Answer:
2.15
Explanation:
For this question, we have to remember the <u>pH formula</u>:
![pH~=~-Log[H_3O^+]](https://tex.z-dn.net/?f=pH~%3D~-Log%5BH_3O%5E%2B%5D)
By definition, the pH value is calculated when we do the -Log of the concentration of the <u>hydronium ions</u> (
). So, the next step is the calculation of the <u>concentration</u> of the hydronium ions. For this, we have to use the <u>molarity formula</u>:
![M=\frac{mol}{L}](https://tex.z-dn.net/?f=M%3D%5Cfrac%7Bmol%7D%7BL%7D)
We already know the number of moles (0.0231 moles) and the volume (3.33 L). So, we can plug the values into the molarity formula:
![M=\frac{0.0231~moles}{3.33~L}=0.00693~M](https://tex.z-dn.net/?f=M%3D%5Cfrac%7B0.0231~moles%7D%7B3.33~L%7D%3D0.00693~M)
With this value, now we can calculate the pH value:
![pH~=~-Log[0.00693~M]~=~2.15](https://tex.z-dn.net/?f=pH~%3D~-Log%5B0.00693~M%5D~%3D~2.15)
<u>The pH would be 2.15</u>
I hope it helps!
A Anything that has mass and takes up space
To Find :
The horizontal range of a projectile launched at 15 degrees to the horizontal with speed of 40 m/s.
Solution :
The horizontal range of a projectile is given by :
( Here, g is acceleration due to gravity = 10 m/s² )
Putting all value in above equation :
![R = \dfrac{40^2 \times sin (2 \times 15)}{10} \ m\\\\R = \dfrac{1600 \times 1}{2\times 10} \ m\\\\R = 80 \ m](https://tex.z-dn.net/?f=R%20%3D%20%5Cdfrac%7B40%5E2%20%5Ctimes%20sin%20%282%20%5Ctimes%2015%29%7D%7B10%7D%20%5C%20m%5C%5C%5C%5CR%20%3D%20%5Cdfrac%7B1600%20%5Ctimes%201%7D%7B2%5Ctimes%2010%7D%20%5C%20m%5C%5C%5C%5CR%20%3D%2080%20%5C%20m)
Therefore, the horizontal range of projectile is 80 m.
Answer:
(A) The shorter the wavelength, the more total energy the wave contains.
(B) The longer the wavelength, the less total energy the wave contains.
Explanation:
The wavelength (λ), frequency (f) and energy (E) are interrelated. This relationship between them is represented in the following equations:
λ = v/f and E = hf
Where;
λ = wavelength (m)
f = frequency (Hz)
E = energy (Joules)
v and h represents speed of light and Planck's constants respectively.
Combining both equations, E = hc/λ
This equation shows that ENERGY (E) is directly proportional to the frequency (f) but inversely proportional to the wavelength (λ). This means that "the shorter the wavelength, the more total energy a wave contains" and vice versa.
However, the higher the frequency, the more the total energy the wave contains and vice versa.