Chemistry The pH of a chemical solution is given by the formula p H = − log 10 [ H + ] Where [ H + ] is the concentration of hydrogen ions in moles per liter. Values of p H range from 0 (acidic) to 14 (alkaline). What is the p H of a solution for which [ H + ] is 0.1 ? What is the p H of a solution for which [ H + ] is 0.01 ? What is the p H of a solution for which is [ H + ] is 0.001 ? What happens to p H as the hydrogen ion concentration decreases? Determine the hydrogen ion concentration of an orange ( p H = 3.5 ) , Determine the hydrogen ion concentration of human blood ( p H = 7.4 ) .
Chemistry The pH of a chemical solution is given by the formula p H = − log 10 [ H + ] Where [ H + ] is the concentration of hydrogen ions in moles per liter. Values of p H range from 0 (acidic) to 14 (alkaline). What is the p H of a solution for which [ H + ] is 0.1 ? What is the p H of a solution for which [ H + ] is 0.01 ? What is the p H of a solution for which is [ H + ] is 0.001 ? What happens to p H as the hydrogen ion concentration decreases? Determine the hydrogen ion concentration of an orange ( p H = 3.5 ) , Determine the hydrogen ion concentration of human blood ( p H = 7.4 ) .
Solution Summary: The author calculates the pH of a solution for which left[H+right] is 1.
Chemistry The pH of a chemical solution is given by the formula
p
H
=
−
log
10
[
H
+
]
Where
[
H
+
]
is the concentration of hydrogen ions in moles per liter. Values of
p
H
range from
0
(acidic) to
14
(alkaline).
What is the
p
H
of a solution for which
[
H
+
]
is
0.1
?
What is the
p
H
of a solution for which
[
H
+
]
is
0.01
?
What is the
p
H
of a solution for which is
[
H
+
]
is
0.001
?
What happens to
p
H
as the hydrogen ion concentration decreases?
Determine the hydrogen ion concentration of an orange
(
p
H
=
3.5
)
,
Determine the hydrogen ion concentration of human blood
(
p
H
=
7.4
)
.
(a)
Expert Solution
To determine
To calculate: The pH of a solution for which [H+] is 0.1, where the pH of a chemical solution is given by the formula pH=−log10[H+], such that [H+] is the concentration of hydrogen ions in moles per liter and the values of pH range from 0(acidic) to 14(alkaline).
Answer to Problem 117AYU
Solution:
The pH of a solution for which [H+] is 0.1, is 1.
Explanation of Solution
Given information:
The concentration of hydrogen ions [H+] in moles per litre is 0.1
Formula used:
1) pH=−log10[H+], where [H+] is the concentration of hydrogen ions in moles per litre.
2) Rules of logarithm:
logc(ba)=alogcb
logaa=1
Calculation:
By using the formula for pH,
pH=−log10[H+]
Here, [H+]=0.1
⇒pH=−log10[0.1]
By rewriting,
pH=−log10[110]=−log10[10−1]
By using the rule of logarithm,
⇒pH=−(−log10(10))
By using the rule of logarithm,
⇒pH=−(−1)=1
Therefore, the pH of a solution for which [H+] is 0.1, is 1.
(b)
Expert Solution
To determine
To calculate: The pH of a solution for which [H+] is 0.01, where the pH of a chemical solution is given by the formula pH=−log10[H+], such that [H+] is the concentration of hydrogen ions in moles per litre and the values of pH range from 0(acidic) to 14(alkaline).
Answer to Problem 117AYU
Solution:
The pH of a solution for which [H+] is 0.01, is 2.
Explanation of Solution
Given information:
The concentration of hydrogen ions [H+] in moles per litre is 0.01.
Formula used:
1) pH=−log10[H+], where [H+] is the concentration of hydrogen ions in moles per litre
2) Rules of logarithm:
logc(ba)=alogcb
logaa=1
Calculation:
By using the formula for pH,
pH=−log10[H+]
Here, [H+]=0.01
⇒pH=−log10[0.01]
By rewriting,
pH=−log10[1100]=−log10[10−2]
By using the rule of logarithm,
⇒pH=−(−2log10(10))
By using the rule of logarithm,
⇒pH=−(−2)=2
Therefore, the pH of a solution for which [H+] is 0.01, is 2.
(c)
Expert Solution
To determine
To calculate: The pH of a solution for which [H+] is 0.001, where the pH of a chemical solution is given by the formula pH=−log10[H+], such that [H+] is the concentration of hydrogen ions in moles per litre and the values of pH range from 0(acidic) to 14(alkaline).
Answer to Problem 117AYU
Solution:
The pH of a solution for which [H+] is 0.001 is 3.
Explanation of Solution
Given information:
The concentration of hydrogen ions [H+] in moles per litre is 0.001.
Formula used:
1) pH=−log10[H+], where [H+] is the concentration of hydrogen ions in moles per litre
2) Rules of logarithm:
logc(ba)=alogcb
logaa=1
Calculation:
By using the formula for pH,
pH=−log10[H+]
Here, [H+]=0.001
⇒pH=−log10[0.001]
By rewriting,
pH=−log10[11000]=−log10[10−3]
By using the rule of logarithm,
pH=−(−3log10(10))
By using the rule of logarithm,
pH=−(−3)=3
Therefore, the pH of a solution for which [H+] is 0.001, is 3.
(d)
Expert Solution
To determine
The change in pH as the hydrogen ion concentration decreases, where the pH of a chemical solution is given by the formula pH=−log10[H+], such that [H+] is the concentration of hydrogen ions in moles per litre and the values of pH range from 0(acidic) to 14(alkaline).
Answer to Problem 117AYU
Solution:
The pH of the solution increases as the hydrogen ion concentration decreases.
Explanation of Solution
Given information:
Values of pH range from 0(acidic) to 14(alkaline).
Explanation:
From part (a), (b) and (c),
The pH of a solution for which [H+] is 0.1, is 1.
The pH of a solution for which [H+] is 0.01, is 2.
The pH of a solution for which [H+] is 0.001, is 3.
Hence, as the [H+] decreases the pH of the solution increases.
That is, pH changes from acidic to alkaline.
Therefore, the pH of the solution increases as the hydrogen ion concentration decreases.
(e)
Expert Solution
To determine
To calculate: The hydrogen ion concentration of an orange, if the pH is 3.5, where the pH of a chemical solution is given by the formula pH=−log10[H+], such that [H+] is the concentration of hydrogen ions in moles per litre and the values of pH range from 0(acidic) to 14(alkaline).
Answer to Problem 117AYU
Solution:
The hydrogen ion concentration of an orange solution is 1103.5 moles per litre.
Explanation of Solution
Given information:
The pH of orange is 3.5.
Formula used:
1) pH=−log10[H+], where [H+] is the concentration of hydrogen ions in moles per litre.
2) Rule of logarithm:
logab=c⇒b=ac
Calculation:
By using the formula for pH,
pH=−log10[H+]
Here, pH is 3.5,
⇒3.5=−log10[H+]
⇒log10[H+]=−3.5
By using the rule of logarithm,
⇒[H+]=10−3.5
⇒[H+]=1103.5
Therefore, the hydrogen ion concentration of an orange solution is 1103.5 moles per litre.
(f)
Expert Solution
To determine
To calculate: The hydrogen ion concentration of human blood if the pH is 7.4, where the pH of a chemical solution is given by the formula pH=−log10[H+], such that [H+] is the concentration of hydrogen ions in moles per litre and the values of pH range from 0(acidic) to 14(alkaline).
Answer to Problem 117AYU
Solution:
The hydrogen ion concentration of human blood is 1107.4 moles per litre
Explanation of Solution
Given information:
The pH of human body is 7.4
Formula used:
1) pH=−log10[H+], where [H+] is the concentration of hydrogen ions in moles per litre.
2) Rule of logarithm:
logab=c⇒b=ac
Calculation:
By using the formula for pH,
pH=−log10[H+]
Here, pH is 7.4
⇒7.4=−log10[H+]
⇒log10[H+]=−7.4
By using the rule of logarithm,
⇒[H+]=10−7.4
That is, [H+]=1107.4
Therefore, the hydrogen ion concentration of human blood is 1107.4 moles per litre.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY