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?

the number [ ] should be inserted into each rectangle.

1 answer

The ratio of carbon atoms to hydrogen atoms in methane gas is 1:4.

Let's assume the number of carbon atoms to be x and the number of hydrogen atoms to be 4x.

According to the given information, the total number of atoms in the sample is 90.

Therefore, x + 4x = 90.

Simplifying the equation, 5x = 90.

Dividing both sides of the equation by 5, x = 18.

So, the number in the first rectangle (carbon atoms) should be 18, and the number in the second rectangle (hydrogen atoms) should be 4 times 18, which is 72.