Methane gas contains carbon atoms and hydrogen atoms in the ratio of 1:4 . A sample of methane gas contains 90 atoms. What value should be inserted into each rectangle? (1 point) The number should be inserted into each rectangle.

Answer 1

The ratio of carbon atoms to hydrogen atoms in methane is 1:4. This means that for every carbon atom, there are 4 hydrogen atoms.

Let's use x to represent the number of carbon atoms in the sample of methane gas.

Since the ratio is 1:4, the number of hydrogen atoms will be 4x.

The total number of atoms in the sample is given as 90.

So, we can set up the equation:
x + 4x = 90

Simplifying the equation, we get:
5x = 90

To solve for x, we divide both sides of the equation by 5:
x = 90/5 = 18

Therefore, the value to insert into the rectangle representing carbon atoms is 18, and the value to insert into the rectangle representing hydrogen atoms is 4x, which is 4*18 = 72.