Please solve question 155?

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Answer 1 · 2018-04-06T16:25:37

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

Apply Boyle's Law

$Pressure \times Volume = Constant$ $"Pressure" xx "Volume"= "Constant"$ , $at constant temperature$ $"at constant temperature"$

$P_{1} \times V_{1} = P_{2} \times V_{2}$ $P_1xxV_1=P_2xxV_2$

The atmospheric pressure is $P_{a} = 0.7 \cdot 13.6 \cdot 1000 \cdot 9.8 = 93296 P a$ $P_a=0.7*13.6*1000*9.8=93296Pa$

The pressure at the bottom of the lake is $P_{0} = 47.6 \cdot 1000 \cdot 9.8 = 466480 P a$ $P_0=47.6*1000*9.8=466480Pa$

The initial pressure is $P_{1} = P_{a} + P_{0} = 93296 + 466480 = 559776 P a$ $P_1=P_a+P_0=93296+466480=559776Pa$

The initial volume is $V_{1} = 50 cc$ $V_1=50 "cc"$

The final pressure is $P_{2} = P_{a} = 93296 P a$ $P_2=P_a=93296Pa$

The final volume is

$V_{2} = \frac{P_{1}}{P_{2}} \cdot V_{1} = \frac{559776}{93296} \cdot 50 = 300 cc$ $V_2=P_1/P_2*V_1=559776/93296*50=300 "cc"$

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