If a scuba diver fills his lungs to full capacity of5.0 L when 5 mbelow the surf

Question

If a scuba diver fills his lungs to full capacity of5.0 L when 5 mbelow the surface, to what volume would his lungs expand if hequickly rose to the surface?
       _______L Can you please help solve this problem and show thesteps. It helps me understand better. If a scuba diver fills his lungs to full capacity of5.0 L when 5 mbelow the surface, to what volume would his lungs expand if hequickly rose to the surface?
       _______L Can you please help solve this problem and show thesteps. It helps me understand better.

Explanation / Answer

given that intial volume = v1 = 5.0L height = h = 5m the pressure at a depth h is givenbyP1 = atomisperhic pressure +gh                                                           = 1.01 * 105 N/m2 + 103 *9.8 * 5 = 1.5 * 105 N/m2 from the ideal gas equation at a depth 5m belowthe surface                        P1V1= nRT -----(1)                       1.5 * 105 N/m2 V1 = nRT at the surface of the sea        PV = nRT ------(2)     1.01 * 105 N/m2 *V = nRT----(2) from equation    dividing both eq              P1V1 = PV            1.5 *105 * 5.0 = 1.01 * 105 *V                        V =    1.5 * 105 * 5.0/1.01 * 105= 7.4lit the volume his lungs expanded by = V =7.4lit

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