Question

O GASES Solving applications of Boyle's Law Omar V 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 87.0 cm wide. The biologist estimates she will need 7100. 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

UN Width of sphere = 87.0 cm - Radius of spherical tank = sphew'cal tanke = Diameter of 87 = 43.5 cm > Volume of sphere = y + (0)3 5 x 27 x (92) = 57,948,264 168 = 344,930. 143 cm3 = 344.9 L Assuming the 7100L of air is measured at atmospheric pressure, then from Boyle's law have the following relationship Pivi = Pz Va (1) (7100) - P (344.9) 1 P2 = 2005 atm lam we To Pressure to be compressed which these volume is 2005 am of air must