Calculate the current that must be passed into a solution of aluminum salt for 2hrs in order to deposit 2.5g of aluminum? An example of insoluble chloride im water is: SO_2 can be used as: If the mass number of X is 24 and X²+ contains 10 electrons, the nucleus will consist of

Question

Calculate the current that must be passed into a solution of aluminum salt for 2hrs in order to deposit 2.5g of aluminum? An example of insoluble chloride im water is: SO_2 can be used as: If the mass number of X is 24 and X²+ contains 10 electrons, the nucleus will consist of

Asked on March 29, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

Accepted Answer · 2026-03-29T07:40:21.201Z

Here are the solutions to your questions: 1. Calculate the current that must be passed into a solution of aluminum salt for 2hrs in order to deposit 2.5g of aluminum? Step 1: Identify the given values and constants. • Mass of aluminum ($m$) = $2.5 \, \text{g}$ • Time ($t$) = $2 \, \text{hrs}$ • Molar mass of aluminum ($M$) = $26.98 \, \text{g/mol}$ (approximately $27 \, \text{g/mol}$) • Charge of aluminum ion ($z$) = $3$ (since aluminum forms $\text{Al}^{3+}$) • Faraday's constant ($F$) = $96485 \, \text{C/mol}$ Step 2: Convert time from hours to seconds. $$t = 2 \, \text{hrs} \times \frac{60 \, \text{min}}{1 \, \text{hr}} \times \frac{60 \, \text{s}}{1 \, \text{min}} = 7200 \, \text{s}$$ Step 3: Use Faraday's first law of electrolysis to calculate the current ($I$). The formula is $m = \frac{ItM}{zF}$. Rearrange to solve for $I$: $$I = \frac{mzF}{Mt}$$ Substitute the values: $$I = \frac{(2.5 \, \text{g}) \times 3 \times (96485 \, \text{C/mol})}{(26.98 \, \text{g/mol}) \times (7200 \, \text{s})}$$ $$I = \frac{723637.5 \, \text{C}}{194256 \, \text{s}}$$ $$I \approx 3.725 \, \text{A}$$ The current required is $\boxed{\text{3.73 A}}$. 2. An example of insoluble chloride in water is: An example of an insoluble chloride in water is silver chloride ($\text{AgCl}$). Other examples include lead(II) chloride ($\text{PbCl}_2$) and mercury(I) chloride ($\text{Hg}_2\text{Cl}_2$). 3. SO₂ can be used as: $\text{SO}_2$ (sulfur dioxide) can be used as a preservative (e.g., in wines and dried fruits) and as a bleaching agent (e.g., for wool and silk). 4. If the mass number of X is 24 and X²⁺ contains 10 electrons, the nucleus will consist of: Step 1: Determine the number of protons. • The ion $\text{X}^{2+}$ has 10 electrons. • Since it has a $+2$ charge, it has lost 2 electrons. • Therefore, the neutral atom X must have had $10 + 2 = 12$ electrons. • In a neutral atom, the number of electrons equals the number of protons. So, the number of protons in X is 12. Step 2: Determine the number of neutrons. • The mass number (A) is given as 24. • The mass number is the sum of protons (Z) and neutrons (N): $A = Z + N$. • We found the number of protons (Z) to be 12. $$24 = 12 + N$$ $$N = 24 - 12$$ $$N = 12$$ The nucleus of X will consist of $\boxed{\text{12 protons and 12 neutrons}}$.

Accepted Answer · 2026-03-29T07:40:21.201Z

Here are the solutions to your questions: 1. Calculate the current that must be passed into a solution of aluminum salt for 2hrs in order to deposit 2.5g of aluminum? Step 1: Identify the given values and constants. • Mass of aluminum ($m$) = $2.5 \, \text{g}$ • Time ($t$) = $2 \, \text{hrs}$ • Molar mass of aluminum ($M$) = $26.98 \, \text{g/mol}$ (approximately $27 \, \text{g/mol}$) • Charge of aluminum ion ($z$) = $3$ (since aluminum forms $\text{Al}^{3+}$) • Faraday's constant ($F$) = $96485 \, \text{C/mol}$ Step 2: Convert time from hours to seconds. $$t = 2 \, \text{hrs} \times \frac{60 \, \text{min}}{1 \, \text{hr}} \times \frac{60 \, \text{s}}{1 \, \text{min}} = 7200 \, \text{s}$$ Step 3: Use Faraday's first law of electrolysis to calculate the current ($I$). The formula is $m = \frac{ItM}{zF}$. Rearrange to solve for $I$: $$I = \frac{mzF}{Mt}$$ Substitute the values: $$I = \frac{(2.5 \, \text{g}) \times 3 \times (96485 \, \text{C/mol})}{(26.98 \, \text{g/mol}) \times (7200 \, \text{s})}$$ $$I = \frac{723637.5 \, \text{C}}{194256 \, \text{s}}$$ $$I \approx 3.725 \, \text{A}$$ The current required is $\boxed{\text{3.73 A}}$. 2. An example of insoluble chloride in water is: An example of an insoluble chloride in water is silver chloride ($\text{AgCl}$). Other examples include lead(II) chloride ($\text{PbCl}_2$) and mercury(I) chloride ($\text{Hg}_2\text{Cl}_2$). 3. SO₂ can be used as: $\text{SO}_2$ (sulfur dioxide) can be used as a preservative (e.g., in wines and dried fruits) and as a bleaching agent (e.g., for wool and silk). 4. If the mass number of X is 24 and X²⁺ contains 10 electrons, the nucleus will consist of: Step 1: Determine the number of protons. • The ion $\text{X}^{2+}$ has 10 electrons. • Since it has a $+2$ charge, it has lost 2 electrons. • Therefore, the neutral atom X must have had $10 + 2 = 12$ electrons. • In a neutral atom, the number of electrons equals the number of protons. So, the number of protons in X is 12. Step 2: Determine the number of neutrons. • The mass number (A) is given as 24. • The mass number is the sum of protons (Z) and neutrons (N): $A = Z + N$. • We found the number of protons (Z) to be 12. $$24 = 12 + N$$ $$N = 24 - 12$$ $$N = 12$$ The nucleus of X will consist of $\boxed{\text{12 protons and 12 neutrons}}$.