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16 if you had a balance that could determine the mass of a proton, how …

Question

16 if you had a balance that could determine the mass of a proton, how many electrons would you need to weigh on the same balance to measure the same mass as that of a single proton? * (0.5 points) enter your answer

Explanation:

Step1: Recall mass values

The mass of a proton is approximately $m_p = 1.6726219\times 10^{- 27}\text{ kg}$, and the mass of an electron is approximately $m_e=9.10938356\times 10^{-31}\text{ kg}$.

Step2: Calculate number of electrons

Let $n$ be the number of electrons. We want $n\times m_e=m_p$. So, $n=\frac{m_p}{m_e}$.
Substitute the values: $n=\frac{1.6726219\times 10^{-27}}{9.10938356\times 10^{-31}}\approx 1836$.

Answer:

1836