Power O Pressure Heat O matter in or out of the system .... except the energy is called Closed system Open sysetm
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- Liquid biofuel (density= 789 kg/m3) is being pumped from a storage tank through a pipe with 1-inch innerdiameter (ID). The fuel is being pumped at a rate of 3.00 gallons per minute. In this process, what is thekinetic energy transport rate (Ėk) in units of horsepower (hp) and ft•lbf/sec.Differentiate between intensive and extensive properties of a system with examples.According to the U.S. Geological survey, the volume of water in oceans, seas, and bays is 1.41 ✕ 1018 m3. The average concentration of naturally occurring uranium in seawater is 3.15 ✕ 10−6 kg/m3. If 0.670% of naturally occurring uranium is the fissionable isotope U-235 and each fission reaction yields 200 MeV, estimate the amount of time the uranium in the seawater on the planet could meet the planet's energy needs at an average usage of 1.94 ✕ 1013 J/s.
- Using Newton's second law, the movement of a body in a viscous fluid can be modeled. For this case it will be a one-dimensional movement. ec.1) F -FR = ma F: Force applied to the body. FR: Resistance that opposes the fluid to the movement. m: body mass a: body acceleration For a sphere with initial radius R0 = 1 meter and density 8960 kg/m^3 to which a constant force of 3 Kilo Newtons is applied, it is requested: Using Euler's method, find the velocity as a function of time for the first 5 seconds of movement, considering that v(0) = 10 m/s. Use a 1 second step. For this case use: ec.2) FR = 210Rv R: Radius of the sphere. v: velocity Where, in addition, the sphere disintegrates as time passes in this fluid, so its radius is given by the following function: ec.3) R = R0*e^(-t/250)A metallic container of fixed volume of 2.5 × 10−3 m3 immersed in a large tank of temperature 27 °C contains two compartments separated by a freely movable wall. Initially, the wall is kept in place by a stopper so that there are 0.02 mol of the nitrogen gas on one side and 0.03 mol of the oxygen gas on the other side, each occupying half the volume. When the stopper is removed, the wall moves and comes to a final position. The movement of the wall is controlled so that the wall moves in infinitesimal quasi-static steps. (a) Find the final volumes of the two sides assuming the ideal gas behavior for the two gases. (b) How much work does each gas do on the other? (c) What is the change in the internal energy of each gas? (d) Find the amount of heat that enters or leaves each gas.In a piping system at sea level, a liquid of relative density 1.5 flows through a pipe 8 cm in diameter.diameter at 1.2 m/s. Fifteen meters above the pipe diameter is reduced to 5 cm, Assume that the temperature of thefluid in the process remains at 30°C, producing a heat loss of 25 N-m/kg. Determine the pressure change in the thermodynamic process.
- Two homogeneous spheres of mass M radius R joined by a bar of length L = 2R, negligible mass, and suspended from its geometric center by a rope such that when rotated ϕ exerts torque −kϕ with k torsion coefficient of the wire. The air exerts dissipative effect F = −6πηv on each sphere, where η is the viscosity of the air and v is the linear velocity of each sphere. If I0 = 25MR2 is the moment of inertia of a sphere with respect to its center of mass (image 1)determine the equation of motion of the pendulum. (image 2)RESULTANT OF NON-CONCURRENT FORCE SYSTEM Engineering MechanicsAn air cannon uses compressed air to propel a projectile from rest to a final velocity. Consider an air cannon that is to accelerate a 10-gram projectile to a speed of 300 m/s using compressed air, whose temperature cannot exceed 20°C. The volume of the storage tank is not to exceed 0.1 m3 . Select the storage volume size and maximum storage pressure that require the minimum amount of energy to fill the tank.
- What does it mean for an engineering device that has steady-flow? (choose 3 answers) 1- it has been operating for a long time. 2- the properties do not change with time. 3- the property values can be different at different location in the device. 4- the total energy content in the control volume remains unchanged. 5- the rate of energy coming into the system equals to the rate of energy exits the system.A solar energy storage compartment contains 1,778 rocks that can approximate 3-inch-diameter spheres. The properties of the rocks are k = 2.2 Btu / h ∙ ft ∙ ºF, α = 0.07 ft2 / h, cp = 0.2 Btu / lbm ° F, and the density is 160 lbm / ft3. How long (in hours) would it take for solar energy to saturate the compartment using 200 ° F air from a solar collector? How much energy (in Btu) is stored in the compartment under these conditions if it is initially at 79 ° F and h = 5 Btu / h ∙ ft2 ∙ ºF?It is important for the body to be able to cool itself even duringmoderate exercise. Suppose a 70kg man runs on a treadmill for 30min and at a (total)metabolic energy expenditure rate of 1000W. Suppose also that the man cannot perspire; and cannot lose any heat viaconduction, convection and radiation (as would be the case with astronauts wearing theirair-tight spacesuit but w/o portable cooling unit). By how much would the man’s bodytemperature increase at the end of the 30min exercise? Express your answer in oC. A) 0.5B) 1.4C) 3.1D) 5.7E) 8.8