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How to do the integral? So that the expected value of internal energy must be as follows. Our professor said that there is Gaussian involved)...Please show steps
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- For a p, v, T system formed by a mole, it has been empirically obtained that the internal energy per unit mass can be written in the form: u = apv+b, where a, b are constants. Find the equation for the adiabat in this system.Write down the thermodynamic equations of state for the pressure and entropy which follow from the Helmholtz free energy F. Hence express the heat capacity at constant volume in terms of F. [You may use the definition: dF = −SdT – PdV.]hey, please answer the question with all steps evident, and please answer them as simplistically as possible. also, part B has a typing error. it is meant to ask us for molar mass. not modular mass thank you
- A plastic bag containing 0.2 kg of water at 20°C is dropped from a height of 0.5 m onto an insulating carpet. Assume that the bag does NOT break. What is the approximate probability that a similar bag sitting on a carpet will do the reverse; that is, spontaneously jump 0.5 m in the air? Express your answer in the form "Probability = 10-x," where x is a number you will calculate. (Hint: Note that ey = 10y÷ln(10).)wouldn't it be -7.5J, if you consider ground as 0 and anythng higher is postive, the jar losses energy right?please show the work for a,b,c
- Answer in 90 minutes please.Please solve and explian the solution: Let M represent a certain mass of coal which we assume will deliver 100 joules of heat when burned – whether in a house, delivered to the radiators or in a power plant, delivered at 1000°C. Assume the plant is ideal (no waste in turbines or generators) discharging its heat at 30°C to a river. How much heat will M, burned at the plant to generate electricity, provide for the house when the electricity is:(a) delivered to residential resistance-heating radiators?(b) delivered to a residential heat pump (again assumed ideal) boosting heat from a reservoir at 0°C into a hot-air system at 30°C?I am doing an experiment on calculate latent heat from a kettle. I calculate the latent heat against time. I was hoping to see the it would remain constant. So I plotted 2 graphs the mass of evaporated water and the calculated latent heat. Could you explain to me why my caluclate latent heat graph is a polynomial while the mass change is linear?