Hi! Just having trouble with a question about entropy. Here it is:
Consider a system of 2 moles of liquid water initially at 27 °C and 1 atm. Calculate the
change in entropy, ΔS, when the 2 moles of H2O(l) undergoes a simultaneous increase
in temperature, T, and pressure, P, to 37 °C and 40 atm, respectively. You will need to
make some assumptions to do this calculation. State clearly these assumptions.
The constant pressure heat capacity for H2O(l), Cp = 75 J K-1 mol-1.
Okay so I began by splitting the process up into two steps. The first step is reversible heating at constant pressure, so the equation can be given by dS = (Cp,m/T)dT, and
change in S = n x Cp x ln(Tf/Ti) = 2 x 75 x ln(37+273/27+273) = 4.92J.
The next step should be the change in entropy due to change in pressure...now this is the bit i'm struggling with. I know for an ideal gas this could be given by nR x ln(Pi/Pf), but i'm not sure how to go about it for a liquid. Can anyone help??
Thanks!!