A 250 m3 balloon is filled with hydrogen at a temperature of 27 degrees and a pressure of 0.2 MPa.

| February 9, 2021 | education

A 250 m3 balloon is filled with hydrogen at a temperature of 27 degrees and a pressure of 0.2 MPa. what charge must be passed during electrolysis through a weak solution of sulfuric acid in order to obtain the required amount of hydrogen?

To find out the amount of charge passed through sulfuric acid, consider the equality: MH2 * P * V / (R * T) – ur-state. ideal gas = m (mass of hydrogen) = k * q – Faraday’s law of electrolysis, whence we express: q = MH2 * P * V / (k * R * T).

Const: MH2 – molar mass of hydrogen (Mn2 = 2 * 10 ^ -3 kg / mol); R – universal gas constant (R = 8.31 J / (mol * K)); k – electrochemical. equivalent of hydrogen (k = 1.044 * 10 ^ -8 kg / C).

Data: P – pressure in the balloon (P = 0.2 MPa = 2 * 10 ^ 5 Pa); V is the volume of the balloon (V = 250 m3); T – abs. hydrogen temperature (T = 27 ºС = 300.15 K).

Let’s do the calculation: q = MH2 * P * V / (k * R * T) = 2 * 10 ^ -3 * 2 * 10 ^ 5 * 250 / (1.044 * 10 ^ -8 * 8.31 * 300.15) ≈ 3.84 * 10 ^ 9 Cl.

Answer: It is required to pass a charge of 3.84 GK through sulfuric acid.



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