A perfect gas has a value of R=58.8 ft.lb/lb.R and k=1.26. If 20 Btu are added to 5 lb of this gas at constant volume when the initial temperature is 90° F, find (a) ∆U and (b) work for a nonflow process.

0.5 kg of air at 180 ° C expands adiabatically to 3 times its original volume during the expansion the temperature is decreased to 20 ° C. Work done during expansion is 53 kJ. Find cv, cp, and R.

3. 0.5 kg of air with a pressure of 2 MPa and a temperature of 250 °C expands while satisfying the relationship of'PV^1.25=constant'. Find what has been done during this process as it expands until the temperature reaches 330 K.

A gas is compressed inside a compressor’s cylinder. Whenthe piston is at its bottom dead center, the gas is initiallyat 10 psig, 65°F, and 10.5 in3. After compression andwhen the piston is at top dead center, the gas is 180°Fand occupies 1.5 in3. What would be the new pressure ofthe gas in psig?

A rigid container contains m = 3 kg of air. The air changes from an initial state of P1 = 0.5 MPa and T1 = 75°C to its final pressure P2 = 1.2 MPa while it is stirred. The heat absorbed is Q12 = 195 kJ. Assume air to be an ideal gas with cv = 0.714 kJ/kg K. Determine the final temperature T2, change in thermal energy _U12 and work done W12

1.3 1 kg of air has a volume of 85 litres and a temperature of 150ºC. The air is heated at constant volume until the temperature is 250ºC. It is then expanded according to the law Pv1.3 = C until the pressure has halved. R for air is 0.287 kJ/kg.K and Cp = 1.005 kJ/kg.K.(a) Calculate the change in entropy during the constant volume heating process(b) Calculate the pressure at the beginning and end of constant volume process, the temperature and pressure at the end of expansion and the volume at the end of expansion.(c) Calculate the change in entropy during the expansion

An ideal gas is compressed from a volume of V, = 6.00 L to a volume of V, = 3.00 L while in thermal contact with a heat reservoir at T = 295 K as in the figure below. During the compression process, the piston moves down a distance of d = 0.145 m under the action of an average external force of F = 21.0 kN. (a) Find the work done on the gas. kJ (b) Find the change in internal energy of the gas. k) (c) Find the thermal energy exchanged between the gas and the reservoir. kJ (d) If the gas is thermally insulated so no thermal energy could be exchanged, what would happen to the temperature of the gas during the compression? O The temperature would decrease. O The temperature would remain constant. O The temperature would increase.

3. A gas expands from the states V₁ = 1 m³ and P₁ = 40 Pa to V₂ = 3 m³ and P₁ = 15 Pa along path B in the PV diagram below. Then this gas is compressed back to V₁ either through paths A or C. How much work, total internal energy, and heat is done by the gas along paths (A) OBCO and (b) OBCO