CHEMISTRY HELP ASAP

Question

The air bags in your vehicle work using the following sets of reactions:

 

2NaN3-->2Na+3N2

 

10Na+2KNO3-->K2O+5NA2O+N2

 

When your vehicle detects a collision, the sodium azide (NaN3) is activated (heated up) to start the decomposition reaction. This produces nitrogen gas and sodium metal. The sodium metal produced in the first reaction is then used in the second reaction to produce more nitrogen gas to inflate your airbag in your vehicle.

 

Say a typical airbag contains 130. g of NaN3 and the temperature inside your airbag are around 40 degrees Celsius with a normal air pressure of 1.0 atm. What volume of N2 gas is produced when your air bag is deployed?

Answer 1

In the first reaction, the mole ratio is 2 mol NaN3 to 2 Mol Na and 3 Mol N2

So the first reaction has 130g of NaN3, or 2 moles of NaN3, which creates 3 moles of N2 and two moles of sodium

In the second reaction, 10 moles of sodium create one mole of N2, so the two moles of Na from the first reaction create 0.2 moles of N2.

So, the total moles of N2 produced are 3 + 0.2 = 3.2 moles

V = ?

P = 1 atm

T = 313 deg K

n = 3.2 moles

R = 0.0821

Solve for V V = 82.2 L