02.44: A thermally insulating jfh e3szkxhk16 z05b8 3f ;wjkcontainer has a membrane separating the container into two equal parts. In ob h3kjf30j;exsz w1z8kk5h 6fne 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 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 un5z;ja fv.la4m;7y r ul:e f.gsdergoes a reversible isothermal expansion at T = 300 K. The total change in entropy of the gas is 2.5 J/K. How much work was dong 7refujfa.a;.m l45:ysv;zle by the environment on the gas during this process?

  05.42 A sample of a monatomic ideal gas starts with press1zg6wm( heq8rst8 4rj ure, volume, temperature, and number of moles ggrzme6sq 18 tj 4wr8(hiven 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?