Question

A SCUBA tank, an air tank used for breathing under water, is initially filled with gas...

A SCUBA tank, an air tank used for breathing under water, is initially filled with gas at a pressure of 2.8x107 Pa and 32 oC. The tank has a volume of 11.5 L. If the tank will continue to provide air until it reaches a pressure of 1.2x106 Pa, how many moles of gas will it provide to a diver diving in water at 10 oC? Give your answer in moles to at least three significant figures. Hint: There will be air left in the tank when the it reaches the lowest pressure the tank can deliver. The amount of air left might be useful in solving this problem.

Homework Answers

Answer #1

Given

The pressure at initial situation P = 2.8 x 107 Pa

The temperature at initial situation T = 32o C = 32 + 273 K = 305 K

The pressure at the end P’ = 1.2 x 106 pa

The temperature at final condition T’ = 10oC = 10+273 = 283 K

Volume of the container V = 11.5 L = 0.0115 m3

Universal gas constant R = 8.314 m3 Pa/mol K

Solution

The Ideal Gas law states that PV=nRT

Where n is the number of moles

n = PV/RT

In the initial situation the number of moles in the container can be

n1 = PV/RT

n1 = 2.8 x 107 x 0.0115 / 8.314 x 305

n1 = 126.98 mol

The number of moles left in the container

n2 = P’V/RT’

n2 = 1.2 x 106 x 0.0115 / 8.314 x 283

n2 = 5.86 moles

to total number of moles provided by the tank to the diver is N = n1 – n2 = 126.98 - 5.86 = 121.12 moles

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A SCUBA tank, an air tank used for breathing under water, is initially filled with gas...
A SCUBA tank, an air tank used for breathing under water, is initially filled with gas at a pressure of 2.3x107 Pa and 25 oC. The tank has a volume of 16.0 L. If the tank will continue to provide air until it reaches a pressure of 2.5x106 Pa, how many moles of gas will it provide to a diver diving in water at 6 oC? Give your answer in moles to at least three significant figures. Hint: There will...
2. An aluminum scuba tank, which has an internal volume of 11.1 L, is filled with...
2. An aluminum scuba tank, which has an internal volume of 11.1 L, is filled with air to a pressure of 3000 psi when at room temperature (i.e. 20.0 OC). A diver takes the tank into seawater, where the water temperature is 46 degrees Fahrenheit (i.e. 8.00OC). To what pressure does the air in the tank drop? (The thermal coefficient of expansion for aluminum is 24.0x10-6 OC -1 .) Answer: 2880 psi Please show steps and pictures!
2. An aluminum scuba tank, which has an internal volume of 11.1 L, is filled with...
2. An aluminum scuba tank, which has an internal volume of 11.1 L, is filled with air to a pressure of 3000 psi when at room temperature (i.e. 20.0 OC). A diver takes the tank into seawater, where the water temperature is 46 degrees Fahrenheit (i.e. 8.00OC). To what pressure does the air in the tank drop? (The thermal coefficient of expansion for aluminum is 24.0x10-6 OC -1 .) Answer: 2880 psi Don't need #2, just #3 please. 3. For...
A scuba diver takes a tank of air on a deep dive. The tank's volume is...
A scuba diver takes a tank of air on a deep dive. The tank's volume is 10 L and it is completely filled with air at an absolute pressure of 237 atm at the start of the dive. The air temperature at the surface is 85 ?F and the diver ends up in deep water at 60 ?F. Assuming thermal equilibrium and neglecting air loss, determine the absolute internal pressure of the air when it is cold.
1. scuba diver 40 ft below the ocean surface inhales 45.0 mL of compressed air from...
1. scuba diver 40 ft below the ocean surface inhales 45.0 mL of compressed air from a scuba tank at a pressure of 2.90 atm and a temperature of 8 ∘ C . What is the final pressure of the air, in atmospheres, in the lungs when the gas expands to 145.0 mL at a body temperature of 37 ∘ C , and the amount of gas does not change? 2. Consider 4.70 L of a gas at 365 mmHg...
1) Describe an example of each of the following that may be found of your kitchen:...
1) Describe an example of each of the following that may be found of your kitchen: Explain how your choice falls into this category, and if there is a chemical name or symbol for it, provide that as well. Provide a photo of your example with your ID card in it. a) a compound b) a heterogeneous mixture c) an element (symbol) Moving to the Caves… Lechuguilla Caves specifically. Check out this picture of crystals of gypsum left behind in...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT