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3. A tank of volume 0.3 m3

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?

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?

When a person plucks a guitar string the number of the half wavelengths that fit into the length of the string determines the ______ of the sound produced.

If a kettle is not 100% efficient where does the missing energy go? And is there a way of improving the efficiency of a kettle?

5.Some mass of a diatomic gas undergoes a compression process twice: first time - isothermally and second time – adiabatically. The gas is returned to the initial state before the second process. Each time the final pressure of the gas is n time greater than the initial pressure. Compare the work done by the gas in these two processes for two cases: n = 2 and n=100.

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.

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.

3. n moles of an ideal gas undergo an isobaric process 1->2 and then the isochoric process 2->3 shown in Fig. 1 in such was that the gas performs work A. The ratio of P2 and P3 is known: P2/P3=k. The temperature T1 in the state 1 equals to the temperature T3 In state 3. Calculate temperature T3.

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.

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.

1. A gas undergoes a process 1->2 with the change in volume from V1=11 L to V2=1 L. The pressure in such a process changes linearly with volume: P=aV, where a=4000 Pa/m3 . Calculate the work done by 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.

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.

Using Maxwell’s relations derive first and second energy equations. Using first energy equation, show that the internal energy of an ideal gas is independent of its volume.

A diatomic molecule modeled as two point masses,m1 and m2, slightly separated. If the molecule is oriented along y-axis it has kinetic energu K when it spins about the x-axis. What will its kinetic energy be if it soins at the same angular speed about (a). The z-axis b).the y-axis

A fountain shoots water to an height of 12 cm. from a nozzle of 0.60 diameter.

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)

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)

Sally travels by car from one city to another. She drives for 22.0 min at 69.0 km/h, 49.0 min at 44.0 km/h, and 30.0 min at 36.0 km/h, and she spends 11.0 min eating lunch and buying gas.