For each of the irmer products defined in Examples 3 and 5. choose an ordered basis S for the vector space and find the matrix of the inner product with respect to S.

ME 235 HW set 2 1 Ammonia at room temperature and room pressure has v 1 10 m/kg what is n 2 Determine the phase for each of these cases a. Water 5C, 100 kPa b. Ammonia 5C, 100 kPa c. R410A 5C, 700 kPa d. R134a 5C, 0.06 m/kg 3 For water at 400 kPa with a quality of 10%, find the volume fraction of vapor. 4 Determine the phase and specific volume of the substance at the given state using Appendix B tables a) R-410A 1) 0C, 600 kPa 2) 0C, 800 kPa b) Water 1) 160C, 2000 kPa 2) 250C, 2000 kPa 5 Give the specific volume of carbondioxide at 40C for 800 kPa and repeat for 1400 kPa. 6 Give the missing property of P, T, v and x for water at a. T = 150C, P = 400 kPa b. T = 10C, P = 100 kPa c. P = 300 kPa, v = 0.192 m/kg 7 Water at 400 kPa with a quality of 75% has its pressure raised 200 kPa in a constant volume process. What is the new state (x, T) At what pressure will the water go into the single phase region 8 Saturated vapor R-410A at 60°C has its pressure increased to decrease the volume by 20% while the state is still saturated vapor. Find the new temperature and pressure. 9 Two tanks are connected as shown in the figure, both containing water. Tank A is at 200 kPa, v = 0.5 m/kg, V = 1 m and tank B contains 3.5 kg at 0.5 MPa, 400C. The valve is now opened and the two come to a uniform state. Find the final specific volume.