Gas Problem Set 2

Gas Problem Set 2

Gas Problem Set 2

1.An expandable hot air balloon has a volume of 15,000 L when the temperature of the air inside the balloon is

45C. Determine the new volume of the balloon if the temperature of the air inside the balloon is increased to 125C.

2.Your favorite balloon has a volume of 12.0 L here on the ground where the pressure is 750 torr. You release the

balloon and it rises to an altitude where the pressure has decreased to 0.45 atm. What will be the new volume of your favorite balloon?

3.An aerosol can contain a sample of gas, which is at a pressure of 2.75 atm and a temperature of 25 C. The can

is placed in a fire where the temperature of the gas increases to 658 C. The manufacturer of the aerosol can has stated that if the can experiences a pressure of greater than 6300 torr, it will burst. Will the can burst?

4.Your new favorite balloon has a volume of 10.5 L here in St. Louis, where the temperature is 18 C and the

pressure is 755 torr. You take the balloon on vacation with you to the top of a mountain where the temperature has dropped down to -12C and the pressure is 592 torr. The manufacturer of the balloon has stated that if the balloon’s volume exceeds 13 L, it will burst. Will your balloon burst?

5. 15 ml of gas are at a pressure of 4 atm and a temperature of 50 K. If you want the volume to be 30 ml at a

temperature of 200 K, what will the new pressure be?

6.If 25 ml of gas is at a pressure of 2 atm and a temp. of 50 K, what temperature will be necessary to raise the

volume to 0.100 L if pressure doesn’t change?

7.A car tire has a volume of 40 L, which cannot change. If pressure is 22 psi at 25°C, what will the pressure be

at 85°C?

8. What volume would 3.00 moles of neon gas have at 295 K and 645 mmHg?

9. What volume would 4.3 moles of hydrogen gas occupy at 45°C and 3.22 atm?

10. How much pressure (in kPa) would 4.85 moles of He gas exert in a 4.50 L tank at 55°C?

11. How many moles of CO2 could fit in a 475 mL bag at -22°C and 855 mmHg?

12. How many grams of oxygen gas are there in a 2.3 L tank at 7.5 atm and 24°C?

13.How many molecules of N2 could fit in a 2.00 L soda bottle at 23°C and 755 mmHg?

14. In order to have 1.00 mole of gas fit in a box that measures 1.30 dm x 2.40 dm x 5.83 dm at 1.00 atm, what

must the temperature be (in °C)? (1 L = 1 dm3)

15. A cube-shaped box is to be made that can hold precisely 40.0 grams of He at 1.05 atm and 55°C. How long

would the box have to be (in dm)? (remember it's a cube so take the cube root of the volume)

16. What volume would be occupied by 16.0 g of CH4 at 0°C and 760 mmHg?(notice it's at STP?)

17. a) What is the mass of 1.00 mole of Ne? b) What would be the volume of 1.00 mole of Ne at 34°C and0.862atm? c) What would be the density of 1.00 mole of Ne at 34°C and 0.862 atm?

18. Determine the density of 1 mole of fluorine gas at 595 mmHg and 423 K.

19. What is the density of helium at STP?

20. 2.58 g of a gas has a volume of 3.97 L at 745 mmHg and 21°C. Determine the molar mass of the gas. What gas

might it be??

21. How many moles of sodium will react with 2.6 L of Cl2 gas at 1.15 atm and 39°C?

Hint: use the balanced equation... 2 Na + Cl2 ---> 2 NaCl

22. How many grams of propane (C3H8) will react with 3.29 L of O2 at 1.05 atm and -34°C?

Hint: balance & use this equation... C3H8 + O2---> CO2+ H2O

Answers: 8 19000 26 5.8x108 12 16 35 85.6 0.234 1.55 6.4 22.4 0.70 0.026 200 0.856 0.179 23 26 2940 4.9x1022 -51 20.2 29

Units: L L L L L L L kPa torr atm K psi mol mol g g g molecules oC dm g/L g/L g/L g/mol CH4