Air undergoes a polytropic process in a piston-cylinder assembly from p₁ = 1 bar, T₁ = 295 K to p2 = 9 bar. The air is modeled as an ideal gas and kinetic and potential energy effects are negligible. For a polytropic exponent of 1.4, determine the work and heat transfer, each in kJ per kg of air, (1) assuming constant cy evaluated at 300 K. (2) assuming variable specific heats.
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- A 9.00-mol sample of H₂ gas is contained in the left side of the container shown below, which has equal volumes on the left and right. The right side is evacuated. When the valve is opened, the gas streams into the right side. H₂ Valve Vacuum (a) What is the entropy change of the gas? J/K (b) Does the temperature of the gas change? Assume the container is so large that the hydrogen behaves as an ideal gas. The temperature decreases. O The temperature increases. The temperature does not change. ✓:A rigid tank contains 5 kg of saturated vapor steam at 100°C. The steam is cooled to the ambient temperature of 25°C. a) Determine the entropy change of the steam, in KJ/K b) For the steam and its surrounding, determine the total entropy change associated with this process, in KJ/K.Prove that k = 1.35 in the problem: The internal energy of a certain ideal gas is given by the expression u = 850 + 0.529 Pv Btu/lb. where P is in psia. Identify the exponent k in the Pvk = C for this gas undergoing in an isentropic process.
- An aluminum pipe has a length of 60 m at a temperature of 10° C. An adjacent steel pipe at the same temperature is 5 mm longer than the aluminum pipe. At what temperature (degrees Celsius) will the aluminum pipe be 15 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are aAL=23x 10^-6°C and as=12x10^-6° C respectively)An aluminum pipe with a length of 60 m at a temperature of 10°C rests freely on the ground. An adjacent steel pipe at the same temperature is 5 mm longer than the aluminum pipe. (a) At what temperature (degrees Celsius) will the aluminum pipe be 15 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are a=23x10-6/°C and as-12x10-6/ c, respectively.) (b) What is the axial stress developed in the aluminum pipe when the temperature was increased? 5 mm Aluminun Steel Figure No. 1The molar enthalpy of vaporization of benzene at its normal boiling point (80.09°C) is 30.72 kJ/mol. Assuming that ∆H vap and ∆S vap do not change with temperature, calculate the value of ∆G vap at 75.0°C, 80.09°C and 85.0°C.
- An aluminum pipe has a length of 65 m at a temperature of 16°C. An adjacent steel pipe at the same temperature is 5 mm longer than the aluminum pipe. At what temperature (in degrees Celsius) will the aluminum pipe be 14 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are a, = 23 x 10-6/°C and a = 12 x 10-6/°C, respectively. Also assume that the temperature of both pipes change equally.) °CAn aluminum pipe with a length of 60 m at a temperature of 10°C rests freely on the ground. An adjacent steel pipe at the same temperature is 5 mm longer than the aluminum pipe. (a) At what temperature (degrees Celsius) will the aluminum pipe be 15 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are ca=23x10-6/°C and as=12x10-6/°C, respectively.) (b) What is the axial stress developed in the aluminum pipe when the temperature was increased? Aluminun Steel Figure No. 1 5 mmA vapor compression refrigeration cycle uses steam as the working fluid. Steamflows steadily with a mass ow rate of 0.5 kg/s. Saturated vapor at 2.0 o C (State 1) enters an uninsulated compressor and it is compressed to 0.35 bar (State 2). Heat transfer at the rate of 105 kJ/s occurs from the compressor to its surroundings and the heat transfer exactly balances the entropy generation rate so that s2 = s1. The boundary and surrounding temperature of the compressor is measured to be 26.67 o C. Steam exits as saturated liquid at 0.34 bar (State 3) from the condenser. Steam leaving the condenser is then throttled in an expansion valve (State 4) before entering a constant pressure evaporator to complete the thermodynamic cycle. (a) Calculate the power (kJ/s) for the compressor. (b) Determine the isentropic efficiency (%) of the compressor. (c) Calculate the entropy generation for the compressor. (d) Find the coefficient of performance of the refrigeration cycle. (e) Show the cycle on T-s…
- (9A metal rod made of some alloy is to be used as a thermometer. At OoC its length is 40000cm, and at 1000C its length is 40060cm. (a) What is the linear expansion coefficient of the alloy? (b) what is the temperature when its length is 39975cm?An aluminum pipe has a length of 75 m at a temperature of 18°C. An adjacent steel pipe at the same temperature is 0.005 m longer than the aluminum pipe. At what temperature (0C) will the aluminum pipe be 0.015 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are aa = 23 x 10–6/°C and as = 12 x 10–6/°C, respectively.)One pound of an ideal gas undergoes and isentropic process from 95.3 psig and a volume of 0.6 ft³ to a final volume of 3.6 ft3. If Cp = 0.124 BTU/lbm-°R and Cy = 0.093 BTU/lbm-°R, determine: 1. Final temperature in °F 2. Final pressure in psia 3. Change in enthalpy in BTU 4. Work in BTU