Given data
Initial pressure is P1=14N/m2P_1=14 N/m^2P1=14N/m2
Final pressure is P2=10N/m2P_2=10 N/m^2P2=10N/m2
Initial volume is V1=1.5m3V_1=1.5 m^3V1=1.5m3
According to Boyle's law,
P1V1=P2V2P_1V_1=P_2V_2P1V1=P2V2
The final volume is
V2=P1V1P2=(14N/m2)(1.5m3)10N/m2=2.1m3V_2=\frac{P_1V_1}{P_2}=\frac{(14 N/m^2)(1.5 m^3)}{10 N/m^2}=2.1 m^3V2=P2P1V1=10N/m2(14N/m2)(1.5m3)=2.1m3
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Very correct, tested and trusted.