Please solve question 155?

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Answer 1 · 2018-04-06T16:25:37

The answer is #"option (2)" "300cc"#

Apply Boyle's Law

#"Pressure" xx "Volume"= "Constant"#, #"at constant temperature"#

#P_1xxV_1=P_2xxV_2#

The atmospheric pressure is #P_a=0.7*13.6*1000*9.8=93296Pa#

The pressure at the bottom of the lake is #P_0=47.6*1000*9.8=466480Pa#

The initial pressure is #P_1=P_a+P_0=93296+466480=559776Pa#

The initial volume is #V_1=50 "cc"#

The final pressure is #P_2=P_a=93296Pa#

The final volume is

#V_2=P_1/P_2*V_1=559776/93296*50=300 "cc"#

The answer is #"option (2)" "300cc"#