Respuesta :
2.0 to 4.0 the way to figure it out is right in the problem
Answer : The correct option is, 1.7 to 1.4
Explanation :
As we know that,
pH : It is defined as the negative logarithm of hydrogen ion or hydronium ion concentration.
The formula of pH is:
[tex]pH=-\log [H_3O^+][/tex]
Let the initial concentration of hydronium ion be, 'X'
The expression of pH at initial concentration will be,
[tex]pH=-\log [H_3O^+]=-\log (X)[/tex]
According to the question, the concentration of hydronium ions is increased to twice the original concentration. That means,
[tex][H_3O^+]=X[/tex]
[tex][H_3O^+]_{new}=2\times [H_3O^+][/tex]
[tex][H_3O^+]_{new}=2X[/tex]
The expression of new pH will be,
[tex]pH_{new}=-\log [H_3O^+]=-\log (2X)[/tex]
[tex]pH_{new}=-\log (2X)=-\log 2-\log (X)[/tex]
[tex]pH_{new}=-\log 2-pH[/tex]
And the value of [tex]\log 2=0.3[/tex]. Now put this value in above expression, we get
[tex]pH_{new}=-0.3-pH[/tex]
This means that the new pH will decrease by a value of 0.3 and from the given options, the difference in pH corresponds to 1.7 to 1.4.
Hence, the correct option is, 1.7 to 1.4
