1. The problem statement, all variables and given/known data "At 310K thermal energy kT=4.28x(10^-21). Use the equation you derived above (which I worked out to be E=(n²h²)/(8mL²) )to determine under which conditions quantum mechanics reduces to classical mechanics." The hint was that "you need to find the value of mL² for which change in E between two adjacent energy levels is equal to kT". 2. Relevant equations E=kt E=(n²h²)/(8mL²) 3. The attempt at a solution I'm not quite sure how to start here, the only thing I've managed to do so far is: ((n2²-n1²)h²)/(8mL²)=4.28x(10^-21) I'm not sure what to do with so many unknowns, or what the question is actually asking me to calculate!