If you watch television at all, you have probably seen advertisements for the $5

Question

If you watch television at all, you have probably seen advertisements for the $50 Buffalo tribute coin. available at the low price of only $10. The coin being advertised is a REPLICA of a solid gold coin issued by the U.S. treasury. If you listen to the advertisements carefully, you will hear that the tribute coins are COATED in 14.0 mg of 0.9999 pure gold. Assuming that each coin contains the stated 14.0 mg of gold, calculate the time (in minutes) required to electroplate (simultaneously) the gold onto 2277 coins using a current of 17.8 amps. Assume the gold is being plated from an AuCl3 solution. Note: Even at the current record high price for gold ($1600 per ounce) each coin contains only 80 cents worth of gold. The ads are aimed at people who don?t understand the metric system and don?t realize just how little 14.0 mg is.

Explanation / Answer

W= E x i x t/96500

1 coin weight = 14 x10^-3 g

2277 wt = 2277 x14 x10^-3g= 31.878g

31.878 = 65.66 x 17.8 x t /96500

t= 2632 sec

t= 2632/60 = 43.86min

t= 43.86min required

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