Answer :
Answer: The new volume is 95.45 mL.
Explanation:
Given: [tex]V_{1}[/tex] = 45.0 mL, [tex]P_{1}[/tex] = 0.98 atm
[tex]P_{2}[/tex] = 2.1 atm, [tex]V_{2}[/tex] = ?
According to Boyle's law, at constant temperature the pressure of a gas is inversely proportional to its volume.
Therefore, formula used to calculate the new volume is as follows.
[tex]\frac{P_{1}}{V_{1}} = \frac{P_{2}}{V_{2}}[/tex]
Substitute the values into above formula as follows.
[tex]\frac{P_{1}}{V_{1}} = \frac{P_{2}}{V_{2}}\\\frac{0.98 atm}{45.0 mL} = \frac{2.1 atm}{V_{2}}\\V_{2} = 95.45 mL[/tex]
Thus, we can conclude that the new volume is 95.45 mL.