A 4.0-kg piece of aluminum at 29.4 °C is placed in 1.0 kg of water in a Styrofoam container at room temperature (20.0 °C). Part A Estimate the net change in entropy of the system.
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- A system of 7,542 particles initially has 5.44 x 1039 possible configurations. If we remove some of the particles and are left with 2,118 particles in the system what is the change in entropy? You can assume the number of possible configurations does not change.Please express answer in scientific notation to the second decimal placea. Find an appropriate expression for the change in entropy in the following two cases: 1) S=S(T, V) 2) s= S(T, P) Where: S is entropy, T is temperature, V is volume, P is pressure b. Prove the following two themodynamie property relationships (똥),-() 8C, Where: T, P. V are temperature, pressure and volume, respectively. C, and C, are specific heats at constant volume and constant pressure, respectively.Problem 1 The fundamental equation of thermodynamics for a system is given by G = NRT--In(T)+ In(o) where G is Gibbs free energy, N is the number of moles of chemical substance, R is gas constant, T temperature, In is the natural log function, P is pressure. Please derive an expression each for the following: is a. Entropy s as a function of temperature T, pressure p, and number of moles N. b. Volume V as a function of temperature T, pressure p, and number of moles N. c. Helmholtz free energy as a function of temperature T, pressure p, and number of moles N.
- A system of 8,872 particles initially has 3.21*1042 possible configurations. If we remove some of the particles and are left with 3,049 particles in the system what is the change in entropy? You can assume fromthis question the number of possible configurations does not change.Please express answer in scientific notation to the second decimal placeWhen 2.1 kg of water at 12.3 °C is mixed with 3.7 kg of water at 39.7 °C in a well-insulated container, what is the change in entropy of the system? Part A Make an estimate. Express your answer to two significant figures and include the appropriate units. HÁ ? AS = Value Units Submit Request Answer Part B Use the integral AS = [dQ/T. Express your answer to two significant figures and include the appropriate units. HA AS = Value Units Submit Request AnswerQuestion B2i. Give an equation for the infinitesimal change in entropy, ??, of a system in terms of the heat transfer ??? and the temperature ? at which the heat transfer occurs. Explain the sign convention. ii. A litre of water at 20 °C is placed in a fridge at 5 °C. Calculate the change in entropy of the water, including the sign, once all the water has come into thermal equilibrium. iii. Calculate the change in entropy of the fridge from part ii, including the sign. iv. Demonstrate that the Second Law has been obeyed in the process described in ii and iii.
- The heat of melting of ice at 1 atmosphere pressure and 0°C is 1.4363 kcal/mol. The volume of ice is 0.0196 liter and the volume of water is 0.018 liter. If I mole of ice is melted under these conditions, what will be a. The work done in cal? b. The change in internal energy in cal? c. The change in entropy in cal? Note that 1 literxatmosphere is equal to 101.325 joule.The heat of melting of ice at 1 atmosphere pressure and 0°C is 1.4363 kcal/mol. The volume of ice is 0.0196 liter and the volume of water is 0.018 liter. If 1 mole of ice is melted under these conditions, what will be a. The work done in cal? b. The change in internal energy in cal? c. The change in entropy in cal? Note Note that 1 literxatmosphere is equal to 101.325 joule. Sol": given Heat of melting ice at 1 atm pressure = 1.4363 kca kcal/ 2 = 1.4363 kcal/mole mole volume of ice = 0·0196 lts " water = 0.018 lts @ work done is define as w=pdv » w = P(V₁ hot W = 1 (0·018-00196) W = 0·0016 Cal Pay Kat AnsThe density of liquid nitrogen is 810 kg/m³. What is the entropy change of the nitrogen if 140 mL of liquid nitrogen boils away and then warms to 20°C at constant pressure? Express your answer with the appropriate units. AS = Submit μÅ Value Units Previous Answers Request Answer ?
- The figure (Figure 1)shows the cycle for a heat engine that uses a gas having γ=1.25. The initial temperature is T1=300K, and this engine operates at 30 cycles per second. What is the power output of the engine? Pout = 1.6 kW What is the engine's thermal efficiency?The heat of melting of ice at 1 atmosphere pressure and 0°C is 1.4363 kcal/mol. The volume of ice is 0.0196 liter and the volume of water is 0.018 liter. If 1 mole of ice is melted under these conditions, what will be a. The work done in cal? b. The change in internal energy in cal? The change in entropy in cal? Note that 1 literxatmosphere is equal to 101.325 joule. Please solve with clarification of laws and with the order of units [Cal]Problem 5 Consider a substance that has a melting temperature of T= 159 K at p=1 atm and a melting enthalpy of AHm = 4900 J/mol. Determine the entropy of melting the substance.