A certain molecule contains twice as many atoms of hydrogen as oxygen and one more atom of carbon than hydrogen. If there are 31 atoms altogether in the molecule. how many atoms of carbon are there?
So if oxygen is x, then hydrogen is 2x, and would be 2x+1.
x+2x+2x+1 = 31
5x+1=31
5x=30
x=6
Therefore there are 6 oxygen, 12 hydrogen, and 13 carbon atoms.
maths is very simple u r kmugup formula only and then do sum
Let's assume the number of atoms of oxygen in the molecule is x.
Given that the molecule contains twice as many atoms of hydrogen as oxygen, the number of atoms of hydrogen is 2x.
It is also given that there is one more atom of carbon than hydrogen. Therefore, the number of atoms of carbon is (2x) + 1.
The total number of atoms in the molecule is the sum of the atoms of oxygen, hydrogen, and carbon, which is x + 2x + (2x + 1) = 31.
Combining like terms, we have 5x + 1 = 31.
Subtracting 1 from both sides, we get 5x = 30.
Dividing both sides by 5, we get x = 6.
Therefore, the number of atoms of carbon is (2 * 6) + 1 = 12 + 1 = 13.
So, there are 13 atoms of carbon in the molecule.
To solve this problem, we can set up a system of equations based on the given information.
Let's assume the number of atoms of oxygen in the molecule is x.
According to the given information, the number of atoms of hydrogen is twice that of oxygen, so the number of atoms of hydrogen would be 2x.
The number of atoms of carbon is one more than hydrogen, so the number of atoms of carbon would be 2x + 1.
The total number of atoms in the molecule is given as 31:
x + 2x + (2x + 1) = 31
Simplifying the equation:
5x + 1 = 31
Subtracting 1 from both sides:
5x = 30
Dividing both sides by 5:
x = 6
So, the number of atoms of carbon is 2x + 1:
2(6) + 1 = 13
Therefore, there are 13 atoms of carbon in the molecule.