A system of 1294 particles, each of which is either an electron or a proton, has a net charge of -5.760×10-17?
A system of 1294 particles, each of which is either an electron or a proton, has a net charge of -5.760×10-17 C.
A)How many electrons are in this system (exactly)?
B) What is the mass of this system (to three significant digits)?
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The unbalanced charge represents a bunch of unmatched electrons, since the net charge is negative. The -5.760 x 10^(-17) C can be divided by the charge of 1 electron (-1.602 x 10^(-19)C), but since the answer came out to 359.55, I suspect they are wanting you to use just 1.60 x 10x(-19)C as the magnitude of the charge on one electron; in that case, the number comes out to 360. So there are 360 MORE electrons than protons. Hence, there are exactly 467 protons and 827 electrons.
The mass of this system is
(467 x 1.673 x 10^(-27) kg) (827 x 9.11 x 10^(-31) kg)
= 7.82 x 10^(-25) kg