2. A store receives a shipment of defective balloons. Each has a tiny pinhole of
ID: 916329 • Letter: 2
Question
2. A store receives a shipment of defective balloons. Each has a tiny pinhole of the same size. If one balloon is filled with helium and another is filled with air to the same volume and pressure, which balloon will deflate faster and how much faster? The density of helium at room temperature is 0.00016 g/mL and that of air is 0.0012 g/mL. 3. Natural gas pipelines cannot be kept totally free of developing microscope leaks. Natural gas is methane which has a density at room temperature and 101.3 kPa of 0.654 g/L. Under these conditions the density of hydrogen is 0.0818 g/L. This difference in density, in the light of Graham's law, suggests a potential problem in using natural gas pipelines for sending hydrogen if we should ever adopt hydrogen as an alternative fuel to methane. What is this problem? Compare the rate of effusion of hydrogen to the rate for methane. 4. Under the same conditions of temperature and pressure, does hydrogen iodide or ammonia effuse faster? Calculate the relative rates at which they effuse. uses though a pinhole 2.16 times as rapidly as xenon? Which element is it? 6. Compute the relative velocities of H2 and CO2 through a fine pin-hole in a barrier. 7. Calculate the relative rates of diffusion of H-(e) and Brs(e) at the same temperatures 8. An unknown gas effuses through a capillary in 60 seconds. The same volume of hydrogen escapes in 10 seconds. Calculate the molecular mass of the unknown gas.Explanation / Answer
You have too many questions in one single post. I'll answer a few of these questions to give you an idea of how to solve these questions.
Almost all of these problems, you solve them using the Graham law of diffusion which is:
R1/R2 = (M2/M1)1/2
This expression you can use it for diffusion/effusion rate and with values of density.
2. Let's say that air is the 1, and the helium is 2:
R2/R1 = (0.0012 / 0.00016)1/2
R2/R1 = 2.74
R2 = 2.74R1
Which means that if air is R1, this diffuse slower than helium at a rate of 2.74 slower than Helium.
3. R1/R2 = (0.0818/0.654)1/2
R1/R2 = 0.3536
R1 = 0.3536R2
R1 is methane and R2 is hydrogen, so methane is faster than hydrogen.
5. R1/R2 = 2.16
If this gas is 2.16 faster than xenon then we can say that xenon is R2 so
R1 = 2.16R2
2.16 = (131.29/X)1/2
2.162 = 131.29/X
X = 131.29 / 2.162
X = 28.14 g/mol
The molecular weight of 28.14 g/mol corresponds to the N2 (Atomic weight of 14 g/mol)
8. we have the time so, let's use another expression of the graham law with time (both of them, assuming they have the same volume):
t1/t2 = (M2/M1)1/2
60/10 = (M1/2)1/2
62 = M1/2
M1 = 36*2
M1 = 72 g/mol
The rest of the question you may answer it with molecular weights of those compounds or density.
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