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Linear Interpolation Homework Review

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1. Estimate the viscosity of water at 55 o F (x1, y1)-->(50, 1.310) (x2, y2)-->(55, ?) (x3, y3)-->(60, 1.129)

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2. Estimate the viscosity of water at 142 o F (x1, y1)-->(140, 0.470) (x2, y2)-->(142, ?) (x3, y3)-->(160, 0.401)

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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) 1.220 – 0.418 = 0.802 cP

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4. At what temperature is the viscosity of water 1cP? (x1, y1)-->(1.129, 60) (x2, y2)-->(1, ?) (x3, y3)-->(0.982, 70)

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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)

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6. What happens to water at 32 o F? Do you expect that to affect the viscosity?

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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)

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8. Find the volume of steam at 550 o F and 433psia. (x1, y1)-->(400, 1.3840) (x2, y2)-->(433, ?) (x3, y3)-->(450, 1.2152) Temperature, o FPressure, 400psiaPressure, 450psia 5501.38401.2152

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9. Find the volume of steam at 600 o F and 433psia. (x1, y1)-->(400, 1.4765) (x2, y2)-->(433, ?) (x3, y3)-->(450, 1.3001) Temperature, o FPressure, 400psiaPressure, 450psia 6001.47651.3001

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10. Find the volume of steam at 571 o F and 433psia. (x1, y1)-->(550, 1.2726) (x2, y2)-->(571, ?) (x3, y3)-->(600, 1.3601) Temperature, o FPressure, 400psiaPressure, 433psiaPressure, 450psia 5501.38401.2726 (from prob 8)1.2152 6001.47651.3601 (from prob 9)1.3001

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11. Find the volume of steam at 616 o F and 630psia. (x1, y1)-->(600, 0.94605) (x2, y2)-->(616, ?) (x3, y3)-->(650, 1.01133) Temperature, o FPressure, 600psiaPressure, 630psiaPressure, 700psia 6000.946050.79332 616 6501.011330.85242 (x1, y1)-->(600, 0.94605) (x2, y2)-->(630, ?) (x3, y3)-->(700, 0.79332) OR x = temperature x = pressure

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11. Find the volume of steam at 616 o F and 630psia. (x1, y1)-->(600, 0.79332) (x2, y2)-->(616, ?) (x3, y3)-->(650, 0.85242) Temperature, o FPressure, 600psiaPressure, 630psiaPressure, 700psia 6000.946050.79332 6160.96694 6501.011330.85242

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11. Find the volume of steam at 616 o F and 630psia. (x1, y1)-->(600, 0.96694) (x2, y2)-->(630, ?) (x3, y3)-->(700, 0.81223) Temperature, o FPressure, 600psiaPressure, 630psiaPressure, 700psia 6000.946050.79332 6160.966940.81223 6501.011330.85242

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12. Find the volume of steam at 500 o F and 616psia. (x1, y1)-->(500, 0.99304) (x2, y2)-->(616, ?) (x3, y3)-->(600, 0.79526) Temperature, o FPressure, 500psiaPressure, 600psia 5000.993040.79526

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12. Find the volume of steam at 681 o F and 391psia. (x1, y1)-->(650, 1.8018) (x2, y2)-->(681, ?) (x3, y3)-->(700, 2.0848) Temperature, o FPressure, 350psiaPressure, 391psiaPressure, 400psia 6501.80181.5650 681 7002.08481.6507 (x1, y1)-->(350, 1.8018) (x2, y2)-->(391, ?) (x3, y3)-->(400, 1.5650) OR x = temperature x = pressure

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(x1, y1)-->(350, 2.0848) (x2, y2)-->(391, ?) (x3, y3)-->(400, 1.6507) 12. Find the volume of steam at 681 o F and 391psia. Temperature, o FPressure, 350psiaPressure, 391psiaPressure, 400psia 6501.80181.60761.5650 681 7002.08481.6507

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(x1, y1)-->(650, 1.6076) (x2, y2)-->(681, ?) (x3, y3)-->(700, 1.7288) 12. Find the volume of steam at 681 o F and 391psia. Temperature, o FPressure, 350psiaPressure, 391psiaPressure, 400psia 6501.80181.60761.5650 681 7002.08481.72881.6507

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