Question

a student has a sample of 200g of sugar. for 200g of sucrose there are 84g of carbon. Based on Dalton's atomic theory, how much carbon will be there in 300 g of sucrose? ​

Answer 1

$\huge\mathfrak\red{question↓}$

a student has a sample of 200g of sugar. for 200g of sucrose there are 84g of carbon. Based on Dalton's atomic theory, how much carbon will be there in 300 g of sucrose?

$\huge\mathfrak\green{answer↓}$

For 200 g of sugar

Carbon = 84g

For 300 g of sugar

Carbon = 300 X 84 / 200

= 126 g

Answer 2

Given:

The mass of the sample of sucrose = 200g

The mass of carbon present in the sample = 84g

To find:

The mass of carbon that will be present in 300g of sucrose

Solution:

The mass of carbon that will be present in 300g of sucrose is 126g.

From Dalton's atomic theory, we know that the atoms of different elements combine in a simple fixed ratio by mass to form compounds.

The mass percentage of carbon in a sample = Mass of carbon X 100 / Mass of the compound

For the 200g sample,

Percentage of carbon = 84 X 100 / 200

= 42%

This mass percentage will remain constant for any sample of sucrose.

So, the mass of carbon that will be present in 300g of sucrose =

Mass percentage X Mass of the sample / 100

= 42  X 300 / 100

= 42 X 3

= 126g