What is the \(\mathrm{pH}\) of aqueous solutions of the strong acid \(\mathrm{HNO}_{3},\) nitric acid, if the concentrations of the solutions are as follows: (a) \(0.005 \mathrm{M},(\mathrm{b}) 0.05 \mathrm{M},(\mathrm{c}) 0.5 \mathrm{M},(\mathrm{d}) 5 \mathrm{M} ?\)

Short Answer

Expert verified
The pH values for the HNO3 solutions of concentrations 0.005 M, 0.05 M, 0.5 M and 5.0 M respectively are approximately 2.3, 1.3, 0.3 and -0.7.

Step by step solution

01

Calculate pH for a 0.005M HNO3 solution

Using the formula for calculating pH, which is \(pH = -\log[H^+] \), replace the [H+] with the concentration of the HNO3 solution given. In this case, pH equals -log(0.005). Calculate the value using a calculator.
02

Calculate pH for a 0.05M HNO3 solution

Again use the formula \(pH = -\log[H^+] \), and replace the [H+] with the concentration of the HNO3 solution given, which is now 0.05. The calculation will now be pH = -log(0.05). Calculate the value using a calculator.
03

Calculate pH for a 0.5M HNO3 solution

With the same formula \(pH = -\log[H^+] \), replace the [H+] with the concentration of the HNO3 solution, which is now 0.5. The calculation will now be pH = -log(0.5). Calculate the value using a calculator.
04

Calculate pH for a 5M HNO3 solution

Lastly use the formula \(pH = -\log[H^+] \), and replace the [H+] with the concentration of the given HNO3 solution, which is 5 this time. So, pH = -log(5). Calculate the value using a calculator.

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