Answer : The final volume of the sample of gas is, 120 mL
Explanation :
According to the Boyle's law, the pressure of the gas is inversely proportional to the volume of gas at constant temperature and moles of gas.
[tex]P\propto \frac{1}{V}[/tex]
or,
[tex]P_1V_1=P_2V_2[/tex]
where,
[tex]P_1[/tex] = initial pressure = 1.5 atm
[tex]P_2[/tex] = final pressure = 5 atm
[tex]V_1[/tex] = initial volume = 400 mL
[tex]V_2[/tex] = final volume = ?
Now put all the given values in the above formula, we get:
[tex]1.5atm\times 400mL=5atm\times V_2[/tex]
[tex]V_2=120mL[/tex]
Therefore, the final volume of the sample of gas is, 120 mL
