Final answer:
To answer the student's question, we use the combined gas law formula (P1 * V1) / T1 = (P2 * V2) / T2, after converting the units for temperature to Kelvin and volume to liters,
Step-by-step explanation:
To calculate the new volume of a gas at a different temperature and pressure, we can use the combined gas law, which relates the pressure, volume, and temperature of a gas. The combined gas law formula is: (P1 * V1) / T1 = (P2 * V2) / T2, where P is the pressure, V is the volume, and T is the temperature in Kelvin.
Before using the formula, we must convert all measurements to the correct units: temperature (K), pressure (atm, torr, or mmHg), and volume (L).
Since we have a volume of 713.4 ml at -23.0 °C and 245.9 torr, we first convert the volume to liters (1 mL = 0.001 L) and temperature to Kelvin (K = °C + 273). After that, we use the combined gas law to solve for the new volume at 509.8 °C and 124.6 torr. Remember to adjust the temperature to Kelvin for the new conditions as well.
By calculating this, we will arrive at the answer to the student's question.