To solve this problem, it will be necessary to apply the concepts related to the fundamental resonance frequency in a closed organ pipe.
This is mathematically given as
![f_n (2n+1)(\frac{v}{4L})](https://tex.z-dn.net/?f=f_n%20%282n%2B1%29%28%5Cfrac%7Bv%7D%7B4L%7D%29)
For fundamental frequency n is 0, then,
![f_0 = \frac{v}{4L}](https://tex.z-dn.net/?f=f_0%20%3D%20%5Cfrac%7Bv%7D%7B4L%7D)
When,
v = Velocity of sound
L = Length,
Rearranging to find the velocity,
![v = f_0 (4L)](https://tex.z-dn.net/?f=v%20%3D%20f_0%20%284L%29)
![v = (80Hz)(4)(1.3m)](https://tex.z-dn.net/?f=v%20%3D%20%2880Hz%29%284%29%281.3m%29)
![v = 416m/s](https://tex.z-dn.net/?f=v%20%3D%20416m%2Fs)
Therefore the speed of sound in this gas is 416m/s
The correct answer is
A. The mechanical energy transforms to thermal energy as the pendulum slows and eventually stops moving.
In fact, we must keep in mind the presence of the air, which causes some resistance to the motion of the pendulum. As the pendulum moves through the air, part of its mechanical energy is transferred to the molecules of air because of the friction of this molecules with the surface of the pendulum. As a result, the pendulum slows down, and eventually stops. The initial energy of the pendulum has been converted into thermal energy of the molecules of air, which move faster now.
Answer:
The balanced equations are as follows:
✅ FeCl₃ + 3NH₄OH ➡ Fe(OH)₃ + 3NH₄Cl
✅ CH₄ + O₂ ➡ CO₂ + 2H₂O
✅ 2Fe + 3H₂SO₂ ➡ Fe₂(SO₂)₃ + 3H₂
✅ PCl₅ + 4H₂O ➡ 5HCl + H₃PO₄
Explanation:
In the equation, FeCl₃ + 3NH₄OH ➡ Fe(OH)₃ + 3NH₄Cl, Charlie will adjust the number of atoms in NH₄OH in order for NH₄, Cl and OH to balance in the product side. 3 was placed in front of NH₄OH and NH₄Cl in order the balance it.
In the equation, CH₄ + O₂ ➡ CO₂ + 2H₂O, Charlie will adjust the number of atoms in H₂O. 2 was placed in front of H₂O in order to balance the atoms in the reactant and product sides.
In the equation, 2Fe + 3H₂SO₂ ➡ Fe₂(SO₂)₃ + 3H₂, Charlie will adjust the number of atoms in the reactant side in order for the product side to be balanced.
In the equation, PCl₅ + 4H₂O ➡ 5HCl + H₃PO₄, Charlie will adjust the number of atoms in H₂O and HCl for the equation to be balanced. 4 and 5 were placed in front of H₂O and HCl respectively in order for the equation to be balanced.
In chemical equations, it is required that the number of atoms of each element found in the reactants must be equal to the number of atoms of each element found in the products. This makes the chemical equation balanced.