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Question

 1)A sample of gas at 4407.73 mmHg inside a steel tank is cooled from 514 degrees C to 8.3 degrees C What is the final pressure of the gas in the steel tank?

2)P₁ = 772 torr; T₁ = 10 degrees C; P₂ = 634.3 torr; T₂ = ?

3)A balloon is heated from room temperature (25 degrees C) to 91 degrees Celsius. The internal temperature causes the pressure to rise to 8 atmospheres. What was its initial pressure?

4)The temperature of a sample of gas in a steel tank at 30.0 kPa is increased to 29 ̊C to bring it to a final pressure of 54.5 kPa. What was its initial temperature?

5)V₁= 237mL; T₁ = 16°C; V₂  = 704 mL ; T₂ = ?

6)The temperature inside a container rises from 311 K to 441 K and the volume of the gas inside the container started at 61mL. What is the final volume of gas? 

7)When the volume of gas inside a balloon increases from 61 mL to 137.3 mL, what is the beginning temperature if the final temperature is -125.3 °C? Solve for the temperature in degrees C.

8)A soda bottle is thrown into a fire pit, and the temperature inside the bottle rapidly goes from 29 °C to 320.2 °C. The can also begins to swell due to the building pressure inside. What was the bottle's original volume if reached a final volume of 8 L before it exploded?

9)If the pressure inside a ball is 14.1 psi and the volume is 5741 mL, what is the volume when the pressure increases to 24.3 psi?

10)What is the beginning volume of a gas when the pressure begins at 1422 mmHg and then drops to 680 mmHg? The ending volume is 7.1 mL. 

11)The final volume of air inside a tire is 628 mL and the pressure is 10 kPa. What was the beginning pressure if the beginning volume was 1133 mL?

12)Your car engine injects gasoline into a cylinder in an engine. The gasoline enters at standard atmospheric pressure of 14.7 psi. If your car engine starts at 8.8 L and compresses to a final volume of 0.4 L, what amount of pressure would it generate?

Answer 1

I'll try to get you started, but there are too many questions for me to answer in one sitting. Maybe I'll come back later and do more.

 1)A sample of gas at 4407.73 mmHg inside a steel tank is cooled from 514 degrees C to 8.3 degrees C What is the final pressure of the gas in the steel tank?

P1/T1 = P2/T2 and solving for P2 we have P2 = P1T2/T1 = (4407.73)(281.3K)/787K = 1575 mm Hg (an incredibly high pressure)

2)P₁ = 772 torr; T₁ = 10 degrees C; P₂ = 634.3 torr; T₂ = ?

Again, use P1/T1 = P2/T2 and solve for T2: T2 = P2T1/P1 = (634.3)(283K)/772 = 233K -273 = -40ºC

3)A balloon is heated from room temperature (25 degrees C) to 91 degrees Celsius. The internal temperature causes the pressure to rise to 8 atmospheres. What was its initial pressure?

P1 = ?; T1 = 25+273=298K; P2 = 8 atm; T2 = 91+273=364K. Again we can use P1/T1 = P2/T2

P1 = P2T1/T2 = (8)(298)/364 = 6.5 atm = 7 atm

4)The temperature of a sample of gas in a steel tank at 30.0 kPa is increased to 29 ̊C to bring it to a final pressure of 54.5 kPa. What was its initial temperature?

T1 = ?; P1 = 30.0 kPa; T2 = 29+273=302K; P2 = 54.5 kPa. Use P1/T1 = P2/T2 and solve for T1.

T1 = T2P1/P2 = (302)(30.0)/54.5 = 166K - 273 = -107ºC

5)V₁= 237mL; T₁ = 16°C; V₂  = 704 mL ; T₂ = ?

Here we can use V1/T1 = V2/T2 and solve for T2

T2 = V2T1/V1 = (704)(289K)/237 = 885K - 273 = 612ºC