. In general, the internal energy U depends on both temperature and volume, U=U(TV). The volume dependence comes from the potential energy due to the interactions among the particles. For free particles, there are no interactions, thus, the internal energy U should be independent of the volume, i.e., (3) result for ideal gas pV = RT. = 0. Verify this

If a 10 N force is used to compress a spring by 22 cm       (i).  What is the resulting spring constant?                                  (ii).  How much work is needed to compress the spring an additional 1.5 cm?

P (x10) ) Pa A 3 V (m²) 0.02 0.04 FIGURE 14.2 4. Referring to FIGURE 14.2, an ideal gas has undergoes two processes AB and BC. 8 KJ of heat is supplied to the process AB and 4KJ of heat is dissipated from the gas. Calculate (a) The work done for AB and BC [ans: 6000 J] (b) The changes in internal energy for AB and BC [ans: 2000 J, -4000 J]

A certain ideal gas Y has molecular weight of 25 g/mol and specific heat ratio of 3. Initially, Y has pressure of 200kPa and volume of 2m3. The volume was doubled during heat transfer. Find the heat transfer if it underwent a process described by  a. n=1 b. n=Cp/Cv c. n=2

10 mol of a simple liquid is heated from 100°C to 500 °C and at the same time are compressed from 1 atm to 100 atm of pressure. What is the change in the volume? 1. Assume: a. the molar volume at 100 °C and 1 atm is 10 cc/mol b. the thermal expansion coefficient is 2.00x 10-5 /K c. the compressibility is 0.50x 10-11 /Pa

Professional divers sometimes use heliox, consisting of 79% helium and 21% oxygen by mole. Suppose a perfectly rigid scuba tank with a volume of 11.0 L contains heliox at an absolute pressure of 2.20 x 107 Pa at a temperature of 30.0°C. (a) How many moles of helium and how many moles of oxygen are in the tank? 75.9 mol mol helium noxygen + 20.2 (b) The diver goes down to a point where the sea temperature is 26.0°C while using a negligible amount of the mixture. As the gas in the tank reaches this new temperature, how much heat is removed from it (in kJ)? 5.5e+03 X kJ

3-21 Complete this table for H,O: T, °C Р, КРа u, kJ/kg Phase description 400 1450 220 Saturated vapor 190 2500 4000 3040 3-22 Complete this table for H,O: T, °C Р. КРа U, m'/kg Phase description 140 0.035 550 Saturated liquid 125 750 300 0.140

Provide 3 primary assumptions regarding gas particles and the ideal gas law. Please explain in thermodynamics terms. Thank you!

For a certain ideal gas, R = 77.8 t t and Cp = (0.2 + 0.0002T) Btu It is lb R lb R heated from 40 °F to 140 °F . For 1 lb mass, find: a. change of internal energy ( answer: 21 Btu ) b. change of enthalpy ( answer: 31 Btu )

Find the specific heat at constant pressure Cp, specific heat at constant volume and the molecular weight of the gas. For a certain ideal gas, Cp = 1.1 kJ/kg-K and k = 1.3.