Calculate the change in internal energy, change in enthalpy,
work done, and the heat supplied in the
following processes: (a) An ideal gas is expanded from 5 bar to 4
bar isothermally at 600 K (b) An ideal gas contained in a vessel of
0.1 m3 capacity is initially at 1 bar and 298 K. It is heated
at
constant volume to 400 K. (Assume that Cp = 30
J.mol-1.K-1)
Calculate the change in internal energy, change in enthalpy, work done, and the heat supplied in...
2. Find the changes in internal energy (AU) and enthalpy (AH) per kmol, for air going from 10 bar, 277 K and 2.28 m3/kmol (molar volume), to 333 K and 1 atm. Use the following: 4 Cp = 29.3 kJ kmol-? K-1 Cy = 21 kJ kmol-? K-1 PV/T = constant Do not use any additional properties of ideal gases. There is no need to prove the gas is ideal or to use such properties. Hint: split the process up...
Nitrous oxide (N2O) behaves as an ideal gas and has a heat capacity at constant pressure CP = 38.6 J/K∙mol. 4.2 moles of N2O initially at 298 K are heated at constant pressure until a final temperature of 358 K is reached. (a) Calculate the enthalpy change of N2O during that process. (b) Calculate the heat transfer Q during that process. (c) Calculate the work W performed during that process. (d) Calculate the change in internal energy ΔU during that...
Calculate the change in enthalpy as 1 Kg of nitrogen is heated from 1000 K to 1500 K, assuming the nitrogen is an ideal gas at a constant pressure. The temperature-dependent specific heat of nitrogen is: Cp = 39.06 - 512.79T^-1.5 + 1072.7T^-2 - 820.4T^-3, Cp is in kJ /kmole· K, and T is in K. a) 600 kJ b) 700 kJ c) 900 kJ d) 800 kJ e) 1000 kJ
As shown in Fig. P2.56, a gas contained within a piston–cylinder assembly, initially at a volume of 0.1 m3, undergoesa constant-pressure expansion at 2 bar to a final volume of0.12 m3, while being slowly heated through the base. Thechange in internal energy of the gas is 0.25 kJ. The pistonand cylinder walls are fabricated from heat-resistant material,and the piston moves smoothly in the cylinder. The localatmospheric pressure is 1 bar.(a) For the gas as the system, evaluate work and heat...
Carbon dioxide gas is contained in a rigid vessel (internal volume-200 liters, mass-10 kg. Cp= 0.47 kJ/kg K). The gas is initially at 25°C and 1 atm. Heat is transferred to the gas and the vessel from an external heat source maintained at 500°C until the temperature of the gas reaches 400°C. Calculate the amount of heat transferred. Is this process reversible? Support your answer by calculating (AS)iotal. Assume CO2 to be an ideal gas with Cp given as a...
for part a) got W = 4kJ, dQ = 4.25 kJfor part b) got w = 2kJ...How do you find ΔPE without mass? Do you use the conservation of energy equation?As shown in Fig. P2.56, a gas contained within a piston–cylinder assembly, initially at a volume of 0.1 m3, undergoesa constant-pressure expansion at 2 bar to a final volume of0.12 m3, while being slowly heated through the base. Thechange in internal energy of the gas is 0.25 kJ. The pistonand...
Because (∂H/∂P)T =−CPμJ−T, the change in enthalpy of a gas expanded at constant temperature can be calculated. To do so, the functional dependence of μJ−T on P must be known. Part A Treating Ar as a van der Waals gas, calculate ΔH when 1 mole of Ar is expanded from 329 bar to 1.68 bar at 375 K. Assume that μJ−T is independent of pressure and is given by μJ−T=[(2a/RT)−b]/CP,m, and CP,m=5/2R for Ar. The van der Waals parameters a...
Physical Chemistry Calculate the change in entropy when one mole of metallic aluminum is heated at one bar pressure from an initial temperature of 25 °C to a final temperature of 750 °C. The molar heat capacities of solid and liquid aluminum at one bar pressure are 29.2 J mol K1 and 31.75 J mol K, respectively. The specific enthalpy of fusion of aluminum at its melting point (660.46 °C) is 396.57 J g1. The molar mass of aluminum is...
As shown in the figure below, a gas contained within a piston-cylinder assembly, initially at a volume of 0.1 m3, undergoes a constant-pressure expansion at p 2 bar to a final volume of V2 0.2 m3, while being slowly heated through the base. The change in internal energy of the gas is 0.25 kJ. The piston and cylinder walls are fabricated from heat-resistant material, and the piston moves smoothly in the cylinder. The local atmospheric pressure is 1 bar. Piston-...
An ideal monatomic gas is contained in a vessel of constant volume 0.470 m3. The initial temperature and pressure of the gas are 300 K and 5.00 atm, respectively. The goal of this problem is to find the temperature and pressure of the gas after 30.0 kJ of thermal energy is supplied to the gas. (a) Use the ideal gas law and initial conditions to calculate the number of moles of gas in the vessel. mol (b) Find the specific...