Answer: The pressure required is 0.474 atm
Explanation:
Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.
[tex]P\propto \frac{1}V}[/tex] (At constant temperature and number of moles)
The equation is,
[tex]{P_1V_1}={P_2V_2}[/tex]
where,
[tex]P_1[/tex] = initial pressure of gas = 1.0 atm
[tex]P_2[/tex] = final pressure of gas = ?
[tex]V_1[/tex] = initial volume of gas = [tex]2000cm^3[/tex]
[tex]V_2[/tex] = final volume of gas = [tex]4.22dm^3=4220cm^3[/tex] ([tex]1dm^3=1000cm^3)[/tex]
Now put all the given values in the above equation, we get:
[tex]{1.0\times 2000}={P_2\times 4200}[/tex]
[tex]P_2=0.474atm[/tex]
The pressure required is 0.474 atm
