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
Carbon atoms: 10
Hydrogen atoms: 40
To find the values to insert into each rectangle, let's first determine the number of carbon and hydrogen atoms in the sample of methane gas.
Given:
Ratio of carbon to hydrogen atoms = 1:4
Total number of atoms = 90
Let's assume the number of carbon atoms is "x".
According to the ratio, the number of hydrogen atoms will be 4x.
Therefore, the total number of atoms in the sample can be expressed as: x + 4x = 5x
Given that 5x is equal to 90, we can solve for x:
5x = 90
x = 90/5
x = 18
Now that we have the value of x, we can determine the number of carbon and hydrogen atoms:
Number of carbon atoms = x = 18
Number of hydrogen atoms = 4x = 4(18) = 72
So, the values to insert into each rectangle are:
Carbon atoms: 18
Hydrogen atoms: 72
To find the value that should be inserted into each rectangle, we need to determine the number of carbon atoms and hydrogen atoms in the sample of methane gas.
Let's denote the number of carbon atoms as 'x'. As per the given ratio, the number of hydrogen atoms is 4 times the number of carbon atoms, so the number of hydrogen atoms can be represented as '4x'.
According to the information provided, the sample of methane gas contains a total of 90 atoms. This means that the sum of carbon atoms and hydrogen atoms in the sample is 90:
x + 4x = 90
Combining like terms, we can simplify the equation to:
5x = 90
To find the value of 'x', we divide both sides of the equation by 5:
x = 90/5
x = 18
Now that we have determined the value of 'x' to be 18, we can substitute this value into the equations:
Number of carbon atoms: x = 18
Number of hydrogen atoms: 4x = 4(18) = 72
Thus, the value to be inserted into the rectangle for the number of carbon atoms is 18, and the value to be inserted for the number of hydrogen atoms is 72.