Automobile airbags contain solid sodium azide, nan3, that reacts to produce nitrogen gas when heated, thus inflating the bag. 2nan3(s) > 2na(s) + 3n2(g) calculate the value of w (work) for the following system if 20.2 g of nan3 reacts completely at 1.00 atm and 22 degrees

Answer : The value of work done for the system is 1144.69 J

Explanation :

First we have to calculate the moles of

Molar mass of = 65.01 g/mole

Now we have to calculate the moles of nitrogen gas.

The balanced chemical reaction is,

From the balanced reaction we conclude that

As, 2 mole of react to give 3 mole of

So, 0.311 moles of react to give moles of

Now we have to calculate the volume of nitrogen gas.

Using ideal gas equation:

where,

P = Pressure of gas = 1.00 atm

V = Volume of gas = ?

n = number of moles  = 0.466 mole

R = Gas constant =

T = Temperature of gas =

Putting values in above equation, we get:

As initially no nitrogen was present. So,

Volume expanded = Volume of nitrogen evolved

Thus,

Expansion work = Pressure × Volume

Expansion work = 1.00 atm × 11.3 L

Expansion work = 11.3 L.atm

Conversion used : (1 L.atm = 101.3 J)

Expansion work = 11.3 × 101.3 = 1144.69 J

Therefore, the value of work done for the system is 1144.69 J

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