Answer :
Final Answer:
The absolute uncertainty in [tex]\frac{m}{z}[/tex] is 0.0002 at [tex]\frac{m}{z}[/tex] 100 and 4 at [tex]\frac{m}{z}[/tex] 20000, given a spectrometer accuracy of 2 ppm.
Explanation:
The absolute uncertainty is calculated by applying the given accuracy of 2 ppm (parts per million) to the respective [tex]\frac{m}{z}[/tex] values. For [tex]\frac{m}{z}[/tex] 100, it is 100 * [tex]2e^{-6}[/tex] = 0.0002, and for [tex]\frac{m}{z}[/tex] 20000, it is 20000 * [tex]2e^{-6}[/tex] = 4. This reflects the potential variation in mass-to-charge ratio measurements due to the specified accuracy of the spectrometer.
Mass spectrometry involves the precise measurement of mass-to-charge ratios ( [tex]\frac{m}{z}[/tex]) of ions. The accuracy of a mass spectrometer is often expressed in parts per million (ppm). In this context, the absolute uncertainty in [tex]\frac{m}{z}[/tex] can be determined by applying the given accuracy to the specific [tex]\frac{m}{z}[/tex] values.
For [tex]\frac{m}{z}[/tex] 100, the calculation is 100 * [tex]2e^{-6}[/tex], resulting in an absolute uncertainty of 0.0002. This means that measurements of ions with [tex]\frac{m}{z}[/tex] around 100 could vary by up to 0.0002 due to the instrument's specified accuracy.
Similarly, for [tex]\frac{m}{z}[/tex] 20000, the calculation is 20000 * [tex]2e^{-6}[/tex], yielding an absolute uncertainty of 4. In this case, the potential variation in mass-to-charge ratio measurements is larger, reflecting the broader range of [tex]\frac{m}{z}[/tex] values.
These calculations are essential for understanding the precision and reliability of mass spectrometry data. Scientists and analysts must consider these uncertainties when interpreting results and drawing conclusions from mass spectrometry experiments.
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