Question

6 dm³ of dry gas is present at temperature of 27°C and pressure of 700 mm of Hg. Determine the volume of gas at STP.

Answer 1

Step 1- Given data

Initial volume, V₁ = 6 dm³ Final volume, V₂ =?

Initial pressure, p₁=700 mm of Hg Final pressure, p₂ = 760 mm of Hg

Initial temperature, T₂ = 27+273=300 K

Final temperature, T₂ = 273 K

Step 2- Write the formula:

Applying the ideal gas equation,

$\frac{p_1{V}_1}{T_1}$=$\frac{p_2{V}_2}{T_2}$

Step 3- Put the given values

$\frac{700\times 6}{300}$= $\frac{760xV₂}{273}$

$\frac{700x6x273}{300\times 760}$

=5.02 dm³

Hence, the volume of gas at STP is 5.02 dm³