A system undergoes a change such that the pressure changes from 0.36 atm to 0.34 atm and the volume changes from 8 L to 19 L. Si
1 answer:
Answer : The value of is 4.76 J
Explanation :
Formula used :
According to the ideal gas equation,
So,
where,
= internal energy of the reaction = -358 J
= enthalpy of the reaction = ?
= initial pressure = 0.36 atm
= final pressure = 0.34 atm
= initial volume = 8 L
= final volume = 19 L
Now put all the given values in the above formula, we get:
conversion used :
Therefore, the value of is 4.76 J
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Capacitor in series with a 100Ω resistor and a 18.0 mH inductor will give a resonance frequency of 1000 Hz is 1.38F
Resonance Frequency of a combination of Series LCR circuit is the frequency at which resonance is achieved in a circuit.
Resonance Frequency of a combination of Series LCR circuit is given by:
f = 1 / 2π
where, f is the resonance Resonance Frequency of a combination of Series LCR circuit
L is the Inductance of the inductor
C is the capacitance of the capacitor
Given,
f = 1000Hz
L = 18.0 mH = 0.018H
R = 100Ω
C = ?
On substituting the values in the above-mentioned formula:
1000 = 1 / 2π
2π = 0.001
On solving, C = 1.38 F
Hence, the capacitance of the given capacitor is 1.38F.
Learn more about Resonant frequency here, brainly.com/question/13040523
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Answer:
a) 17.16m/s
b) 44,145J
c) Sound the piano makes when hitting the ground, vibration of the ground, heat.
d) i) It's smaller due to the energy dissipated by the friction between air and the parachute.
ii) It stays the same, the only difference is that the dissipated energy is distributed between air resistance and the kinetic energy dissipated by the ground whent he piano hits it.
Explanation:
a)
In order to solve this problem we must start by doing a drawing of the situation, which will help us visualize the problem better. (See attached picture).
So, in this problem we can ignore air resistance so we can say that the energy is conserved, this is the total initial energy is the same as the total final energy, so we get that:
When the piano is released it has an initial speed of zero, so the initial kinetic energy is zero. When the piano hits the ground it will have a height of 0m, so the final potential energy is zero as well. This will simplify our equation:
We know that potential energy is given by the formula:
U=mgh
and kinetic energy is given by the formula:
which can be substituted in our equation:
we can divide both sides of the equation into the mass of the piano, so we get:
which can be solved for the final velocity which yields:
we can now substitute the data provided by the problem so we get:
which yields:
v=17.16m/s
b)
Since energy is conserved, this means that the total dissipated energy will be the same as the potential energy, so we get that:
E=mgh
so
which yields:
E=44,145J
c)
When the piano hits the ground, the kinetic energy it had will be transformed to other types of energy, mostly vibration and heat. The vibration will turn to sound due to the movement of air created by the piano itself and the ground. And heat is created by the friction between the molecules created by the vibrations and the collition itself. So some of the indicators of this release of energy could be:
-Sound
-Vibration
-Heat.
d)
i) The amount of inetic energy dissipated would decrease due to the friction between air and the parachute. Since air is resisting the movement of the piano, this will translate into a loss of energy, if we did an energy balance we would get that:
The total amount of energy is conserved but it will be distributed between the energy lost due to air resistance and the kinetic energy the piano has at the time it hits the ground.
ii) So the total amount of energy dissipated remains the same, the only difference is that it will be distributed between air resistance and the kinetic energy of the piano.
When plane is flying along the wind then we can say
Now when its going against the wind the speed is given by
Now by the above two equations we will have