Using the Ideal Gas Law In Chemical Reactions.

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Presentation transcript:

Using the Ideal Gas Law In Chemical Reactions. Gas Stoichiometry Using the Ideal Gas Law In Chemical Reactions.

The Automotive Airbag The airbag is responsible for saving many thousands of lives and represents an important application of Gas Stoichiometry.

The Automotive Airbag

The Automotive Airbag The idea of providing protection for occupants of vehicles using some type of cushioning device is not new.

The Automotive Airbag Today’s modern airbag systems inflate in milliseconds and have proven so effective that they are now required on all cars sold in the USA and most other countries.

Most airbag systems use technology first developed by Mercedes Benz which uses a chemical reaction to produce a gas that inflates the bag.

The Automotive Airbag

Sodium azide (NaN3) decomposes rapidly into sodium metal and nitrogen gas. NaN3(s)  Na(s) + N2(g)

Sodium azide (NaN3) decomposes rapidly into sodium metal and nitrogen gas. 2 NaN3(s)  2 Na(s) + 3 N2(g)

Detemine the mass of sodium azide needed to produce 60 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. 2 NaN3(s)  2 Na(s) + 3 N2(g)

Detemine the mass of sodium azide needed to produce 60 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. 2 NaN3(s)  2 Na(s) + 3 N2(g) ? g 60. 0 L

2 NaN3(s)  2 Na(s) + 3 N2(g) ? g 60. 0 L i Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. 2 NaN3(s)  2 Na(s) + 3 N2(g) ? g 60. 0 L i

2 NaN3(s)  2 Na(s) + 3 N2(g) ? g 60. 0 L i mol N2 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. 2 NaN3(s)  2 Na(s) + 3 N2(g) ? g 60. 0 L i mol N2

2 NaN3(s)  2 Na(s) + 3 N2(g) ? g 60. 0 L i f mol N2 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. 2 NaN3(s)  2 Na(s) + 3 N2(g) ? g 60. 0 L i f mol N2

2 NaN3(s)  2 Na(s) + 3 N2(g) ? g 60. 0 L i mol NaN3 f mol N2 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. 2 NaN3(s)  2 Na(s) + 3 N2(g) ? g 60. 0 L i mol NaN3 f mol N2

2 NaN3(s)  2 Na(s) + 3 N2(g) ? g 60. 0 L h i mol NaN3 f mol N2 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. 2 NaN3(s)  2 Na(s) + 3 N2(g) ? g 60. 0 L h i mol NaN3 f mol N2

60.0 L N2 x ----------- x ----------- x ----------- = g NaN3 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. 60.0 L N2 x ----------- x ----------- x ----------- = g NaN3

Detemine the mass of sodium azide needed to produce 60 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. mol N2 mol NaN3 g NaN3 60.0 L N2 x ----------- x ----------- x ---------- = g NaN3

Detemine the mass of sodium azide needed to produce 60 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. mol N2 mol NaN3 g NaN3 60.0 L N2 x ----------- x ----------- x ---------- = L N2 mol N2 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. mol N2 2 mol NaN3 65.0 g NaN3 60.0 L N2 x ----------- x ----------- x ------------- = L N2 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. 1 mol N2 2 mol NaN3 65.0 g NaN3 60.0 L N2 x ----------- x ----------- x ------------- = ? L N2 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. 1 mol N2 2 mol NaN3 65.0 g NaN3 60.0 L N2 x ----------- x ----------- x ------------- = 22.4 L N2 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. 1 mol N2 2 mol NaN3 65.0 g NaN3 60.0 L N2 x ----------- x ----------- x ------------- = 22.4 L N2 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. 1 mol N2 2 mol NaN3 65.0 g NaN3 60.0 L N2 x ----------- x ----------- x ------------- = 22.4 L N2 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. 1 mol N2 2 mol NaN3 65.0 g NaN3 60.0 L N2 x ----------- x ----------- x ------------- = 22.4 L N2 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. 1 mol N2 2 mol NaN3 65.0 g NaN3 60.0 L N2 x ----------- x ----------- x ------------- = 22.4 L N2 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at STP. 1 mol N2 2 mol NaN3 65.0 g NaN3 60.0 L N2 x ----------- x ----------- x ------------- = 22.4 L N2 3 mol N2 1 mol NaN3 116.1 g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg.

60.0 L N2 x ----------- x ----------- x -------------- = g NaN3 Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. 60.0 L N2 x ----------- x ----------- x -------------- = g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. mol N2 mol NaN3 g NaN3 60.0 L N2 x ----------- x ----------- x -------------- = g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. mol N2 2 mol NaN3 65.0 g NaN3 60.0 L N2 x ----------- x ----------- x -------------- = L N2 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. 1 mol N2 2 mol NaN3 65.0 g NaN3 60.0 L N2 x ----------- x ----------- x -------------- = 22.4 L N2 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. 1 mol N2 2 mol NaN3 65.0 g NaN3 60.0 L N2 x ----------- x ----------- x -------------- = NOT! L N2 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. 1 mol N2 2 mol NaN3 65.0 g NaN3 60.0 L N2 x ----------- x ----------- x -------------- = NOT! L N2 3 mol N2 1 mol NaN3 (at non-STP conditions) g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. ? mol N2 2 mol NaN3 65.0 g NaN3 60.0 L N2 x ----------- x ----------- x -------------- = in 60.0 L N2 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg.

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. PV = nRT

PV = nRT n = ---------------- Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. PV = nRT n = ----------------

PV = nRT PV n = ---------------- RT Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. PV = nRT PV n = ---------------- RT

PV = nRT (758 mm)(60.0 L) n = ----------------------- RT Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. PV = nRT (758 mm)(60.0 L) n = ----------------------- RT

PV = nRT (758 mm)(60.0 L) n = ----------------------- R (298 K) Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. PV = nRT (758 mm)(60.0 L) n = ----------------------- R (298 K)

n = ----------------------- Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. PV = nRT (758 mm)(60.0 L) n = ----------------------- (62.4 mm L/mol)(298 K)

n = ----------------------- Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. PV = nRT (758 mm)(60.0 L) n = ----------------------- (62.4 mm L/mol K) )(298 K)

n = ----------------------- Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. PV = nRT (758 mm)(60.0 L) n = ----------------------- (62.4 mm L/mol K) )(298 K)

n = ----------------------- Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. PV = nRT (758 mm)(60.0 L) n = ----------------------- (62.4 mm L/mol K) )(298 K)

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. PV = nRT n = 2.45 mol

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. 2 mol NaN3 65.0 g NaN3 2.45 mol N2 x ----------- x -------------- = 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. 2 mol NaN3 65.0 g NaN3 2.45 mol N2 x ----------- x -------------- = 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. 2 mol NaN3 65.0 g NaN3 2.45 mol N2 x ----------- x -------------- = 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. 2 mol NaN3 65.0 g NaN3 2.45 mol N2 x ----------- x -------------- = 3 mol N2 1 mol NaN3 106.2 g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. (758 mm) 2 mol NaN3 65.0 g NaN3 60.0 L N2 x -------------- x ----------- x -------------- = (62.4mm L/mol K) (298K) 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. (758 mm) 2 mol NaN3 65.0 g NaN3 60.0 L N2 x -------------- x ----------- x -------------- = (62.4mm L/mol K) (298K) 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. (758 mm) 2 mol NaN3 65.0 g NaN3 60.0 L N2 x -------------- x ----------- x -------------- = (62.4mm L/mol K) (298K) 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. (758 mm) 2 mol NaN3 65.0 g NaN3 60.0 L N2 x -------------- x ----------- x -------------- = (62.4mm L/mol K) (298K) 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. (758 mm) 2 mol NaN3 65.0 g NaN3 60.0 L N2 x -------------- x ----------- x -------------- = (62.4mm L/mol K) (298K) 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. (758 mm) 2 mol NaN3 65.0 g NaN3 60.0 L N2 x -------------- x ----------- x -------------- = (62.4mm L/mol K) (298K) 3 mol N2 1 mol NaN3 g NaN3

Detemine the mass of sodium azide needed to produce 60.0 L of N2 at 25.0 oC and 758 mm Hg. (758 mm) 2 mol NaN3 65.0 g NaN3 60.0 L N2 x -------------- x ----------- x -------------- = (62.4mm L/mol K) (298K) 3 mol N2 1 mol NaN3 106.0 g NaN3