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suter [353]
3 years ago
5

Calculate the pH of hydronium ions in a 0.000 01 M solution of the strong acid HI.

Physics
1 answer:
enyata [817]3 years ago
7 0
<h3>Answer:</h3>

pH = 5

<h3>Explanation:</h3>

<u>We are given;</u>

  • Concentration of a solution HI as 0.00001 M

We are required to calculate the pH of Hydronium ions.

  • When the acid dissociates in water to;

HI + H₂O → H₃O⁺(aq) + I⁻(aq)

  • Therefore;
  • The concentration of H₃O⁺ ions is 0.00001 M\
  • We need to know that pH = -log[H₃O⁺]

Therefore;

pH =-log 0.00001 M

     = 5

Thus, the pH of the hydronium ions is 5

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Considering the initial and final angular velocity of the turn table as  \omega _i\  ,\  \omega_f respectively.

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Angular momentum (L) = Product of moment of inertia  (I)  and angular velocity (\omega) .  

Lets say,

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Now we will find the ratio of the Kinetic energies.

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⇒ \frac{K_f}{K_i} =\frac{\frac{(I_t+I_r)\times \omega_f^2}{2} }{\frac{I_t\times \omega_i^2}{2} }    

⇒ \frac{K_f}{K_i} = {\frac{(I_t+I_r)\times \omega_f^2}{2} } \times {\frac{2}{I_t\times \omega_i^2}}

Plugging the values of  \omega _f^2 as \omega _f^2 =(\frac{I_t}{I_t+I_r} \times \omega_i\ )^2 from equation (i) in the ratios of the Kinetic energies.

⇒ \frac{K_f}{K_i} =\frac{(I_t+I_r)\times \frac{(I_t)^2}{(I_t+I_r)^2} \times \omega_i^2}{I_t\times \omega_i^2} =\frac{(I_t)^2}{(I_t+I_r)}\times \frac{1}{I_t}=\frac{I_t}{I_t+I_r}

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The Kinetic energy lost in fraction can be written as:

⇒ \frac{K_f-K_i}{K_i}

Now re-arranging the terms.

\frac{K_f-K_i}{K_i}  =(\frac{K_f}{K_i} -1)= \frac{I_t}{I_t+I_r} -1=\frac{I_t-I_t-I_r}{I_t+I_r} =\frac{-I_r}{(I_t+I_r)}

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⇒ \frac{K_f}{K_i} = =-0.3788\times 100= 37.88

So the percentage of the initial Kinetic energy lost is 37.88

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