Abaker uses sodium hydrogen carbonate (baking soda) as the leavening agent in a banana-nut quick bread. the baking soda decomposes according to two possible reactions. reaction 1: 2 nahco3(s) → na2co3(s) + h2o(l) + co2(g) reaction 2: nahco3(s) + h+(aq) → h2o(l) + co2(g) + na+(aq) calculate the volume (in ml) of co2 that forms at 170.°c and 0.900 atm per gram of nahco3 by each of the reaction processes.

Answer : The volume of in Reaction 1 = 240.45 ml

The volume of in Reaction 2 = 480.89 ml

Solution : Given,

Temperature =         ()

Pressure = 0.900 atm

The mass of = 1 gram

Molar mass of = 84.007 g/mole

The given reactions are,

Reaction 1 :

Reaction 2 :

First we have to calculate the moles of .

Moles of =

From the Reaction 1, we conclude that

2 moles of gives 1 mole of

0.0119 moles of gives of

Using ideal gas equation :  

where,

P = pressure of gas

V = volume of gas

n = Number of moles

T = temperature of gas

R = gas constant = 0.0821 L atm/mole K

Now put all the given values in ideal gas law, we get the volume of

The volume of in Reaction 1 is 240.45 ml

The moles of = 0.0119 moles

From the Reaction 2, we conclude that

1 moles of gives 1 mole of

So, the moles of = the moles of = 0.0119 moles

Using ideal gas equation,

Now put all the given values in ideal gas law, we get the volume of

The volume of in Reaction 2 is 480.89 ml

in the analysis of systems that involve fluid flow, we frequently encounter the combination of properties u and pv.