A 1 paisa coin is made up of an Al-Mg alloy a | vedclass

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(A) The mass of the coin is $W = 0.75\, g$. Assuming the coin is primarily composed of Aluminum $(Al)$ for calculation purposes,the molar mass of $Al$

Vedclass · Accepted Answer

$3.48 	imes 10^{4}\, C$

Vedclass · Answer

(A) The mass of the coin is $W = 0.75\, g$. Assuming the coin is primarily composed of Aluminum $(Al)$ for calculation purposes,the molar mass of $Al$ is $M = 26.98\, g/mol$.The number of atoms $N$ in the coin is given by $N = \frac{W}{M} 	imes N_A$,where $N_A = 6.023 	imes 10^{23}\, mol^{-1}$.$N = \frac{0.75}{26.98} 	imes 6.023 	imes 10^{23} \approx 1.674 	imes 10^{22}$ atoms.The atomic number of $Al$ is $Z = 13$,meaning each atom contains $13$ protons and $13$ electrons.The total charge $Q$ is given by $Q = N 	imes Z 	imes e$,where $e = 1.6 	imes 10^{-19}\, C$.$Q = 1.674 	imes 10^{22} 	imes 13 	imes 1.6 	imes 10^{-19} \approx 3.48 	imes 10^{4}\, C$.Thus,the total amount of positive or negative charge is approximately $3.48 	imes 10^{4}\, C$.

$A$ $1$ paisa coin is made up of an $Al-Mg$ alloy and weighs $0.75\, g$. It has a square shape and its diagonal measures $17\, mm$. It is electrically neutral and contains equal amounts of positive and negative charges. Calculate the total amount of positive or negative charge in the coin.

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