Hydrogen gas filled balloons are used for survey of weather at higher altitudes. Such hydrogen balloon at Earth’s surface has a volume of 5000 mm3 on a day when the temperature is 27 ° C and the pressure is 1MPa. The balloon rises and expands as the pressure drops. What would the volume of the same number of moles of hydrogen be at an altitude of 40 km where the pressure is 0.33 MPa and the temperature is −13 ° C? If we travel from ground to sky, atmospheric pressure changes? Assess it and justify your result.
Kinetic Theory of Gas
The Kinetic Theory of gases is a classical model of gases, according to which gases are composed of molecules/particles that are in random motion. While undergoing this random motion, kinetic energy in molecules can assume random velocity across all directions. It also says that the constituent particles/molecules undergo elastic collision, which means that the total kinetic energy remains constant before and after the collision. The average kinetic energy of the particles also determines the pressure of the gas.
P-V Diagram
A P-V diagram is a very important tool of the branch of physics known as thermodynamics, which is used to analyze the working and hence the efficiency of thermodynamic engines. As the name suggests, it is used to measure the changes in pressure (P) and volume (V) corresponding to the thermodynamic system under study. The P-V diagram is used as an indicator diagram to control the given thermodynamic system.
Q7: Hydrogen gas filled balloons are used for survey of weather at higher altitudes. Such hydrogen
balloon at Earth’s surface has a volume of 5000 mm3 on a day when the temperature is 27 ° C and the pressure is 1MPa. The balloon rises and expands as the pressure drops. What would the volume of the
same number of moles of hydrogen be at an altitude of 40 km where the pressure is 0.33 MPa and the
temperature is −13 ° C? If we travel from ground to sky, atmospheric pressure changes? Assess it and
justify your result.
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