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23 February, 22:12

A balloon is floating around outside your window. The temperature outside is - 5 ∘C, and the air pressure is 0.700 atm. Your neighbor, who released the balloon, tells you that he filled it with 4.80 moles of gas. What is the volume of gas inside this balloon?

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  1. 23 February, 22:32
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    151 liter

    Explanation:

    You can calculate the volume of gas inside the ballon using the ideal gas equation:

    pV = nRT

    Where,

    p = absolute pressure V = volume occupied by the gas n = number of moles T = absolute temperature (add 273.15 to convert from °C to K) R = universal gas constant = 0.08206 atm-liter / k-mol

    Solving for V:

    V = nRT / p

    Substituting the data into the formula:

    T = - 5 + 273.15 K = 268.15 K

    V = 4.80 moles * 0.08206 atm-liter/k-mol * 268.15K / 0.700 atm

    V = 151 liter (using 3 significant figures) ← answer
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