Increased concentration leads to lower percentage uncertainty than the lower cocnetration why
Increased concentration typically leads to lower percentage uncertainty because when the concentration of a substance is higher, the amount of that substance being measured becomes larger. Thus, any errors or uncertainties in the measurement process become a smaller proportion of the total measured value.
For example, if you have a solution with a low concentration of a solute, the measured value of the solute's mass or volume may be affected by uncertainties in the weighing or measuring apparatus. These uncertainties become proportionally larger when the concentration is lower, leading to a higher percentage uncertainty.
However, when the concentration of the solute is increased, the measured value becomes larger, and the uncertainties become a smaller fraction of the measured value. Hence, the percentage uncertainty decreases as the concentration increases.
Increased concentration leads to lower percentage uncertainty because the percentage uncertainty is calculated by dividing the absolute uncertainty by the measured value and multiplying by 100.
When the concentration is higher, the measured value is larger, which means the denominator in the percentage uncertainty calculation is larger. As a result, the overall percentage uncertainty becomes smaller.
For example, let's consider two solutions with different concentrations. Solution A has a lower concentration, while Solution B has a higher concentration. If the absolute uncertainty is the same for both solutions, when calculating the percentage uncertainty, the measured value for Solution B will be larger than that for Solution A. As a result, the denominator for Solution B will be larger, leading to a lower percentage uncertainty compared to Solution A.
In summary, higher concentration leads to a smaller percentage uncertainty because the numerator (absolute uncertainty) remains the same, while the denominator (measured value) increases.