The only form of energy possessed by molecules of a monatomic ideal gas is translational kinetic energy. From kinetic, the average kinetic energy per molecule is Emolecule Use these results to show that the internal energy of a monatomic ideal gas at pressure P and occupying volume V may be written as U =

For a p, v, T system formed by a mole, it has been empirically obtained that the internal energy per unit mass can be written in the form: u = apv+b, where a, b are constants. Find the equation for the adiabat in this system.

a. Consider the steady adiabatic flow of an incompressible fluid. If the temperature of thefluid remain constant during flow, is it accurate to say that the frictional effects arenegligible? b. A person is filling a knee-high bucket with water using a garden hose and holding it suchthat water discharges from the hose at the level of his waist. Someone suggests that thebucket will fill faster if the hose is lowered such that water discharges from the hose atthe knee level. Do you agree with this suggestion? Explain. Disregard any frictionaleffects.

A monatomic ideal gas expands adiabatically from 1.8 m³ to 4 m³. If the initial pressure is 102 kPa, calculate the energy in kJ transferred to or from the system by heat.