High school chemistry question?

J

Johnny Sun

New member
A marine biologist is preparing a deep-sea submersible for a dive. The sub stores breathing air under high pressure in a spherical air tank that measures 71.0cm wide.

The biologist estimates she will need 5800L of air for the dive. Calculate the pressure to which this volume of air must be compressed in order to fit into the air tank. Write your answer in atmospheres. Round your answer to 3 significant digits.

Thanks a lot!!!!!!!!!!!
 
assuming the 5800 L is at "atmospheric pressure".. ie 1 atm.

P1V1 = P2V2
P2 = P1V1 / V2

where.
P1 = 1 atm
P2 = ?
V1 = 5800 L
V2 = volume of sphere = 4/3 x pi x r³
V2 = 4/3 x 3.14159 x (35.5 cm)³ x (1 mL / 1 cm³) x (1 L / 1000 mL) = 187 L

P2 = 1 atm x 5800 L / 187 L = 31.0 atm
 
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