the approximate molar concentration of several chemicals are given. find the ph of each. use the calculator…

the approximate molar concentration of several chemicals are given. find the ph of each. use the calculator and round to the nearest tenth, if necessary.\noven cleaner: h⁺ = 10⁻¹³ ph = \nwater: h⁺ = 0.0000007 ph = \nblood: h⁺ = 0.00000004 ph = \nvinegar: h⁺ = 0.0063 ph =
Answer
Explanation:
Step1: Recall pH formula
The formula for pH is $pH = -\log[H^{+}]$.
Step2: Calculate pH of oven - cleaner
For oven - cleaner with $[H^{+}]=10^{-13}$, $pH = -\log(10^{-13})$. Since $-\log(10^{-13})=-(- 13)=13$.
Step3: Calculate pH of water
For water with $[H^{+}]=0.0000007 = 7\times10^{-7}$, $pH=-\log(7\times10^{-7})$. Using the logarithm property $\log(ab)=\log a+\log b$, we have $pH=-(\log7+\log(10^{-7}))$. $\log(10^{-7})=-7$ and $\log7\approx0.845$, so $pH=- (0.845 - 7)=6.155\approx6.2$.
Step4: Calculate pH of blood
For blood with $[H^{+}]=0.00000004 = 4\times10^{-8}$, $pH = -\log(4\times10^{-8})=-(\log4+\log(10^{-8}))$. $\log(10^{-8})=-8$ and $\log4\approx0.602$, so $pH=- (0.602 - 8)=7.398\approx7.4$.
Step5: Calculate pH of vinegar
For vinegar with $[H^{+}]=0.0063 = 6.3\times10^{-3}$, $pH=-\log(6.3\times10^{-3})=-(\log6.3+\log(10^{-3}))$. $\log(10^{-3})=-3$ and $\log6.3\approx0.800$, so $pH=- (0.800 - 3)=2.2$.
Answer:
Oven cleaner: 13 Water: 6.2 Blood: 7.4 Vinegar: 2.2