Answer: The final volume decrease with an increase in pressure at constant temperature
Explanation:
According to Boyle's law, pressure of a gas is inversely proportional to the volume of a gas at constant temperature and constant number of moles.
[tex]{P_1V_1}={P_2V_2}[/tex]
where,
[tex]P_1[/tex] = let initial pressure of gas = p
[tex]P_2[/tex] = final pressure of gas = 2p
[tex]V_1[/tex] = initial volume of gas = v
[tex]V_2[/tex] = final volume of gas = ?
Now put all the given values in the above equation, we get:
[tex]{p\times v}={2p\times V_2}[/tex]
[tex]V_2=\frac{v}{2}[/tex]
Thus the final volume decrease with an increase in pressure at constant temperature
