Problem 1 A completely reversible heat engine operates with a source at 2000 R and a sink at 700 R. If the entropy of the sink increases by 15 Btu/R, how much will the entropy of the source decrease? How much heat, in Btu, is transferred from the source? Problem 2 Heat in the amount of 150 kJ is transferred directly from a hot reservoir at 1000 K to a cold reservoir at 500 K. Calculate the entropy change of the two reservoirs and determine if the increase of entropy principle is satisfied.

2. With an initial pressure of 30x105 Pa and constant operating temperature of 200°K in a 40 m³-tank containing ethylene and connected through a long pipe with a length of 1500 m and a diameter of 0.2 m to a reactor operating at atmospheric pressure. a. Calculate the volumetric flow in m3/s to the reactor when the valve is opened. b. Calculate the time needed to halve the pressure in the tank. c. Calculate the mass of gas discharged from the tank from the condition of b.

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. ✓

Prob1- 30% Consider a steam turbine power plant operating near critical pressure, as shown in Fig. below. As a first approximation, it may be assumed that the turbine and the pump processes are reversible and adiabatic. Turbine actual exit state is saturated vapor. Neglecting any changes in kinetic and potential energies, calculate 1. Isentropic Turbine efficiency? 2. The Pump work input and enthalpy at pump exit state? 3. The thermal efficiency of cycle? T1=700 C; P1=P4=15 MPa ; P2=P3=20 KPa; in 3

Your answer is partially correct. An insulated Thermos contains 110 cm3 of hot coffee at 83.0°C. You put in a 15.0 g ice cube at its melting point to cool the coffee. By how many degrees has your coffee cooled once the ice has melted and equilibrium is reached? Treat the coffee as though it were pure water and neglect energy exchanges with the environment. The specific heat of water is 4186 J/kg-K. The latent heat of fusion is 333 kJ/kg. The density of water is 1.00 g/cm³. Number i 20 Units C°

A brass rod and an aluminum rod are 90.00 cm and 90.06 cm, respectively, at 20°C. At what common temperature will the two rods be exactly the same length? Linear coefficient of Expansion per degrees Celsius for Bronze and Aluminum are 19x10^(-6) and 24x10^(-6), respectively. 113.33 C 123.33 C C. 133.33 C d. 143.33 C a. b.

The temperature of 1 m3 of water is decreased by 10C. If this thermal energy is used to lift the water vertically against gravity, what is the change in height of the center of mass?

3.5 kg of an ideal gas is heated at constant temperature from 15 m3 and 4.0 atm to 35 m3 at Determine the work done

A piston cylinder device contains 5 kg hydrogen gas. Heat is transferred to the hydrogen as the temperature increases by 23.28 F. What is the boundary work done during this process kW.

An atomizer forms water droplets 45μm in diameter. Determine the excess pressure within these droplets using σ = 0.0712 N/m.