Chemistry PROBLEM 2?

Question

Automobile air bags are inflated by nitrogen gas. When a significant collision occurs, an electronic sensor triggers the decomposition of Sodium Azide to form nitrogen gas and sodium metal. THe nitrogen gas then inflates nylon bags, which protect the driver and front-seat passenger from impact with the dashboard and windshield. What volume of nitrogen gas measured at 1 atm and 27 degrees C is formed by the decomposition of 100g of Sodium Azide?

2NaN3 ---> 2Na + 3N2

Please help

Answer 1

mass molecular NaN3 =23+3*14=23+42=65
looking at the equation you see that 2*65g =130g of NaN3 yields 3 moles of N2
so 100g gives 100*3/130 =2.31moles on Nitrogen

to calculate the volume use pV=nRT

V = nRT/P with V=m^3 T=27+273 =300K P=101325 pa

so V= 2.31*300*8.31/101325=0.0568m^3= 56.8 liters

Answer 2

pV=nRT

100 g NaN3: 100/(23+17x3) mol

n=3/2 x 100/(23+17x3) mol

V=nRT/p
=3/2 x 100/(23+17x3) mol x 8.314 L/(mol K) x (27+273)K
=.....
(calc it youself)