02.44: A thermally insulating container has a membrane sy41( xhpj )q,chd8fsueparating the container into two equal parts. In one part is a vacuum. In the other part is an ideal gas of temperature T and internal energy U. The membrane is punctured and the gas rs1d8) jh,hqpfux (y4cushes 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 4aitn+07zw jq ttmxp4 .j(+ fpundergoes a reversible isothermal expansion at T = 300 K. The total change in entropy of the gas is 2.5 J/K. How much(ttnxw4.z q+ jpftim0a7 4j +p work was done by the environment on the gas during this process?

  05.42 A sample of a monatomic ideal gas starts ab *oxvdpq+61rf:dul)rv fje99 /pw ,with pressure, volume, temperature, and number of moles given*q69jodaxr+vp:bflu9d e,f1r/ vwp ) 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?