Compressed gases aren't ideal. Let's consider a gas that's non-ideal only because the volume available to each of the N molecules is reduced because each other molecule occupies volume v. Instead of PV=NKT, we get: P(V-NB)=NKT. Let b=1.2 x 10-28 m3.
Let's look at 3moles of this gas at T=300K starting in 0.001 m3 volume.
1) What's the initial value of the pressure? Pinitial= Pa
2) The gas expands isothermally to 0.002 m3.What's the final pressure? Pfinal= Pa
3) How much work did the gas do in this isothermal expansion? W= J

Simon is writing a story about an astronaut whose spacecraft has been boarded by space pirates. the astronaut has her lucky penny in her hand behind her back as the space pirates break into the control room. she has just locked the controls so that the ship is accelerating in the direction of the control room’s ceiling. simon wants the astronaut to use the penny to hit a button on the control panel to turn off the lights and escape. the button is located a short distance behind and below the astronaut’s hands. how should simon use the theory of relativity to describe what the astronaut must do in order to hit the button?