Large helium-filled balloons are used to lift scienti?c equipment to high altitudes. (a) What is the pressure inside such a balloon if it starts out at sea level with a temperature of 1 0.0 ° C and rises to an altitude where its volume is twenty times the original volume and its temperature is – 5 0.0 ° C ? (b) What is the gauge pressure? (Assume atmospheric pressure is constant.)
Large helium-filled balloons are used to lift scienti?c equipment to high altitudes. (a) What is the pressure inside such a balloon if it starts out at sea level with a temperature of 1 0.0 ° C and rises to an altitude where its volume is twenty times the original volume and its temperature is – 5 0.0 ° C ? (b) What is the gauge pressure? (Assume atmospheric pressure is constant.)
Large helium-filled balloons are used to lift scienti?c equipment to high altitudes. (a) What is the pressure inside such a balloon if it starts out at sea level with a temperature of
1
0.0
°
C
and rises to an altitude where its volume is twenty times the original volume and its temperature is
–
5
0.0
°
C
? (b) What is the gauge pressure? (Assume atmospheric pressure is constant.)
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?
A tire is inflated to a gauge pressure of 2.00x10^5 Pa when the temperature is 20°C. Later in the day, the temperature rises to 38°C. Assuming the volume of the tire remains constant, what is the gauge pressure at the elevated temperature?
[Hint: Remember that the ideal gas law uses absolute pressure.]
What is the difference between absolute, gauge, atmospheric, and hydrostatic pressures?
The absolute pressure in your car tires is 3.3 × 105 Pa at a temperature of 35.0°C when you drive it onto a ferry boat to Alaska.
-What is the absolute pressure of the tires, in pascals, later when the temperature has dropped to -40.0°C? Assume the volume of each tire does not change.
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