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

is there multiple choice answers?

every chemical equation adheres to the law of conservation of mass, which states that matter cannot be created or destroyed. therefore, there must be the same number of atoms of each element on each side of a chemical equation.