Final answer:
The height of the column of gas can be calculated using the ideal gas law by determining the change in volume with temperature. By using the formula V2 = V1 * (T2 / T1) and the given initial and final temperatures, the volume of the gas at 100 °C is calculated to be 12.16 L.
Step-by-step explanation:
To calculate the height of the column of gas, you need to use the ideal gas law, which states that the volume of a gas is directly proportional to its temperature. In this case, since the temperature increased from -196 °C to 100 °C, the volume of the gas will also increase.
Assuming no change in pressure, the new volume can be calculated using the formula: V2 = V1 * (T2 / T1), where V1 is the initial volume, T1 is the initial temperature, V2 is the final volume, and T2 is the final temperature.
Therefore, to find the volume of the gas at 100 °C, you would use the formula: V2 = 2.50 L * (373 K / 77 K) = 12.16 L.