Boyle's Law Calculation: Determining the Pressure of Compressed Gas
What is the final pressure of the gas in the syringe after the volume is reduced from 5.0 mL to 2.1 mL at a pressure of 115 mm Hg?
The final pressure of the gas in the syringe after the volume is reduced from 5.0 mL to 2.1 mL at a pressure of 115 mm Hg is 273.8 mmHg.
Explanation
Initial Volume (V1) = 5.0 mL
Initial Pressure (P1) = 115 mmHg
Final Volume (V2) = 2.1 mL
Final Pressure (P2) = ?
Boyle's Law equation states that P1V1 = P2V2. By plugging in the values:
115 x 5 = P2 x 2.1
P2 = (115 x 5) / 2.1
P2 = 273.8 mmHg
Therefore, the final pressure, i.e., the pressure of the compressed gas, is 273.8 mmHg.
What is the new pressure of the gas in atm units after the volume reduction and pressure change in the syringe?
The new pressure of the gas in the syringe is 0.360 atm or 273.8 mmHg.
Explanation
Step 1: Data givenVolume = 5.0 mL = 0.005 L
Initial Pressure = 115 mmHg = 0.151316 atm
Volume reduced to 2.1 mL = 0.0021 L
Step 2: Calculate the new pressure of the gas
Using the Boyle's Law formula: P1V1 = P2V2
P2 = (P1 * V1) / V2
P2 = (0.151316 * 0.005) / 0.0021
P2 = 0.360 atm
OR
P2 = 115 * 0.005 / 0.0021
P2 = 273.8 mmHg
Therefore, the new pressure of the gas is 0.360 atm or 273.8 mmHg.