Boyle' Law answers
1. (40.0 mm Hg) (12.3 liters) = (60.0 mm Hg) (x); x = 8.20 L, note three significant figures!!
2. (1.00 atm) ( 3.60 liters) = (2.50 atm) (x); x = 1.44 L
3. ( 400.0 cu. ft) (1.00 atm) = (x) (3.00 cubic foot); x = 133 atm
4. (1.56 L) (1.00 atm) = (3.00 atm) (x); 0.520 L
5. (11.2 liters) (0.860 atm) = (x) (15.0 L); x = 0.642 atm
6. ( 745.0 mm Hg) (500.0 mL) = (760.0 mm Hg) (x)
7. (740.0 mm Hg) (350.0 mL) = (760.0 mm Hg) (x)
8. (63.0 atm) (338 L) = (1.00 atm) (x)
9. (166.0 mm Hg) (273.15 mL) = (760.0 mm Hg) (x)
10. (18.0 mm Hg) (77.0 L) = (760.0 mm Hg) (x)
11. Volume will decrease.
12. It will double in size.
13. (0.755 atm) (4.31 liters) = (1.25 atm) (x)
14. (8.00 atm) (600.0 mL) = (2.00 atm) (x)
15. (800.0 torr) (400.0 mL) = (1000.0 torr) (x)
16. (6.00 atm) (4.00 L) = (2.00 atm) (x)
17. (790.5 mm Hg) (25.3 mL) = ( 0.804 atm) (x)
This is wrong!! You MUST change one of the pressures units so both are the same. I'll change the mm Hg to atm:
(790.5 mm Hg / 760.0 mm Hg/atm) (25.3 mL) = ( 0.804 atm) (x)
18. (1.00 atm) (12.0 L) = (2.00 atm) (x)
19. (4.00 atm) (30.0 mL) = (2.00 atm) (x)
20. (760.0 mm Hg) (14.0 L) = (400.0 mm Hg) (x)
21. (8.00 atm) (40.0 L ) = (12.0 atm) (x)
22. (2.00 atm) (200.0 L) = (600.0 kPa) (x)
This is wrong. The pressure units must be the same. I'll change the atm to kPa. You could go the other way if you want, the answer would be the same.
(2.00 atm x 101.325 kPa/atm) (200.0 L) = (600.0 kPa) (x)
In fact, here's the problem with the kPa changed to atm:
(2.00 atm) (200.0 L) = (600.0 kPa / 101.325 kPa/atm) (x)
23. Your lungs will "explode." As you go up towards the surface, the pressure on your body and lungs becomes less. The air in your lungs expands. What would happen is the alveoli and small capallaries would rupture, causing massive bleeding in the lungs. You'd die. No, your body would not swell up and burst, like a balloon.
24. V2 = (P1V1) / P2
25. B
26. (12 atmospheres) (1.5 liter) = (2.0 atmospheres) (x)
27. (645 mm Hg) (300 mL) = (one atmosphere) (x)
This is wrong. I will change atm to mm Hg. (645 mm Hg) (300 mL) = (760 mm Hg) (x)
28. (1.00 atm.) (x) = (3.00 atmospheres) (0.50 cu. ft.)
29. (50.0 torr) (75.0 mL) = (8.00 torr) (x)
30. (1960.0 p.s.i.) (50.0 liters) = (30.00 p.s.i.) (x)
Important point: 2000 psi - 40 psi = 1960 psi flowed out of tank. 2000 is not used in calculation.
31. (1.00 atmosphere) (196.0) = (x) (26.0 liters)