You have a 1.5m long copper rod with a cross-sectional area of 0.004m^2 and a thermal conductivity of 385.0 W/mK. On one side of the rod you have 5 liters of water at 20 degrees Celsius and on the other side of the rod, you have another 5 liters of water at 95 degrees Celsius. If heat is transferred between the two bodies of water only through the copper rod, how long will it take for the temperatures to become within 1 degree of each other (for example, having temperatures of 54 and 55 degrees)?UTF-8 U+6211 U+662F wrote:Yep, go ahead!Justin72835 wrote:UTF-8 U+6211 U+662F wrote: I believe you missed the essential part of the question1. More. By increasing the volume of the gas, you also increase the number of the microstates of the system by allowing the gas particles to occupy more locations. With more possible states for the gas to obtain, there is more entropy present. 2. More. By increasing the temperature of the gas, you are also increasing the average kinetic energy of the gas particles and thus their rms velocity. With the movements of the gas particles being more erratic and unpredictable at higher temperatures, there are undoubtedly more possible microstates, meaning that the system has a higher entropy. 3. More. WIth a homogenous gas, there are a set number of microstates. Switching any particles around won't create any new microstates because the particles are all identical. However, if instead of a single gas there were multiple gases, switching two gas particles of different species will create new microstates. Thus, the mix of gases has a higher entropy than the homogenous gas. Also, idk what the bonus is :? . 4. More. While monatomic gases only have 3 degrees of freedom (being able to move in the x, y, and z directions), diatomic gases actually have 5 degrees of freedom (being able to move in the x, y, and z directions + vibrational motion + rotational motion). Because of the extra 2 degrees of freedom, the diatomic gas actually has more possible microstates as the molecules can have different orientations and can vibrate differently as well. Therefore, a diatomic gas has more entropy than a monatomic gas.

Note: Assume that the rate of heat transfer changes over time due to the changing temperatures. Also, I asked for a 1 degree difference because it would take an infinite amount of time to actually reach equilibrium under these conditions.