Page 45 - Appplied Mathematics for the Petroleum and Other Industries, 5th Edition

Practice Problems 305

2
10. 6x – 10x – 4xy – 6y 5. SOME PHYSICALQUANTITIES b. 0°C
2
11. 4ax + 8axy + 4ay 2 AND THEIR MEASUREMENT c. 4°C
2 2
2
12. 20a b + 30a b + 15abc Length, Area, and Volume, d. –33.3°C
2
13. 3a + ab – 4b 2 pp. 120–122 e. –263°C
2
3
2
14. –4a + 4a – 8a b + 12ab – 4ab 2 1. a. /8 in. 6. a. 51°C
3
15. x + 2xy – 2x + 3y + y 2 3 b. –70°C
2
16. –4a – 2b b. 5 /4 in. c. 20°C
c. 1 /2 in.
1
2
17. 9a + 3a + 4b + 2b/a 1 d. –23°C
2
18. m – 3m + 14 d. 3 /16 in. e. –224°C
e. 3 /4 in.
1
2
19. x – 2xy + y 2 7. a. 1,140°R
20. m – 4m + 8 2. a. 7.4 cm b. 463°R
2
b. 3.8 cm c. 503°R
c. 5.1 cm
Equations, pp. 92–93 d. 436°R
d. 1.2 cm e. 347°R
1. a. 36 e. 7.9 cm 8. 12:47 p.m., Wed.
b. 22 3. 91.44 m 9. 99 min
c. 10 4. 30.48 cm 10. 180.6 K
2. 2 5. 51.49 km
3. a. a + c + b = e + a + b + d 6. 1.93 m Mass and Related Derived
b. b + c + e = b + d + 2e 7. a. 2.40 m Quantities, pp. 135–136
c. c + a + d = c + e + b + d b. 2,400 mm
4. $71.50 per day c. 0.0024 km 1. 907.185 kg
5. 7.43 lb d. 2,400,000 mm 2. 53,400 daN; 534 kN
6. Greater number: 20 e. 0.00000240 Mm 3. 631.579 ft
Lesser number: 15 8. 1,196.17 yd 2 4. 11.023 lb
7. 1,225 ft 2 9. 14 hr 5. 1.8 lb/ft 3
8. $147.69 10. 10,857 in. 3 6. 40.7669°API
9. 90 11. 144 in. 3 7. 3,200 ft-lb
10. $5.00 12. 4 bd ft 8. 51.6 psia
9. 15.93 lb
13. 1.48 yd 3 10. 6.928 psi
Formulas, pp. 101–103 14. 0.00156 mi 2
1. 0.4 darcys 15. 320 Electricity, pp. 141–142
2. a. 0.2364 in. 16. 1.323 yd 3
b. 94.24 mi 17. 158.928 litres 1. 0.12 A
c. 6.56 yd 18. 7.0861 ft 3 2. a. 60 V
d. 11.82 in. 19. 1,308.64 acres b. 3 A
e. 6.56 ft 20. 2.396 mi 2 c. 12 V
d. 3 A
3. $130.00 3. 172.5 kWh
4. 3.68 gal Time and Temperature, 4. a. 1.96 Ω
5. a. D = ST pp. 126–127 b. 0.385 A
b. S = D/T 1. a. 530 mph c. 0.25 A
c. T = D/S b. 8.833 mi/min d. 19.2 V
6. 55,063, or approx. 55,000 bbl 2. 21 min e. 148 Ω
Petroleum Extension-The University of Texas at Austin
7. sp gr = 141.5 ÷ (API + 131.5) 3. 1,350 rpm 5. 180 W
8. 38.76 °API 4. a. 161.6°F 6. 240 Wh
9. P = P V ÷ V 1 b. 68°F 7. 4 Ω
1
2 2
V = P V ÷ P 1 c. 32°F 8. a. 7.5 A
2 2
1
P = P V ÷ V 2 d. 22°F b. 225 W
2
1 1
V = P V ÷ P 2 e. –108.4°F 9. 0.5 A
1 1
2
10. 1,651.26 ft 3 5. a. –67.2°C 10. 500 W