfur:

In 133 g of compound, the mass of sulfur is 44.61 g

So, in 5264000 g of compound, the mass of sulfur will be =
`(44.61)/(133)* 5264000=1765616.84g`

Hence, the mass of copper and sulfur in given amount of compound will be 3498383.16 g and 1765616.84 g respectively.

Answer 2

The mass of copper in 5264 kg of compound are, 3498383.158 g

The mass of sulfur in 5264 kg of compound are, 1765616.842 g

Explanation : Given,

Mass of metal = 88.39 g

Mass of non-metal = 44.61 g

Given mass of compound = 5264 kg = 5264000 g (1 kg = 1000 g)

Now we have to calculate the total mass of compound.

Total mass of compound = Mass of metal + Mass of non-metal

Total mass of compound = 88.39 + 44.61 = 133 g

Now we have to calculate the mass of copper.

As, 133 g of compound contains 88.39 g of copper

So, 5264000 g of compound contains
`(5264000)/(133)* 88.39=3498383.158g` of copper

The mass of copper in 5264 kg of compound are, 3498383.158 g

Now we have to calculate the mass of sulfur.

As, 133 g of compound contains 44.61 g of sulfur

So, 5264000 g of compound contains
`(5264000)/(133)* 44.61=1765616.842g` of sulfur

The mass of sulfur in 5264 kg of compound are, 1765616.842 g