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7 May, 08:21

Submit a positive integer. the winner is the person who submits the lowest number that isn't submitted by anyone else.

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  1. 7 May, 08:43
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    To visualize getting an answer that is greater a positive integer, I will give an example base on the ideal gas law.

    You are given the mass of CaH₂ which is 14 grams and H₂O which is 28 grams. You are required to find the maximum volume of H₂ gas at STP. The balanced chemical reaction is CaH₂ + 2H₂O → Ca (OH) ₂ + H₂. Note that for every one mole of CaH₂, 2 moles of H₂O is needed to completely react and produce Ca (OH) ₂ + H₂. So the CaH₂ and H₂O are at equal proportions. At STP, temperature is at 0°C (273K) and pressure at 1 atm. The molar mass of CaH₂ is 42 grams per mole.

    14g CaH₂ (1mol CaH₂/42 grams CaH₂) (1mol H₂/1mol CaH₂) = 0.333 moles H2

    The ideal gas equation is PV = nRT, with R (gas constant) = 0.08206 L-atm/mol-K. get the equation for volume, we have

    V = nRT/P

    V = (0.333mol H₂) (0.08206 L-atm/mol-K) (273K) / 1atm

    V = 7.47L

    The answer is a positive integer.
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