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.
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.
To determine the value that should be inserted into each rectangle, we need to find the ratio of carbon atoms to hydrogen atoms based on the given information.
The ratio of carbon atoms to hydrogen atoms in methane gas is 1:4. This means that for every 1 carbon atom, there are 4 hydrogen atoms.
In the sample of methane gas, we are given that there are a total of 90 atoms. Let's assume the number of carbon atoms in the sample is "x." Then the number of hydrogen atoms in the sample would be 4x, as there are four times as many hydrogen atoms as carbon atoms.
Therefore, the equation to represent the total number of atoms in the sample would be:
x + 4x = 90
Simplifying this equation:
5x = 90
Now, we can solve for x by dividing both sides of the equation by 5:
x = 90 / 5
x = 18
So, the value that should be inserted into each rectangle is 18.
To find the value that should be inserted into each rectangle, we need to determine the number of carbon and hydrogen atoms in the sample of methane gas.
Given that methane gas contains carbon and hydrogen atoms in the ratio of 1:4, we can set up a proportion:
Carbon atoms / Hydrogen atoms = 1 / 4
Let's assume the number of carbon atoms is x. Then, the number of hydrogen atoms is 4x.
Since the total number of atoms in the sample is 90, we can set up another equation:
x + 4x = 90
Simplifying the equation:
5x = 90
x = 90 / 5
x = 18
Therefore, the value that should be inserted into each rectangle is 18.
So, the number [ 18 ] should be inserted into each rectangle.