chemistryyy help

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 measures85.0cm

 wide.

The biologist estimates she will need 

2400.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.

Answer 1

Calculate volume of a sphere from the given diameter.

Assume constant temperature we have the relation P1V1=P2V2

Asume the 2,400 liters is air at 1 atm pressure

Then P2 = P1 V1/V2 V2 is less than V1 such that the pressure must be greater than 1 atm pressure

However, the estimate of 2400 L required only enables reporting this to 2 sig figs and not the 3 requested.

And really not even knowing the initial pressure of the air and stating 1 atm takes this to just 1 sig fig.