Huge Ideal Gas Law Problem!

[Kagi98JP]

Hello everyone! I have been tasked with creating a airbag from a plastic sandwich bag, acetic acid, and sodium bicarbonate. 

The volume of my sandwich bag is 0.87 L, the pressure in my area is 100.6 kPa, and the temperature in the room is 295.15 K. First, I am tasked to find the mass of NaHCO₃ needed. My calculations are as follows: 

n = PV / RT 

n = (100.6 kPa)(0.87 L) / (8.314 kPa x L / mol x K)(295.15 K) 

n = 0.03566682292 mol NaHCO₃

M = 75.028 g/mol

m = n x M

m = 2.676 = 2.7 g

Now, I need to calculate the volume of acetic acid, but I run into a roadblock: 

n_HC2H3O2 = (0.03566682292 mol NaHCO₃)(1 mol HC₂H₃O₂ / 1 mol  NaHCO₃)

n_HC2H3O2 = 0.03566682292 mol

V = nRT / P

V = (0.03566682292 mol)(8.314 kPa x L / mol x K)(295.15 K) / 100.6 kPa

V = 0.8666 = 0.87 L

Huh? I doubt I need to fill the bag completely full with acetic acid to produce a reaction. What have I done wrong here? Thank you so much for the help! 

[Sensei]

2 hours ago, Kagi98JP said:

V = nRT / P

V = (0.03566682292 mol)(8.314 kPa x L / mol x K)(295.15 K) / 100.6 kPa

V = 0.8666 = 0.87 L

Huh? I doubt I need to fill the bag completely full with acetic acid to produce a reaction. What have I done wrong here? Thank you so much for the help! 

Volume of acetic acid which is in liquid/solid state not gaseous state..

[Kagi98JP]

24 minutes ago, Sensei said:

Volume of acetic acid which is in liquid/solid state not gaseous state..

Of course. You're absolutely right. Thanks so much!