The answer is:
The first measurement of volume is equal to 835.23 mL.
Boyle's Law equation can be used when the temperature is kept constant, and it establishes a relation between the pressure and volume, showing that when an ideal gas is kept constant, the pressure and volume are inversely proportional.
So, we Boyle's Law equation states that:
[tex]P_{1}V_{1}=P_{2}V_{2}[/tex]
Where,
[tex]P_1=FirstPressure\\V_1=FirstVolume\\P_2=NewPressure\\V_2=NewVolume[/tex]
Now, if we are looking for the first volume measurement, we need to rewrite the equation as follow:
[tex]P_{1}V_{1}=P_{2}V_{2}\\\\V_{1}=\frac{P_{2}V_{2}}{P_{1}}[/tex]
So, substituting the given information and calculating, we have:
[tex]V_{1}=\frac{8.59atm*527mL}{5.42atm}[/tex]
[tex]V_{1}=\frac{4526.93atm.mL}{5.42atm}=835.23mL[/tex]
Hence, the first measurement of volume is equal 835.23 mL.
Have a nice day!
