02.44: A thermally insulating container has a membrq6gqis 7wi u/gpk2h .(ane separating the container into two equal parts. In one part is a vacuum. In the other part is an ideal gas of temwgsk ihq p6 qu/7.g(2iperature T and internal energy U. The membrane is punctured and the gas rushes into the region which was vacuum. After the system has returned to equilibrium, which of the following is NOT true for the gas?

  06.43: A 10 $\Omega$ resistor is connected to a 12-volt battery. If the temperature (300 K) and mass of the
resistor (20 grams) remain constant, what is the change in entropy of the resistor during 30 seconds of operation of the circuit?

  07.46: An ideal gas undergoes a reversib up929kwsbx./c2p b0rjo pg-fle isothermal expansion at T = 300 K. The total change in entropy of the gas is 2.5 J/K. How much work was done by the environment on the gas during this proce9g f r-b0b2oc2.j9p su wk/ppxss?

  05.42 A sample of a monaifn8;(;2 5xna feea7t4 s abyjtomic ideal gas starts with pressure, volume, temperature, and number ofbe5fse7a4x n;n2f a;( i8aytj moles given as $P_0$, $V_0$,$T_0$, n, respectively. The gas has molar specific heats at constant pressure and constant volume of $c_p$, $c_v$.
Process 1: The gas is compressed to half of its volume at constant pressure.
Process 2: The gas is expanded isothermally such that the gas does work on the environment equal
to the amount of work done onto the gas by the environment during process 1.
What is the entropy change of the gas during Process 2?