You and 7 other people are trapped on a desert island and have one chance to be

Question

You and 7 other people are trapped on a desert island and have one chance to be rescued – the skipper and professor found a weather balloon in their exploration of Gilligan’s island. But you need to inflate it with hydrogen to a radius of 1.02 m. you have several metals that you can scavenge from the wrecked boat (aluminum, iron, copper and a small of zinc) and a lot of hydrochloric acid, at least 200 L of 12M solution.

Choose a metal and compute the mass of it to inflate the balloon at 32C and 1.02 atm. the equation reaction you use must be written prominently to receive full credit.

Explanation / Answer

Since Cu has a lesser reduction potential than hydrogen, therefore it will produce hygrogen gas on reaction with HCl

Cu(s) + 2HCl -------> CuCl2 + H2

Now, volume of H2 required = (4/3)*pi*r3 = 4.445 m3 = 4445 litres

Thus, moles of H2 required = n = (P*V)/(R*T) = (1.02*4445)/(0.0821*305) = 181.1

Thus, moles of HCl required = 2*moles of H2 = 362.2

volume of HCl required = moles/molarity of HCl solution = 362.2/12 = 30.18 litres

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