Gas cylinders of helium, like the one shown below, are sometimes used to inflate party balloons.
Figure 1
A typical 11-inch party balloon has a fully inflated volume of 14.1 dm3. The pressure in the gas cylinders is 20,000 kPa. If the gas cylinder can fill 160 balloons at 298 K and 108 kPa, what is the total volume of helium inside the gas cylinder in dm3?
Sketch a graph to show the relationship between the volume and temperature of an ideal gas at constant pressure. Describe the relationship between the two variables.
Deep sea divers sometimes breathe mixtures of helium and oxygen in their scuba diving tanks when the conditions are very deep, so they can avoid nitrogen narcosis.
If a bubble of gas escapes from a scuba tank at 60 m depth where the pressure is 588 kPa and the temperature is 8 oC, determine the increase in the size of the bubble by the time it reaches the surface where the pressure is 100 kPa and the temperature is 20 oC.
Commercial aircraft are fitted with oxygen cannisters that provide a supply of oxygen in case of the loss of cabin pressure. The cannisters contain sodium chlorate(V) which produces oxygen in the following decomposition reaction.
2NaClO3 (s) " 2NaCl (s) + 3O2 (g)
Determine the mass of sodium chlorate(V) needed to produce 10.0 dm3 of oxygen at 298 K and 90 kPa.
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