Use the Maxwell relations to express the derivatives (ðœ•Pâ„ðœ•S)subV and (ðœ•Vâ„ðœ•S)subP in terms of the heat capacities, the thermal coefficient and the isothermal compressibility.
Answer The first law dU= T dS- pdV+µdN yields T = (dU/d S) V,NP= -(dU/dV) S,Nµ =(dU/dN) S,Vfrom the definition of heat capacity it follows that :Cv = (dQ/dT) V,N = (dU/dT)V,NSince, U may be…
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1. A frictionless projectile is fired from the North Pole and is aimed along the prime meridian. It takes six hours to reach its landing point, halfway to the equator. Where does it land? (Give latitude and longitude). If the same projectile were fired from the South Pole under the same circumstances, where does it land? (Give latitude and longitude). Explain.
2. How might the Earth’s climates system be affected if the Earth’s axis of rotation were perpendicular to the plane of its orbit instead of being inclined at 23 ½ degrees?
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1.Two substances are mixed together. Explain how the observer could determine if this reaction is just a mixture or an actual chemical reaction. Give an example of two reactants that would form a mixture and two reactants that would form a chemical reaction
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kH, the Henry’s Law constant, for oxygen (O2) in water is 769.2 Latm/mol at 298K. Furthermore we know that air at sea level (1 atm.) is 21% oxygen. a. Under standard conditions (298 K and 1 atm. total pressure) Calculate the solubility (moles/liter) of O2 in water. b. Calculate the mass of O2 in grams dissolved in a fishing pond whose volume is 5 x 107 liters when the temperature is 298K and atmospheric pressure of air is 1 atm.
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A shell is fired from the ground with an initial speed of 1.58 103 m/s at an initial angle of 51° to the horizontal.(a) Neglecting air resistance, find the shell’s horizontal range. m(b) Find the amount of time the shell is in motion. s
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A .0002 kg spider is suspended from a thin strand of spider web. The greatest tension the strand can withstand without breaking is .002 n. What is the maximum acceleration with which the spider can safely ascent the strand?
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A sample of gas with an initial volume of 33.0 L at a pressure of 765 mmHg and a temperature of 325 K is compressed to a volume of 16.2 L and warmed to a temperature of 440 K. What is the final pressure of the gas?P final= ?