sodium is 87 bicarbonate is 23. what is the percentage of sodium in total amount
The correct answer and explanation is:
To calculate the percentage of sodium in the total amount, the formula is: Percentage of sodium=(Mass of sodiumTotal mass)×100\text{Percentage of sodium} = \left( \frac{\text{Mass of sodium}}{\text{Total mass}} \right) \times 100
Given:
- Mass of sodium = 87
- Mass of bicarbonate = 23
First, add the masses of sodium and bicarbonate to find the total mass: Total mass=87+23=110\text{Total mass} = 87 + 23 = 110
Now, calculate the percentage of sodium: Percentage of sodium=(87110)×100≈79.09%\text{Percentage of sodium} = \left( \frac{87}{110} \right) \times 100 \approx 79.09\%
So, the percentage of sodium in the total amount is approximately 79.09%.
Explanation:
The percentage is a way of expressing the proportion of one part of a mixture relative to the whole. Here, sodium and bicarbonate are mixed, and we are trying to find out how much of the total mass comes from sodium.
First, the total mass of the two components (sodium and bicarbonate) is calculated by adding their individual masses. This gives a combined mass of 110 units.
Then, the sodium’s mass (87 units) is divided by the total mass (110 units). This gives the fraction of sodium in the mixture. To express this fraction as a percentage, multiply by 100.
The result is about 79.09%. This means that approximately 79.09% of the total mass of the sodium-bicarbonate mixture comes from sodium.
This calculation is useful in fields like chemistry and nutrition where it’s necessary to know the relative proportions of components in a mixture. Understanding percentages helps to assess concentrations and the distribution of materials in a given sample.