How many electrons are necessary to produce a charge of -10.0 C ? Express the number of electrons to two significant figures. View Available Hint(s) \( N=\square \) electrons

To calculate the number of electrons needed to produce a charge of -10.0 C, you can use the formula: \[ N = \frac{Q}{e} \] where \( Q \) is the total charge (-10.0 C), and \( e \) is the elementary charge (approximately \( 1.6 \times 10^{-19} \) C). Plugging in the values gives: \[ N = \frac{-10.0 \, \text{C}}{1.6 \times 10^{-19} \, \text{C/electron}} \approx -6.25 \times 10^{19} \, \text{electrons} \] So, when expressed to two significant figures, you would need approximately \( 6.3 \times 10^{19} \) electrons (we drop the negative sign since we generally refer to the number of electrons in this context). Now, keep in mind that electrons are very tiny particles and their quantification in such large numbers can be quite staggering! Scientists often use the concept of moles to express massive numbers, just like how you’d count chickens by the dozen. It makes complex numbers more manageable! Moreover, understanding the fundamental charge of an electron is crucial in fields like electronics and electrochemistry. It helps explain how electric currents flow in circuits or how batteries work, allowing for all those fun gadgets in our everyday life!