Answer : The value of new volume is, 50.0 mL
Explanation :
Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.
[tex]P\propto \frac{1}{V}[/tex]
or,
[tex]P_1V_1=P_2V_2[/tex]
where,
[tex]P_1[/tex] = initial pressure at STP = 1 atm
[tex]P_2[/tex] = final pressure = 4.00 atm
[tex]V_1[/tex] = initial volume at STP = 200.0 mL
[tex]V_2[/tex] = final volume = ?
Now put all the given values in the above equation, we get:
[tex]1atm\times 200.0mL=4.00atm\times V_2[/tex]
[tex]V_2=50.0mL[/tex]
Therefore, the value of new volume is, 50.0 mL
