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Question: Is it possible for acids to have a pH above 7? If so, under what circumstances would that be?...

Is it possible for acids to have a pH above 7? If so, under what circumstances would that be?

Explanation

Solution

The pH scale is used to determine the strength of the acidic or alkaline solutions. Acidic solutions mostly have a lower pH than the basic or alkaline solutions. More the amount of [H]+{[H]^ + } ion the lower the value on the pH scale.

Complete answer:
The acidity of a solution depends on the concentration of the [H]+{[H]^ + } ion. The pH is the most convenient method to measure this as it has a wide range of numbers involved.
The formula for finding the pH is: pH=log[H+]pH = - \log [{H^ + }]
It can also be written as: [H+]=10pH[{H^ + }] = {10^{ - pH}}
It is typically said that the pH scale ranges from 0 to 14. A solution with the pH of 7 is said to be neutral. If the pH is less than 7 it is acidic and if it is more than 7 then it is basic/alkaline. This condition is satisfied at standard laboratory conditions. In other conditions it works differently. Let us first understand the ionisation of water:
H2O(l)H(aq)++OH(aq){H_2}{O_{(l)}} \rightleftharpoons H_{(aq)}^ + + OH_{(aq)}^ -
The equilibrium constant for water Kw{K_w} can be given as: Kw=[H(aq)+][OH(aq)]=1.00×1014mol2l2{K_w} = [H_{(aq)}^ + ][OH_{(aq)}^ - ] = 1.00 \times {10^{ - 14}}mo{l^2}{l^{ - 2}}at standard temperature of 25C{25^ \circ }C. Note that in pure water the concentration of [H]+{[H]^ + } is same as that of [OH][O{H^ - }] . Now, the value of Kw{K_w} will become; Kw=[H(aq)+]2=1.00×1014{K_w} = {[H_{(aq)}^ + ]^2} = 1.00 \times {10^{ - 14}}
[H(aq)+]=1.00×1014=1.00×107mol/L[H_{(aq)}^ + ] = \sqrt {1.00 \times {{10}^{ - 14}}} = 1.00 \times {10^{ - 7}}mol/L
Substituting in the pH formula we get the pH as; pH=log(1.00×107)=7pH = - \log (1.00 \times {10^{ - 7}}) = 7
This gives us the neutral pH at standard temperature. Here’s where the problem starts, the neutral point is at 25C{25^ \circ }C . We know that equilibrium constant is temperature dependant. To prove this let us consider the endothermic process of auto-ionisation of water.
H2O(l)H(aq)++OH(aq){H_2}{O_{(l)}} \rightleftharpoons H_{(aq)}^ + + OH_{(aq)}^ -
If we raise the temperature, according to the Le Chatelier’s principle the equilibrium would shift towards the right. This would increase the dissociation hence increasing the value of Kw{K_w} . Experimentally the value of Kw{K_w} at a higher temperature of 40C{40^ \circ }C would be Kw=2.916×1014mol2L2{K_w} = 2.916 \times {10^{ - 14}}mo{l^2}{L^{ - 2}}
Therefore, Kw=[H(aq)+]2=2.916×1014{K_w} = {[H_{(aq)}^ + ]^2} = 2.916 \times {10^{ - 14}}
[H(aq)+]=2.916×1014=1.707×107mol/L[H_{(aq)}^ + ] = \sqrt {2.916 \times {{10}^{ - 14}}} = 1.707 \times {10^{ - 7}}mol/L
pH=log(1.707×107)=6.77pH = - \log (1.707 \times {10^{ - 7}}) = 6.77
Thus the point of neutrality has been dropped from 7 to 6.77. The pH falls as the temperature rises, this doesn’t mean that water has become more acidic. All throughout the water was neutral itself. The condition for neutrality should be [H(aq)+]=[OH(aq)][H_{(aq)}^ + ] = [OH_{(aq)}^ - ]
Similarly, for acidity the condition should be [H(aq)+]>[OH(aq)][H_{(aq)}^ + ] > [OH_{(aq)}^ - ] and for alkalinity [H(aq)+]>[OH(aq)][H_{(aq)}^ + ] > [OH_{(aq)}^ - ]
Concluding that, any acidic solution can have a pH greater than 7 and still be acidic, similarly any alkaline solution can have pH less than 7 and still be basic.

Note:
The standard pH is very helpful in determining the pH at room temperature. The 0 to 14 scale is still applicable but only at room temperature. Remember that Strong acids react with weak bases from acidic salts as they have high [H]+{[H]^ + } concentration. Similarly for strong bases and weak acids.