Final answer:
The final volume of the gas is calculated using the combined gas law, converting initial pressure and temperature to atmospheres and Kelvin, respectively, and solving for V2 after rearranging the equation P1V1/T1 = P2V2/T2.
Step-by-step explanation:
The question asks to calculate the final volume of the gas when its temperature is raised to 404.4 K and the pressure is allowed to expand until it reaches 1.06 atm, starting from an initial state of 0.0500 L at 745 mm Hg and 26.4° C. To solve for the final volume, one would typically use the combined gas law, which relates pressure, volume, and temperature of a gas. The final volume can be determined using the formula P1V1/T1 = P2V2/T2, where P1, V1, and T1 are the initial pressure, volume, and temperature, respectively, and P2, V2, T2 are the final pressure, volume, and temperature.
To convert pressures to a consistent unit (atmospheres in this case), the initial pressure must be converted from mm Hg to atm by dividing by the conversion factor 760 mm Hg/atm. Temperature must be in Kelvin, so the initial temperature must be converted from Celsius to Kelvin by adding 273.15. Inserting the converted pressures and temperatures into the combined gas law equation and solving for V2 will yield the final volume.