chemistry question

Question

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 89.0cm wide. The biologist estimates she will need 4900.L 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. atm

Answer 1

1). Calculate the volume of the spherical tank

V = 4/3 π r³ = 4/3 x 3.14 x (89.0 cm)³

V = 2,952,967 cm³

V = 2.95 Liters

2). Use P1V1 = P2V2 to find the new pressure

P1 = 1 atm (assumed)

V1 = 4900 L

P2 = ?

V2 = 2.95 L

(1 atm)(4900 L) = (P2)(2.95 L)

P2 = 1661 atm