Answer:
<em>The volume of the feathers in ft³ = 16 ft³</em>
Explanation:
Density: This can be defined as the ratio of mass of a body to the corresponding volume of that body. The S.I unit of Density is kg/m³
Mathematically it can be expressed as,
D = m/v ................................... Equation 1
making v the subject of the equation above,
v = m/D ............................. Equation 2
Where D = Density of the feathers, m = mass of the feathers, v = volume of the feathers.
Given: D = 0.50 lbs/ft³, m = 8.0 lbs.
Substituting into equation 2
v = 8/0.5
v = 16 ft³
<em>Thus the volume of the feathers in ft³ = 16 ft³</em>
Kinetic energy: the energy of motion
Work: the change in kinetic energy
Power: the rate of work done
Explanation:
The kinetic energy of an object is the energy possessed by the object due to its motion. Mathematically, it is given by:
where
m is the mass of the object
v is its speed
The work done an object is the amount of energy transferred; according to the energy-work theorem, it is equal to the change in kinetic energy of an object:
where
is the final kinetic energy
is the initial kinetic energy
Finally, the power is the rate of work done per unit time. Mathematically, ti can be expressed as
where
W is the work done
t is the time elapsed
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A process with a negative change in enthalpy and a negative change in entropy will generally be: <u>spontaneous</u>.
<h3>Gibbs free energy:</h3>
Since the Gibbs free energy is a parameter that tells us whether a chemical reaction is spontaneous (Gibbs free energy less than 0) or nonspontaneous (Gibbs free energy greater than 0) in this situation, we can describe it mathematically as:
ΔG = ΔH - TΔS
Therefore, any process with a negative change in enthalpy and a positive change in entropy will be spontaneous. If the enthalpy and the entropy are both negative, the subtraction becomes always negative, for which the Gibbs free energy is also negative.
One of the most crucial thermodynamic functions for the characterization of a system is the Gibbs free energy. It influences results like the voltage of an electrochemical cell and the equilibrium constant for a reversible reaction, among others.
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