Linear Interpolation Homework Review
1. Estimate the viscosity of water at 55 o F (x1, y1)-->(50, 1.310) (x2, y2)-->(55, ?) (x3, y3)-->(60, 1.129)
2. Estimate the viscosity of water at 142 o F (x1, y1)-->(140, 0.470) (x2, y2)-->(142, ?) (x3, y3)-->(160, 0.401)
3. What is the difference in viscosity of 155 o F water and 55 o F water?... Know 55 o F is 1.220cP from problem 1 (x1, y1)-->(140, 0.470) (x2, y2)-->(155, ?) (x3, y3)-->(160, 0.401) – = cP
4. At what temperature is the viscosity of water 1cP? (x1, y1)-->(1.129, 60) (x2, y2)-->(1, ?) (x3, y3)-->(0.982, 70)
5. Johnny measured the viscosity of his sample to be 1.55cP. What is the likely temperature of his sample? (x1, y1)-->(1.794, 32) (x2, y2)-->(1.55, ?) (x3, y3)-->(1.546, 40)
6. What happens to water at 32 o F? Do you expect that to affect the viscosity?
7. Use the data points at 180 o F and 200 o F to estimate the viscosity of water at 205 o F. What is the danger of doing this? (x1, y1)-->(180, 0.347) (x2, y2)-->(205, ?) (x3, y3)-->(200, 0.305)
8. Find the volume of steam at 550 o F and 433psia. (x1, y1)-->(400, ) (x2, y2)-->(433, ?) (x3, y3)-->(450, ) Temperature, o FPressure, 400psiaPressure, 450psia
9. Find the volume of steam at 600 o F and 433psia. (x1, y1)-->(400, ) (x2, y2)-->(433, ?) (x3, y3)-->(450, ) Temperature, o FPressure, 400psiaPressure, 450psia
10. Find the volume of steam at 571 o F and 433psia. (x1, y1)-->(550, ) (x2, y2)-->(571, ?) (x3, y3)-->(600, ) Temperature, o FPressure, 400psiaPressure, 433psiaPressure, 450psia (from prob 8) (from prob 9)1.3001
11. Find the volume of steam at 616 o F and 630psia. (x1, y1)-->(600, ) (x2, y2)-->(616, ?) (x3, y3)-->(650, ) Temperature, o FPressure, 600psiaPressure, 630psiaPressure, 700psia (x1, y1)-->(600, ) (x2, y2)-->(630, ?) (x3, y3)-->(700, ) OR x = temperature x = pressure
11. Find the volume of steam at 616 o F and 630psia. (x1, y1)-->(600, ) (x2, y2)-->(616, ?) (x3, y3)-->(650, ) Temperature, o FPressure, 600psiaPressure, 630psiaPressure, 700psia
11. Find the volume of steam at 616 o F and 630psia. (x1, y1)-->(600, ) (x2, y2)-->(630, ?) (x3, y3)-->(700, ) Temperature, o FPressure, 600psiaPressure, 630psiaPressure, 700psia
12. Find the volume of steam at 500 o F and 616psia. (x1, y1)-->(500, ) (x2, y2)-->(616, ?) (x3, y3)-->(600, ) Temperature, o FPressure, 500psiaPressure, 600psia
12. Find the volume of steam at 681 o F and 391psia. (x1, y1)-->(650, ) (x2, y2)-->(681, ?) (x3, y3)-->(700, ) Temperature, o FPressure, 350psiaPressure, 391psiaPressure, 400psia (x1, y1)-->(350, ) (x2, y2)-->(391, ?) (x3, y3)-->(400, ) OR x = temperature x = pressure
(x1, y1)-->(350, ) (x2, y2)-->(391, ?) (x3, y3)-->(400, ) 12. Find the volume of steam at 681 o F and 391psia. Temperature, o FPressure, 350psiaPressure, 391psiaPressure, 400psia
(x1, y1)-->(650, ) (x2, y2)-->(681, ?) (x3, y3)-->(700, ) 12. Find the volume of steam at 681 o F and 391psia. Temperature, o FPressure, 350psiaPressure, 391psiaPressure, 400psia