How do I go about solving these problems and what formulas do I need to use to s

ID: 883048 • Letter: H

Question

How do I go about solving these problems and what formulas do I need to use to solve these problems?

1- A gas occupies 30 L at 760 mm Hg. What is its volume at 350 mm Hg?

2- A gas occupies 500 mL at 1 atm. What is its pressure if the volume becomes 1500 mL?

3- If a gas occupies 250 mL at 25°C, what will its volume be at 57°C?

4- What was the original temperature of a 2 L sample of gas if it initially had the volume 5 L at 27°C?

5- At what pressure would 100 mL of a gas be found if it began at 500 mL at 2.5 atm?

6- What is the volume of a gas at 275 mm Hg if it occupied 750 mL at 1000 mm Hg?

7- A gas occupies 60 L at 250°K and 1 atm. What is its volume at 250°C and 1.5 atm?

8- What is the final temperature in Celsius of a gas occupying 3.25 L at 750 mm Hg if it occupied 2250 mL at
37°C and 600 mm Hg?

9- How great a temperature change occurs for a gas at 350 mm Hg and 220 L if it occupied 500 L at 0°C and
700 mm Hg?

10- 750 mL of a gas at 127°C and 800 mm Hg would occupy what volume at STP

USE Combined Gas Law
P1V1/T1 = P2V2/T2

1. P1V1/T1 = P2V2/T2 , here T1 = T2; 760 x 30 = 350 x V2, so V2 = 65.14 L

2. P1V1 = P2V2; 1 x 500 = P2 x 1500; P2 = 0.333 atm

3 V1/T1 = V2/T2; 250/25 = V2/57; V2 = 570 mL

4 V1/T1 = V2/T2; 5/27 = 2/T2 ; T2 = 10.8 deg C

5. P1V1 = P2V2; 500 x 2.5 = 100 x P2 ; P2 = 12.5 atm

6. P1V1 = P2V2; 750 x 1000 = 275 x V2; V2 = 2727.3 mL

7. P1V1/T1 = P2V2/T2; 1 x 60/250 = 1.5 x V2/523 ; V2 = 83.7 L

8. P1V1/T1 = P2V2/T2; 600 x 2.25 /37 = 750 x 3.25 /T1; T1 = 66.8 deg C

9. P1V1/T1 = P2V2/T2; 700 x 500/273 = 350 x 220/T2; T2 = 60.1 K , so tem change 273-60.1 = 212.94 K

10. at stp, P2 = 760 mm Hg, T2 = 273 K

P1V1/T1 = P2V2/T2; 800 x 750 / 400 = 760 x V2/273, V2 = 538.8 mL

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