Final answer:
To solve the student's chemistry problem, use Charles' Law to calculate the new volume of helium by converting temperatures to Kelvin and rearranging the Charles' Law formula V1/T1 = V2/T2 to solve for the final volume.
Step-by-step explanation:
The student's question involves applying the Charles' Law relationship between the volume and temperature of a gas held at constant pressure. The question seeks to calculate the new volume of helium gas when it is cooled from 27 degrees Celsius to -78.0 degrees Celsius at constant pressure. To find the new volume, we can use the formula V1/T1 = V2/T2, where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature. Remember to first convert temperatures from Celsius to Kelvin by adding 273.15.
In this case, the initial volume (V1) is 113L and the initial temperature (T1) is 27 degrees Celsius, which is 300.15K (27 + 273.15). The final temperature (T2) is -78.0 degrees Celsius, or 195.15K (-78 + 273.15). We solve for V2, the unknown final volume, by rearranging the equation to V2 = V1 * (T2/T1), and then plugging in the known values. This will yield the final volume in liters.