
#1
Jun2009, 06:29 PM

P: 12

1. The problem statement, all variables and given/known data
Five moles of an ideal monotomic gas initially occupies a volume of 100 x 10^{3}m^{3} at a temperature of 280 K. (state 1) The gas is then subject to the following processes in sequence: * heated at constant volume to a temperature of 600K (state 2) * allowed to expand isothermally to its initial pressure (state 3) * compressed isobarically to its original volume (state 1) (a) Find the pressure and volume of the gas in state 3 (b) Calculate the work done on the gas in going from state2 to state 3. (c) Calculate the heat exchanged between the gas and its environment during each of the 3 processes of the cycle 1>2, 2>3, 3>1. In each case, indicate whether the heat enters or leaves the gas. (d) Calculate the net work done on the gas in one cycle 2. Relevant equations PV=nRT=Nk_{B}T pV^{r}=constant, r=C_{p}/C_{v} dW=PdV W=nRT*ln(V_{i}/V_{f}) E_{int}=3/2Nk_{b}T C_{v}=5/2R 3. The attempt at a solution I'm stuck on question (a). I calculated the pressure using PV=nRT where the initial volume, temperature and number of moles of gas is provided. P=(5*8.314*280)/(100x10^{3}) Now, I dont know how to calculate the volume in state 3. Do I use T=600K and P=the above I calculated, to obtain the volume? 


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