To find the new pressure (P2) of the gas that is compressed to a volume of 5.0 mL from an original volume of 50.0 mL under 1.75 atm of pressure, we can use the formula for Boyle's Law which states that the pressure and volume of a gas are inversely proportional when the temperature is constant. The formula is:
P1 * V1 = P2 * V2
1. Identify the given values:
- Initial pressure (P1) = 1.75 atm
- Initial volume (V1) = 50.0 mL
- Final volume (V2) = 5.0 mL
2. Substitute the values into the formula:
1.75 atm * 50.0 mL = P2 * 5.0 mL
3. Solve for P2:
1.75 * 50 = P2 * 5
87.5 = 5 * P2
P2 = 87.5 / 5
P2 = 17.5 atm
Therefore, the new pressure (P2) of the gas when compressed to a volume of 5.0 mL is 17.5 atm.
