PHYS 151 – Written Homework #8

QUESTION

Name:GouldPHYS 151 – Written Homework #8Due: November 20, 20151. Pressures in Inverted Cylinders. A vertical closedcylinder of cross-sectional area A is divided into twoequal volumes by an insulating freely-movable piston ofmass m. There is argon in the upper chamber attemperature T0, and helium in the lower chamber at thesame temperature. The cylinder is then inverted,putting the helium on top. Holding the argontemperature at T0 it is found that reducing thetemperature of the helium to T0/5 causes the volumes ofthe two gasses in this inverted configuration to again beequal. What is the pressure P1 in terms of m, g, and the cross-sectional area A? Hint: Startingfrom P1, successively find the pressures P2, P3, P4, and P1, in terms of the immediately precedingpressures and the known quantities, m, g, and A.PHYS 151 – Written Homework #8 – Due November 20, 2015pg. 2 of 22. End at Zero. You are given a bucket of water of mass M at a temperature T1 which isobviously between 0°C and 100°C. You are also provided a freezer full of ice at a temperatureT2 which is obviously less than 0°C. Assume everything is well insulated and the heat capacityof the bucket is zero so only the ice and water matter. You are going to take some amount of thatice, m, and throw it into the bucket of water. What is the range of m such that after the water andice come to equilibrium their final temperature is exactly 0°C? Important: You are asked forthe range, meaning the minimum and maximum amounts of ice that you can throw in and stillhave the final temperature be exactly 0°C. Give your answers in terms of M, T1, T2, the specificheat of water cW, the specific heat of ice cI, and the latent heat of fusion (or melting) L.

ANSWER:

REQUEST HELP FROM A TUTOR