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? asked in Science & MathematicsChemistry · 4 weeks ago

A bag of potato chips contains 595 mL of air at 30.0 ∘C and a pressure of 770 mmHg.?

Assuming the bag does not break, what will be its volume at the top of a mountain where the pressure is 433 mmHg and the temperature is 10.0 ∘C?

2 Answers

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  • ?
    Lv 7
    4 weeks ago

    PV=nRT <<<memorize!!

    n is moles, R is gas constant (use correct one!), T is temp in K (C+273.15)

    Since you have a before and after with the same n &R simplifies to

    PV/T initial = nR = PV/T final

    Now sub in your numbers and solve

    SI Units R values:

    8.31446261815324 J⋅K−1⋅mol−1

    8.31446261815324 m3⋅Pa⋅K−1⋅mol−1

    8.31446261815324 kg⋅m2·K−1⋅mol−1s−2

    8.31446261815324×103 L⋅Pa⋅K−1⋅mol−1

    8.31446261815324×10−2 L⋅bar⋅K−1⋅mol−1

    0.082057 L atm mol-1K-1

    62.36L·torr/mol·K = L·mmHg/mol·K

  • 4 weeks ago

    The temperature goes from 303.15 K to 283.15 K. So the volume factor is

    (283.15 / 303.150 ) * (770 / 433) = 1.6610

    The new volume is 595 mL * 1.6610 = 988 mL

    ADDED: you don't need the value of the gas constant. You just need to know that it is constant, as long as the gas remains a gas. And then that gas volume is proportional to the absolute temperature, and inverse to the pressure.

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