We have following equation:
NaHCO3 (aq) + CH3COOH (aq) ---------------> CH3COONa (aq) + CO2 (g) + H2O (l)
To calculate volume we can use ideal gas law :
PV = nRT (P = pressure, V= volume, T =absolute temp. , n= no. on moles , R =constant )
Your calculation for moles of acetic acid is incorrect , thus limiting reagent :
Acetic acid in vinegar is 0.8368 M= 0.8363 mol /L
thus moles of acetic acid used will be : (4.93 ml*0.8363mol/L) / 1000 ml
# 1 : 0.004 moles # 2 : 0.004 moles # 3 : 0.004 moles # 4 : 0.008 moles # 5 : 0.008 moles # 6: 0.008 moles
1. Moles of gas in theory could produced
from balanced equation : 1 mol of NaHCO3 = 1mol CH3COOH = 1 mol of gas
moles of gas produced depends on moles of limiting reagent :
# 1 : 0.002 moles # 2 : 0.004 moles # 3 : 0.004 moles # 4 : 0.004 moles # 5 : 0.002 moles # 6: 0.007 moles
2. liters of gas in theory could produced
From PV = nRT : V = nRT / P
we have : P = 1 atm. ; n = no. of moles ; T = 337.15 K (as measured by you )
R = 0.082 L-atm / mol-K
# 1 : n = 0.002 moles
V = (0.002 mole* 0.082 L-atm / mol-K *337.15 K )/ 1 atm = 0.0553 L
# 2 : n=0.004 moles
V = (0.004 mole* 0.082 L-atm / mol-K *337.15 K )/ 1 atm = 0.1106 L
# 3 :n=0.004 moles
V = (0.004 mole* 0.082 L-atm / mol-K *337.15 K )/ 1 atm = 0.1106
# 4 : n= 0.004 moles
V = (0.004 mole* 0.082 L-atm / mol-K *337.15 K )/ 1 atm = 0.1106 L
# 5 : n = 0.002 moles
V = (0.002 mole* 0.082 L-atm / mol-K *337.15 K )/ 1 atm = 0.0553 L
# 6: n = 0.007 moles
V = (0.007 mole* 0.082 L-atm / mol-K *337.15 K )/ 1 atm = 0.1935 L
3. % yield of gas :
# 1 : actual yield = 0.0355 L
Theory yield = 0.0553 L ; % yield = 0.0355 L /0.0553 L *100 = 64.2 %
# 2 : actual yield = 0.0355 L
Theory yield = 0.1106 L ; % yield = 0.0355 L /0.1106 L *100 = 32.1 %
# 3 : actual yield = 0.0446 L
Theory yield = 0.1106 L ; % yield = 0.0446 L /0.1106 L *100 = 40.3 %
# 4 : actual yield = 0.0477 L
Theory yield = 0.1106 L ; % yield = 0.0477 L /0.1106 L *100 = 43.1 %
# 5 : actual yield = 0.0509 L
Theory yield = 0.0553 L ; % yield = 0.0509 L /0.0553 L *100 = 92.0 %
# 6 : actual yield = 0.0654 L
Theory yield = 0.1935 L ; % yield = 0.0654 L /0.1935 L *100 =33.8 %
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