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 work, with, for the system if32.2NaNO3 reacts completely at1.00 atmand22∘C.

Answer : The value of work done for the system is 1.821 kJ

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, 0.495 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  = 0.7425 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 × 17.98 L

Expansion work = 17.98 L.atm

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

Expansion work = 17.98 × 101.3 = 1821.374 J  = 1.821 kJ

Therefore, the value of work done for the system is, 1.821 kJ

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