To investigate the effect of temperature on the adsorption of nitrogen gas on activated charcoal, the student can perform a series of experiments by varying the temperature and measuring the adsorption isotherms. The adsorption isotherm describes the equilibrium relationship between the amount of gas adsorbed on the solid surface and the gas pressure at a constant temperature.The student can follow these steps to solve the problem:1. Prepare a sample of activated charcoal with a known mass and surface area.2. Set up an experimental apparatus to control the temperature and pressure of the nitrogen gas. This can include a temperature-controlled chamber, a pressure gauge, and a gas flow meter.3. Measure the initial pressure of the nitrogen gas and record it.4. Introduce the activated charcoal into the temperature-controlled chamber and allow it to equilibrate with the nitrogen gas at the desired temperature.5. Measure the pressure of the nitrogen gas after equilibrium has been reached and record it.6. Repeat steps 4 and 5 at different temperatures to obtain a series of adsorption isotherms.7. Analyze the data by plotting the amount of nitrogen gas adsorbed on the activated charcoal as a function of pressure for each temperature. This will result in a series of adsorption isotherms.8. Observe the effect of temperature on the adsorption isotherms. Generally, as the temperature increases, the adsorption capacity of the activated charcoal decreases. This is because the adsorption process is typically exothermic, and higher temperatures provide the gas molecules with more kinetic energy to overcome the attractive forces between the gas molecules and the solid surface.9. Determine the type of adsorption isotherm that best fits the experimental data. Common isotherm models include the Langmuir, Freundlich, and BET Brunauer-Emmett-Teller isotherms. Each model has its own assumptions and mathematical equations that can be used to describe the adsorption process.10. Use the chosen isotherm model to calculate important parameters such as the adsorption capacity, adsorption energy, and surface coverage of the activated charcoal at different temperatures.By following these steps, the student can systematically study the effect of temperature on the adsorption of nitrogen gas on activated charcoal and understand how it changes the isotherm. This knowledge can be applied to optimize adsorption processes in various applications, such as gas separation, purification, and storage.