Car manufacturers are developing engines that use H₂ as fuel. In Iceland, Sweden, and other parts of Scandinavia, where hydroelectric plants produce inexpensive electric power, the H₂ can be made industrially by the electrolysis of water.(a) How many coulombs are needed to produce 3.53X10⁶ L of H₂ gas at 12.0 atm and 258°C? (Assume that the ideal gas law applies.)

Respuesta :

Coulombs needed to produce 3.53 × 10⁶ L of H₂ gas at 12.0 atm and 258°C is 3.31 × 10¹¹ C.

(a) The reaction is

2H₂O + 2e⁻ → H₂ + 2OH⁻

According to the reaction, 2 moles of electrons flow per mole of reaction,

(b) Given

T = 25°C = (25 + 273 ) K

             = 298 K

F = 96500 C

We know that ,

PV =nRT

Hence ,

 n = [tex]\frac{PV}{RT}[/tex]

    = [tex]\frac{(12) (3.5 .10^{6}) }{(0.082057)(298)}[/tex]

  = 1.7176 ×10⁶ mole

Now,

From the given reaction we can say that ,1 mole of H₂  is produced by 2 moles of electron

Hence, 1.7176 ×10⁶ mole of H₂ is produced by

= 2× 1.7176×10⁶ moles of  electron

= 3.435 ×10⁶ moles of electron

We know that

charge = moles of electron × F

            = (3.435 ×10⁶ × 96500) C

            =  3.31 × 10¹¹ C

Thus from the above conclusion we can say that Coulombs needed to produce 3.53 × 10⁶ L of H₂ gas at 12.0 atm and 258°C is 3.31 × 10¹¹ C.

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Question : Car manufacturers are developing engines that use H₂ as fuel. In Iceland, Sweden, and other parts of Scandinavia countries, where hydroelectric plants produce inexpensive electric power, the H₂ can be made industrially by the electrolysis of water.

a) How many moles of electrons flow per mole of reaction ?

b) How many coulombs are needed to produce 3.53X10⁶ L of H₂ gas at 12.0 atm and 25°C.