Answer:
146.67 mL
Step-by-step explanation:
P1V1/T1 = P2V2/T2
where P1, V1, and T1 are the initial pressure, volume, and temperature of the gas, and P2, V2, and T2 are the final pressure, volume, and temperature.
We are given that the initial pressure and volume are 550 mmHg and 200 mL, respectively. The temperature is held constant, so T1 = T2. We want to find the final volume when the pressure is 750 mmHg, so P2 = 750 mmHg.
Substituting these values into the combined gas law, we get:
550 mmHg × 200 mL = 750 mmHg × V2
Solving for V2, we get:
V2 = (550 mmHg × 200 mL) / 750 mmHg = 146.67 mL
Therefore, the volume of the gas at a pressure of 750 mmHg is 146.67 mL when the temperature is held constant.