When a current of 1.5 ampere is passed through acidulated water for two hours, then volume of hy

When a current of 1.5 ampere is passed through acidulated...

Key Concepts

Electrolysis

Electrolysis is the process by which electrical energy is used to bring about chemical changes, typically decomposing compounds into their constituent elements or simpler compounds. It forms the basis for understanding how electrical current can convert substances, such as water, into products like hydrogen and oxygen gases.

Faraday's Laws of Electrolysis

Faraday's Laws establish the quantitative relationship between the amount of electrical charge passed through an electrolyte and the amount of substance that is deposited or liberated at the electrodes. This principle is crucial in calculating how much material is transformed during electrolysis based on the current provided and the time for which it is applied.

Stoichiometry of Water Electrolysis

The stoichiometric relationships in water electrolysis govern how many moles of hydrogen and oxygen are produced from the decomposition of water. Specifically, the reduction of hydrogen ions (H?) requires electrons, with a fixed ratio of electrons to the hydrogen molecules produced. This stoichiometry is essential for linking the amount of charge passed to the resultant gas volumes.

Standard Conditions (NTP)

Normal Temperature and Pressure (NTP) define a set of conditions—typically 0°C and 1 atm—for which the molar volume of an ideal gas is standardized (commonly taken as 22.4 liters per mole). This concept is used to convert the moles of gas produced during electrolysis into a corresponding volume, facilitating comparisons and practical calculations.

Transcript

00:01 In this question, it has been given that we have a solution of acidulated water, right? so we can say we have this h plus ions in this solution and we are passing 1 .5 ampere worth of electricity and this is being flown for two hours, right? two hours.

00:18 Now we need to identify what would be the volume of hydrogen that is going to be produced at the normal temperature and pressure conditions which is called ntp.

00:27 Right.

00:27 So here, since we have h plus, we can say that when, electricity is provided to this solution this h plus can be neutralized by extracting appropriate moles of electrons right so h plus when it absorbs electrons it gets converted to hydrogen gas now to be able to balance this equation we have to put two before h plus and electron right so this is going to be the reaction that we are dealing with in this particular question and here we can say that one mole of hydrogen gas is being is being produced by two moles of electrons right and that is are you can say that two ferrida to ferradi equivalent of charge would be required to produce one mole of hydrogen right now here we can say that we have been given the amount of electricity and time in this question and hence we can just use the formula q equals to i t to find out the number of couloms right or we can say amount of coulom so it is going to be equal to 1 .5 ampere multiplied by 2 hours multiplied by 60 and multiplied by 60 we have multiplied this 2 with 60 and 60 consecutively because we want to convert ours into second units right and thus we can say that the resulting value would be equal to 10 ,800 kouloms so now we have already seen that two ferradi worth of charge is going to produce one mole of hydrogen gas right now we can say by by unitary method, one coulomb worth of charge would be able to produce 1 by 2 ferrade moles of hydrogen...

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