Find the volume of a gas at standard pressure if its volume at 780 mm Hg is 80 ml

0.082L or 82mL

Explanation:

Given parameters:

Pressure of gas  = 780mmHg;

                760mmHg  = 1atm

                780mmHg  =   = 1.03atm

Volume of gas  = 80ml  = 0.08L

Standard pressure  = 1atm

Unknown:

Volume of gas   = ?

Solution:

To solve this problem, we apply Boyle's law which states that "the volume of a fixed mass of gas is inversely proportional to the pressure if the temperature is constant".

   Mathematically;

        P₁ V₁   = P₂ V₂

P and V are temperature values

1 and 2 are initial and final states;

    Insert the parameters and solve;

               1.03 x 0.08  = 1 x V₂

   V₂  = 0.082L or 82mL

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