A + 2B → C The constant pressure heat capacity of A, B, and C are b₁ Cp (A) = a₁ + T Cp(B) = a2 + czT b3 + 01/27 + C₂T² Cp (C) = a3 + a₁, A2, A3, b₁, b3, C2, C3 are constants. Derive a more accurate Kirchhoff's law that reflects this reaction.
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- What are the numerical values of the heat capacities c-v and c-p of a monatomic ideal gas,in units of cal/mol.K and L.atm/mol.K?What is the finaltemperature of0.122 mole ofmonatomic ideal gas that performs 75J of work adiabatically if the initial temperature is 235C?For CO_2 how would the theoretical ratio of C_p (heat capacity at constant pressure)/ C_v (heat capacity at constant volume) be affected if the molecule were nonlinear, such as SO_2, instead of linear? Could you decide between these two structures from the C_p/C_v ratio alone?
- At low temperatures the heat capacity of Ag(s) is found to obey the Debye law Cp,m = aT3, with a = 1.956 × 10−4 J K−4 mol−1. Determine Sm(10 K) − Sm(0) for silver.1. In an isobaric system, one (1) mole of monoatomic ideal gas at 25 °C was heated, then undergoes expansion against a constant external pressure of 1 atm until the initial volume of 1 L become 10 L. Calculate: a) Temperature T2 b) Work, w c) Internal Energy, AU d) Enthalpy, AH. e) Heat , qThe constant-pressure heat capacity of a sample of a perfect gaswas found to vary with temperature according to the expression Cp/(J K−1) = 20.17 + 0.3665(T/K). Calculate q, w, ΔU, and ΔH when the temperature is raised from 25 °C to 100 °C (i) at constant pressure, (ii) at constant volume.
- Calculate the theoretical value of C_p (constant pressure heat capacity)/ C_v (constant volume heat capacity) for the following gases: Ar, CO_2, and N_2A sample of a serum of mass 25 g is cooled from 290 K to 275 K at constant pressure by the extraction of 1.2 kJ of energy as heat. Calculate q and ΔH and estimate the specific heat capacity of the sample.The temperature of a block of iron (Cv,m = 25.1 J K-1 mol- 1) of mass 1.4 kg fell by 65 °c as it cooled to room temperature.What is its change in internal energy?
- A) For nitrogen gas the values of Cv and Cp at 25°C are 20.8 J K−1 mol−1 and 29.1 J K−1 mol−1, respectively. When a sample of nitrogen is heated at constant pressure, what fraction of the energy is used to increase the internal energy of the gas? B) How much energy (in KJ) is required to raise the temperature of 136.4 g N2 from 25.0°C to 87.0°C in a vessel having a constant volume?The equation of state for a certain gas is given by P[(V/n)-b] = RT. Obtain an expression for the maximum work done by the gas in a reversible isothermal expansion from V1 to V2.The constant-pressure heat capacity of a sample of a perfect gas was found to vary with temperature according to the expression Cp(JK–1) = 20.17 + 0.03665(T). Calculate q, w, ΔU, and ΔH when the temperature is raised from 25°C to 300°C(a) at constant pressure(b) at constant volume