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contains 2 moles of helium gas at 20℃. Assuming the
helium behaves like an ideal gas,
3.1. Find the total internal energy of the system.
3.2. What is the average kinetic energy per molecule?
6.One mole of a monoatomic gas performs a cycle consisting of three processes: adiabatic expansion, isothermal compression, and isochoric heating. What work was done during adiabatic portion of this cycle, if the gas has consumed Q=10 kJ of heat during the isochoric portion? Draw the diagram of the process.
7.Assuming one knows the specific molar heat capacity of a gas at constant volume, calculate the specific molar heat capacity of the same gas in the process where the pressure is reversely proportional to the temperature: P=a/T.
4. A monoatomic gas takes up a volume of V=4m3 and is at a pressure of 8x105 Pa. The gas undergoes an isothermal expansion reaching the final pressure of 1 atm. Calculate a) the work done to the gas in such a process b) the amount of heat absorbed by the gas c) change in the internal energy of the gas.
2. Consider a gas following a polytropic process PVn=const. Find the range of n such that the gas will cool down upon compression, and the range of n such that the gas will heat up upon compression. Draw the appropriate diagram.
The pump at the base of the structure (which is 1.1 mts underneath the nozzle described above), pushes the water in a pipe of 1.2 cm diameter up to the nozzle at the top.
Calculate what is the relative pressure that the pump has to exert and also the pressure in case the liquid is considered viscous (viscosity=0.89x10*-3 Pascals)