CP A balloon of volume 750 m 3 is to be filled with hydrogen at atmospheric pressure (1.01 × 10 5 Pa). (a) If the hydrogen is stored in cylinders with volumes of 1.90 m 3 at a gauge pressure of 1.20 × 10 6 Pa, how many cylinders are required? Assume that the temperature of the hydrogen remains constant. (b) What is the total weight (in addition to the weight of the gas) that can be supported by the balloon if both the gas in the balloon and the surrounding air are at 15.0°C? The molar mass of hydrogen (H 2 ) is 2.02 g/mol. The density of air at 15.0°C and atmospheric pressure is 1.23 kg/m 3 . See Chapter 12 for a discussion of buoyancy. (c) What weight could be supported if the balloon were filled with helium (molar mass 4.00 g/mol) instead of hydrogen, again at 15.0°C?
CP A balloon of volume 750 m 3 is to be filled with hydrogen at atmospheric pressure (1.01 × 10 5 Pa). (a) If the hydrogen is stored in cylinders with volumes of 1.90 m 3 at a gauge pressure of 1.20 × 10 6 Pa, how many cylinders are required? Assume that the temperature of the hydrogen remains constant. (b) What is the total weight (in addition to the weight of the gas) that can be supported by the balloon if both the gas in the balloon and the surrounding air are at 15.0°C? The molar mass of hydrogen (H 2 ) is 2.02 g/mol. The density of air at 15.0°C and atmospheric pressure is 1.23 kg/m 3 . See Chapter 12 for a discussion of buoyancy. (c) What weight could be supported if the balloon were filled with helium (molar mass 4.00 g/mol) instead of hydrogen, again at 15.0°C?
CP A balloon of volume 750 m3 is to be filled with hydrogen at atmospheric pressure (1.01 × 105 Pa). (a) If the hydrogen is stored in cylinders with volumes of 1.90 m3 at a gauge pressure of 1.20 × 106 Pa, how many cylinders are required? Assume that the temperature of the hydrogen remains constant. (b) What is the total weight (in addition to the weight of the gas) that can be supported by the balloon if both the gas in the balloon and the surrounding air are at 15.0°C? The molar mass of hydrogen (H2) is 2.02 g/mol. The density of air at 15.0°C and atmospheric pressure is 1.23 kg/m3. See Chapter 12 for a discussion of buoyancy. (c) What weight could be supported if the balloon were filled with helium (molar mass 4.00 g/mol) instead of hydrogen, again at 15.0°C?
A diver is at 5 meter depth in a fresh water lake. At that depth, the temperature is 15◦C. The pressure in the water at a depth d is given by p(d) = psurface + ρgd, where ρ is the liquid density, and g = 9.81m s−2is the gravitational constant.(a) The diver releases an air bubble of 1cm diameter. What is the diameter of the bubble when it reaches the surface where the temperature is 20◦C?Assume that the bubble temperature is always the same as the surroundingwater.(b) The diver stayed 1h at a 5m depth. The pressure in the diving tank went down from 250 bars to 50 bars. We assume that the volume of the lungs is 5L. Assuming that the water temperature is also 15◦C, how long could the diver have stayed underwater at 20m depth using the same amount of air?(c) The diver is at 5m depth and decides to surface. The air in the lungs is at a constant temperature of 37◦C. What fraction of the air in her/his lungs should the diver inhale/release to maintain a constant lung volume?
In an ultrahigh vacuum system (with typical pressures lower than 10-7 pascal), the pressure is measured to be 1.00 x 10-10 torr (where 1 torr = 133 Pa). Assuming the temperature is 310 K, find the number of molecules in a volume of 1.00 m3.
Suppose that an ideal gas in a sealed metal container (so it has a fixed volume) has its temperature increased by a factor of 3.78x. By what factor would the pressure of the gas increase or decrease in the container?
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