- #1
Physgeek64
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Homework Statement
A cylinder is fitted with a piston and is in thermal contact with a heat bath at 273K. Initially the volume in the cylinder is filled with 10kg of pure H2O and about half of this is liquid and the other half is solid. The piston is lowered so as to reduce the volume by 2 × 10−5 m3. What is the sign and magnitude of the heat transfer to the bath?
Homework Equations
The Attempt at a Solution
##\frac{dp}{dT}=\frac{L}{T\Delta V}##
##p_2-p_1= \frac{L}{\Delta V} ln{\frac{T_2}{T_1}}##
but ##T_1=T_2## hence ##p_1=p_2=constant##
##dQ=dU+pdV=C_VdT+pdV=pdV##
##\Delta Q=p\Delta V##
I feel this is probably all wrong, but i can't see how else to do it- any help would be very much appreciated.