Twenty-five identical molecules are in a box. Microstates are designated by identifying the molecules in the left and right halves of the box The Boitzmann constant is 1.38 10- JK. Find the entropy associated with the configuration for which 15 molecules in the left half and 10 molecules in the right half

2) Design a chain link (meaning find its diameter) made out of a ductile cast iron which needs to operate in a furnace that is used to fire ceramic bricks. The chain will be used for five years at 600°C with an applied load of 5000 lbs. Below is a diagram of the chain link and the Larson-Miller parameter graph for this particular cast iron. Be sure to use the specific equation for the Larson-Miller parameter provided on the x-axis of the graph. Furthermore, for your calculations assume a Safety Factor of 2. Stress (psi) 20,000 10,000 8,000 6,000 4,000 2,000 1,000 32 34 36 Larson-Miller parameter = 30 38 40 42 (36+0.78 ln 1) T(K) 1000 1200 dis SH ER

Geochemical Box Models - please use same terminology found in question Consider an element X exchanging between two geochemical reservoirs A and B. Let MA and MB be the masses of X in reservoirs A and B, respectively; let tA and tB be the residence times of X in reservoirs A and B, respectively. Further let M = MA + MB be the total mass of X in the two reservoirs combined. Consider a situation where additional mass M' is injected into reservoir A at time t=0 increasing the total amount of element X in the system from M0 to M1, with no further injection at later times; further assume that tA >> tB, that the total mass in the altered system is M1 = M0 + M', and that M0 << M'. Give an expression for MB(t) as a function of M1, tA, tB, and t. What is the characteristic time for MB to approach steady state? What is the characteristic time for MA to approach steady state?

In the 1970s cartoon The Super Friends, the Wonder Twins helped Superman and others fight crime. One of the Wonder Twins was Zan, who was able to take on the form of H2O in its various phases (ice, liquid water, water vapor). After taking a physics class, he decides to conduct a little experiment by turning into an ice igloo in the park on a hot day. (a) If his total mass as an igloo is 64.50 kg and he starts with a temperature of −13.50°C, how much heat must flow into him to completely melt his body? J(b) He continues absorbing energy up to the point where he would start to vaporize (100.0°C). How much more heat is required to raise his temperature to the vaporization point? J(c) How much more heat is required to turn him into water vapor at 100.0°C? J(d) If we model the water vapor molecules making up his body as having only six degrees of freedom, what is the average kinetic energy of one of the water vapor molecules that make up Zan? (Consider the case when Zan is water vapor at…

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