A scuba tank, when fully charged, has a pressure of 195 atm at 20°C. The volume of the

Chapter 13, Problem 91GP

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QUESTION:

Problem 91GP

A scuba tank, when fully charged, has a pressure of 195 atm at 20°C. The volume of the tank is 11.3 L. (a) What would the volume of the air be at 1.00 atm and at the same temperature? (b) Before entering the water, a person consumes 2.0 L of air in each breath, and breathes 12 times a minute. At this rate, how long would the tank last? (c) At a depth of 20.0 m of sea water and temperature of 10°C, how long would the same tank last assuming the breathing rate does not change?

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QUESTION:

Problem 91GP

A scuba tank, when fully charged, has a pressure of 195 atm at 20°C. The volume of the tank is 11.3 L. (a) What would the volume of the air be at 1.00 atm and at the same temperature? (b) Before entering the water, a person consumes 2.0 L of air in each breath, and breathes 12 times a minute. At this rate, how long would the tank last? (c) At a depth of 20.0 m of sea water and temperature of 10°C, how long would the same tank last assuming the breathing rate does not change?

ANSWER:

Solution 91 GP:

Step 1 of 3:-

a)

Here we have to find the volume at 1 atm pressure and the same temperature.

The scuba tank pressure was: .

The temperature was: .

The volume was:

If we put the condition of constant temperature, the ideal gas equation will be reduced to,

.

So, the volume will be: 2203.5 L.

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