A cylinder with a piston contains 0.150 mol of nitrogen at 1.80 * 105 Pa and 300 K. The nitrogen may be treated as an ideal gas. The gas is first compressed isobarically to half its original volume. It then expands adiabatically back to its original volume, and finally, it is heated isochorically to its original pressure. (a) Show the series of processes in a pV-diagram. (b) Compute the temperatures at the beginning and end of the adiabatic expansion. (c) Compute the minimum pressure. Use the conditions and processes of the problem above to compute (a) the work done by the gas, the heat added to it, and its internal energy change during the initial compression; (b) the work done by the gas, the heat added to it, and its internal energy change during the adiabatic expansion; (c) the work done, the heat added, and the internal energy change during the final heating.
A cylinder with a piston contains 0.150 mol of
nitrogen at 1.80 * 105 Pa and 300 K. The nitrogen may be treated as an
ideal gas. The gas is first compressed isobarically to half its original
volume. It then expands adiabatically back to its original volume, and
finally, it is heated isochorically to its original pressure. (a) Show the
series of processes in a pV-diagram. (b) Compute the temperatures at
the beginning and end of the adiabatic expansion. (c) Compute the
minimum pressure.
Use the conditions and processes of the problem above to
compute (a) the work done by the gas, the heat added to it, and its internal energy change during the initial compression; (b) the work done by the gas, the heat added to it, and its internal energy change during the adiabatic expansion; (c) the work done, the heat added, and the internal energy change during the final heating.
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