Question

At 21 °C and 735 torr pressure, what will be the volume of 84 mol of SO2 gas? (Enter your answer in scientific notation.)

______x10 ______L SO2

Answer 1

From the ideal gas equation

P x V = n x R x T

Where P = pressure in Pascal

V = volume in m³

n = number of moles

R = gas constant in J/mol-K

T = temperature in Kelvin

Given that

P = 735 torr = (735 torr) x (1.01325 x 10⁵ Pa / 760 torr)

P = 97991.94 Pa

T = 21°C = 21 + 273.15 = 294.15 K

n = 84 moles

Putting the values in the equation

97991.94 Pa x V = 84 mol x 8.314 J/mol-K x 294.15 K

97991.94 Pa x V = 205427.3004 J

V = 2.09637 m³

V =( 2.09637 m³) x (1000 L / 1 m³)

V = 2.09637 x 10³ L SO2