Final Answer:
To determine the temperature at which 41.6 grams of N2 exerts a pressure of 815 torr in a 20.01 L cylinder, the Ideal Gas Law can be used.
Step-by-step explanation:
The Ideal Gas Law is represented by the equation PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
Firstly, calculate the moles of N2 using the given mass (41.6 grams) and the molar mass of nitrogen (28.02 g/mol). Then, rearrange the Ideal Gas Law to solve for temperature: T = PV/(nR). Substitute the known values, ensuring pressure is in atm and volume is in liters. Convert Celsius to Kelvin by adding 273.15.
After calculations, the final temperature is obtained, providing the answer to the question.