Mass of helium atom is 6.64 × 10^-27 kg and mass of atom is 3.95 × 10^-25 Kg . What is the total mass ? pls it’s not the avogrado’s number question pls see the question properly and answer in notebook
The Correct Answer and Explanation is:
To find the total mass, we need to add the masses of the helium atom and the other atom.
Given:
- Mass of a helium atom = 6.64 × 10⁻²⁷ kg
- Mass of the other atom = 3.95 × 10⁻²⁵ kg
To find the total mass, we simply add these two values:
Total mass = (6.64 × 10⁻²⁷) + (3.95 × 10⁻²⁵)
Since these are in different powers of ten (10⁻²⁷ and 10⁻²⁵), we need to adjust them to have the same exponent to add them properly. To do this, we convert 6.64 × 10⁻²⁷ to have the same power of ten as 3.95 × 10⁻²⁵.
We rewrite 6.64 × 10⁻²⁷ as:
6.64 × 10⁻²⁷ = 0.0664 × 10⁻²⁵
Now, we can add:
Total mass = (0.0664 × 10⁻²⁵) + (3.95 × 10⁻²⁵)
Total mass = 4.0164 × 10⁻²⁵ kg
Therefore, the total mass is approximately:
4.02 × 10⁻²⁵ kg
Explanation:
When adding or subtracting numbers in scientific notation, the exponents must be the same. This is because the power of 10 determines the scale of the number, so adding numbers with different exponents requires making the exponents equal. In this case, converting 6.64 × 10⁻²⁷ to 0.0664 × 10⁻²⁵ allowed us to easily add the two masses. After the addition, the total mass remains in scientific notation with the same power of ten, which is 10⁻²⁵.
