On April 15, a woman, Jane A. went missing from the Fullerton area. A family mem

Question

On April 15, a woman, Jane A. went missing from the Fullerton area. A family member filed missing person report and the police are investigating. A reliable confidential informer reports that a female body stuffed in an Igloo ice chest and dumped in the back of a van a local lake in early May. Scuba divers have indeed found a van at the bottom of the lake and it appears there is might be an ice chest the back of the van. The divers note two deployed airbag on the driver and passenger side of the van. Both airbags remain inflated en though they are under water. The inflated airbags might be an important piece of evidence as to how the van entered the lake and who was in the passenger seat. To preserve this evidence, the police want to lift the van from the lake without exploding the airbags. As forensic scientist, the police would like you to answer their following questions: According to her doctor, the missing woman weighs 142 lbs. A woman her age has an approximate density of 0.950 kg/L. The Igloo tee chest has a labeled capacity of 62.1 qts. Is it possible to fit this missing person into the ice chest? Show your work. The maximum volume an airbag can hold when deployed before it bursts is 65.0 Liters. The following chemical reactions are involved: Sodium azide, NaN_3 decomposes to Na metal and N_2 gas when an igniter provides sufficient heat for the reaction: 2NaN_3(s) rightarrow 2Na(s) + 3N_2(g). Because sodium metal is very reactive and the reaction doesn't occur fast enough, potassium nitrate is added which cause the reaction to occur quickly and produce even more N_2 gas to fill the airbag: Na(s) + KNO_3(s) rightarrow K_2O(s) + Na_2O(s) + N_2(g) unbalanced (1) First, write the balanced reaction in (I) below and use the balanced reaction for all further calculations. Calculate the number of moles of gas produced in the airbag at a maximum volume of 65.0 L, 25.0 degree C, and 1.00 atmosphere (atm) of pressure using part a. Show all your work.

Explanation / Answer

62 qts= 58.7 L

density = 0.950 kg/L

mass = volume*density = 58.7*0.950=55.765 kg

but 1 lb = 0.4535 kg

55.765 kg correspond to 55.765/0.4535 lb=122.9 lb. The mass of missing person is 142 lbs. it is not possible to fit the mising person into ice chest.

The balanced reaction is

10 Na + 2 KNO3 ----> K2O + 5 Na2O + N2(g)

Gas produced is nitrogen whose moles can be calculated from ,n = PV/RT

Where P= 1 atm, V= 65 L, t= 25+273.15= 298.15K R= 0.0821 L.atm/mole.K

Therefore, n= 1*65/(0.0821*298.15)=2.655 moles

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