Answer: a. three times as large as the initial value.
Explanation:
To calculate the new pressure, we use the equation given by Boyle's law. This law states that pressure is inversely proportional to the volume of the gas at constant temperature (isothermal). Â
The equation given by this law is:
[tex]P_1V_1=P_2V_2[/tex]
where,
[tex]P_1\text{ and }V_1[/tex] are initial pressure and volume.
[tex]P_2\text{ and }V_2[/tex] are final pressure and volume.
We are given:
[tex]P_1=p\\V_1=v\\P_2=?\\V_2=\frac{v}{3}[/tex]
Putting values in above equation, we get:
[tex]p\times v=P_2\times \frac{v}{3}\\\\P_2=3p[/tex]
Thus the resulting pressure will be three times as large as the initial value.
