Part A Classify each situation by the equation that would quantify it. A contain
ID: 1018933 • Letter: P
Question
Part A
Classify each situation by the equation that would quantify it.
A container of ammonia cleaner is stored in the janitor's closet off a lecture hall after being used at night for cleaning. The container has a very small hole in the lid. The next morning the entire lecture hall smells of ammonia. How would you calculate the speed of the ammonia molecules as they move out into the lecture hall?
The pressure on a tire pump is read. The handle of the pump is pushed down as far as possible. The reading of the pressure on the gauge is taken again. How would you calculate the final pressure?
The burner under a hot air balloon is ignited and the balloon expands. How would you calculate the expanded volume of the balloon?
A front-end collision causes the air bag in an automobile to deploy by the reaction of sodium azide to produce nitrogen gas. How would you calculate how much sodium azide is needed to fill a standard size bag with nitrogen under STP conditions?
Aerosol cans have a label that warns the user not to use them above a certain temperature and not to dispose of them by incineration. Even an empty can contains residual gaseous propellant. If the residual pressure in the can is 1.31 atm when it is sitting on a shelf near a furnace, how could you calculate the pressure when the can is placed on top of the furnace where the temperature reaches the boiling point of water?
In an automobile engine, at the end of the upstroke the piston is at its maximum height in a cylinder of exact dimensions. At this time, a precisely measured mixture of fuel and oxidant ignites to form gaseous products. If the ignition temperature is known, how could you calculate the pressure inside the cylinder just before the piston moves downward?
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Explanation / Answer
P1V1=P2V2 B
U=square root:(3RT/m) A
(T1/V1)=(T2/V2) C
Others D,F
(P1/T1)=(P2/V2) E
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1. In case of ammonia container, root mean square velocity of a gas needs to be calculated as we need speed.
Root mean square velocity U = sqrt(3RT/m)
Where R = 8.31447 J /mol K
M = the molar mass of the substance
2. In this case we want to use formula where we want to calculate the final pressure. Best case scenario here is to know the volume of both beforehand.
If we know volume of both, we can use initial pressure to calculate final pressure by formula
P1V1 = P2V2
3.
Here, burner is ignited and the balloon is expanded. Expansion is nothing but change in volume.
We require formula that gives relation between volume and temperature.
(T1/V1)=(T2/V2)
4.
Here, we will be using PV=nRT to calculate number of moles of sodium azide. This will then be converted to grams.
5.
In this we have condition where pressure is related to temperature.
We will be using formula (P1/T1)=(P2/T2) to calculate final pressure.
6.
As the piston position remains unchanged so the volume. We need PV=nRT to calculate pressure inside the cylinder.
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