# Ideal gas Law

Please help with the following problem. Provide step by step calculations.

A round balloon had a radius of 0.30 m & contains nitrogen (N2) at 30 degrees Celsius and one atmosphere total pressure. What is the volume of the nitrogen in the balloon? How many moles of nitrogen are in the balloon? What is the mass of the nitrogen in the balloon? If the balloon is then submerged in a body of fresh water to a depth of 25 meters where the water temperature is 7 degrees Celsius, what is the volume of the nitrogen in the balloon at the depth of 25 meters?

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#### Solution Preview

Volume of Nitrogen:

radius of balloon= 0.3 m

Volume of balloon= (4/ 3 ) pi r ^3 = 0.1131 m^3

Therefore Volume of Nitrogen in the balloon= 0.1131 m^3

No of moles of Nitrogen:

Volume=V= 0.1131 m^3

Pressure=P= 1 atm= 101350 N / m^2

Temperature= T= 30 degrees C= 303.15 K =273.15+30

Ideal gas ...

#### Solution Summary

The following problem calculates the volume of the nitrogen in the balloon at the depth of 25 meters.