Question

The burning of ethane produces both co2 and H2O. if 400 ml of CO2 is produced at 30°C and 740 torr, what volume of water vapor would be produced at 19°C and 780 torr?

Answer 1

The volume of water vapour would be produced at 19°C and 780 torr is 548.5mL.

If 400 ml of CO2 is produced at 30°C at 740 torr, then number of moles can be calculated as:

By using ideal gas equation:

P1V1 = N1R1T1

P1 = pressure = 740torr

V1 = 400 ml = volume of CO2

R = Gas constant = 8.314

T = 273+30 = 303 k

740×400 = N1×8.314×303

N1 = (740×400) /(8.314×303) =117.5.

Chemical equation

C2H6 ---- 2CO2 + 3H2O.

As we noticed from the equation that

2 moles of CO2 = 3 moles of H2O

1 moles of CO2 × 1 moles of H2O

Then N2 = 117.5 moles of CO2 = 3/2 × 117.5 moles of H2O

By using ideal gas equation:

P2V2 = N2RT2

V2 = 3/2 × 117.5 × 8.314 × 292/ 780

= 548.5ml.

Thus, we found that the volume of water vapour would be produced at 19°C and 780 torr is 548.5mL.

learn more about ideal gas equation:

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