Automobile airbags are inflated by nitrogen gas, generated from the explosive decomposition of solid sodium az

Question

Automobile airbags are inflated by nitrogen gas, generated from the explosive decomposition of solid sodium azide:
2NaN3---->2Na + 3N2

What volume of N2 at 1°C and 0.96 atm pressure can be produced from the decomposition of 12.2 g of NaN3?


Umm..ya. How do I do this?

Answer 1

Take it one step at a time. First look at the balanced equation for the reaction:

2 NaN3 --> 2 Na + 3 N2

The coefficients tell you that for every 2 moles of NaN3, you will get 3 moles of N2 gas (assuming that all of the sodium azide reacts). This means 3/2 = 1.5 times as much.

Next, figure out how many moles of Sodium azide react. This will be the number of grams divided by the molecular mass of the NaN3 (1 * atomic mass of Na + 3 * atomic mass of N)

12.2 g / 65.01 g/mole = 0.1877 moles of NaN3

But we need 1.5 times as much:

0.1877 moles * 1.5 = 0.2816 moles of N2

Assuming that the Nitrogen gas produced acts like an ideal gas, then PV = nRT or V = nRT / P

R = general gas constant = 0.0820574587 L - atm / °K - mole
The temperature is in Kelvin = (1 °C + 273°) = 274 °K

V = 0.2816 moles * 0.0821 * (274 °K) / 0.96 atm
= 6.599 Liters

rounded to 3 significant figures V = 6.60 Liters

Answer 2

Ok I don't have time to do number pressing one of the next answers can copy my formulas for you.

2 moles of NaN3 make 3 moles of N2 gas so its a 2:3 ratio

Next work out the Molecular mass of NaN3 and then the number of
moles of NaN3 (number of moles = 12.2 g / molecular mass of NaN3)

As its a 2:3 ratio dive the number of moles of NaN3 by 2 and then times the answer my 3

No of moles of N2 produce = Number of moles of NaN3 x (3/2)

Then using the idea gas law.

PV = nRT
where P = pressure
V = volume
n = number of moles of N2 gas
R the idea gas constant
T temp in kevlien

Rearrange the formula to get
V = (nRT)/P

Now sub in n, R, T and P

Answer 3

Use the molar ratio to get the info you need then
PV=nRT
You have P, n, R. I would assume that T is just standard conditions.Plugin the numbers and solve for V.

Edit: too late