Answer: 1098.6 mL
Step-by-step explanation:
Given that,
Initial volume of gas (V1) = 425mL
Initial pressure of gas (P1) = 2 atm
[Since final pressure is given in mmHg, convert 2 atm to mmHg
1 atm = 760 mmHg
2 atm = 2 x 760 = 1520 mmHg]
Final volume of gas (V2) = ?
Final pressure of gas (P2) = 588 mmHg
Since pressure and volume are given while temperature remains the same, apply the formula for Boyle's law
P1V1 = P2V2
1520 mmHg x 425mL = 588 mmHg x V2
646000 mmHg•mL = 588 mmHg•V2
Divide both sides by 588 mmHg
646000 mmHg•mL/588 mmHg = 588 mmHg•V2/588 mmHg
1098.639 mL = V2
Round the 1098.639 to the nearest tenth, hence it becomes 1098.6
Thus, the final volume of the gas is 1098.6 mL