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In the electrolysis of acidulated water,...

In the electrolysis of acidulated water, it is desired to obtain 1.12 cc of hydrogen per second under STP condition. The current to be passed is:

A

`1.93A`

B

`9.65`

C

`19.3A`

D

`0.965`

Text Solution

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To solve the problem of determining the current required to obtain 1.12 cc of hydrogen per second during the electrolysis of acidulated water, we can follow these steps: ### Step 1: Understand the volume of hydrogen produced At standard temperature and pressure (STP), 1 mole of any gas occupies 22.4 liters (or 22,400 cc). We need to find out how many moles of hydrogen correspond to 1.12 cc. \[ \text{Moles of } H_2 = \frac{1.12 \text{ cc}}{22400 \text{ cc/mol}} = \frac{1.12}{22400} \text{ mol} \] ### Step 2: Calculate the moles of hydrogen Calculating the moles gives us: \[ \text{Moles of } H_2 = \frac{1.12}{22400} = 5 \times 10^{-5} \text{ mol} \] ### Step 3: Determine the charge needed for the reaction From electrolysis, we know that 1 mole of \( H_2 \) requires 2 moles of electrons (since the reaction involves the reduction of \( 2H^+ + 2e^- \rightarrow H_2 \)). Therefore, the moles of electrons needed can be calculated as: \[ \text{Moles of electrons} = 2 \times \text{Moles of } H_2 = 2 \times 5 \times 10^{-5} = 1 \times 10^{-4} \text{ mol} \] ### Step 4: Calculate the total charge required Using Faraday's constant (approximately 96500 C/mol), we can find the total charge (Q) required: \[ Q = \text{Moles of electrons} \times \text{Faraday's constant} = 1 \times 10^{-4} \text{ mol} \times 96500 \text{ C/mol} \] \[ Q = 9.65 \text{ C} \] ### Step 5: Calculate the current Using the formula \( Q = I \times t \), where \( t = 1 \text{ second} \): \[ I = \frac{Q}{t} = \frac{9.65 \text{ C}}{1 \text{ s}} = 9.65 \text{ A} \] ### Final Answer Thus, the current that needs to be passed to obtain 1.12 cc of hydrogen per second under STP conditions is **9.65 A**. ---

To solve the problem of determining the current required to obtain 1.12 cc of hydrogen per second during the electrolysis of acidulated water, we can follow these steps: ### Step 1: Understand the volume of hydrogen produced At standard temperature and pressure (STP), 1 mole of any gas occupies 22.4 liters (or 22,400 cc). We need to find out how many moles of hydrogen correspond to 1.12 cc. \[ \text{Moles of } H_2 = \frac{1.12 \text{ cc}}{22400 \text{ cc/mol}} = \frac{1.12}{22400} \text{ mol} \] ...
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