A 10 -L container is filled with 0.10 mol of H2(g) and heated to 3000 K, causing some of the H2(

step 1 Hi guys, I'm here to answer question. Fantastic. We have 10 later. You're starting with volume o

A 10 -L container is filled with 0.10 mol of H2(g) and...

A 10 -L container is filled with 0.10 mol of $\mathrm{H}_{2}(g)$ and heated to $3000 \mathrm{K},$ causing some of the $\mathrm{H}_{2}(g)$ to decompose into $\mathrm{H}(g)$ . The pressure is found to be 3.0 atm. Find the partial pressure of the $\mathrm{H}(g)$ that forms from $\mathrm{H}_{2}$ at this temperature. (Assume two significant figures for the temperature.)

Key Concepts

Ideal Gas Law

The ideal gas law (PV = nRT) is a fundamental equation relating the pressure, volume, temperature, and number of moles of a gas. It is a key concept for connecting macroscopic properties of gases in many chemical processes, allowing one to calculate any one of these variables if the others are known.

Reaction Stoichiometry

Reaction stoichiometry involves using balanced chemical equations to relate the moles of reactants and products involved in a chemical reaction. In gas decomposition reactions, such as the dissociation of diatomic hydrogen into atomic hydrogen, stoichiometry defines the proportion in which bonds break and atoms form new products.

Partial Pressure Calculation

Partial pressure is the pressure exerted by an individual component in a gas mixture, calculated by accounting for its mole fraction and the total pressure of the mixture. This concept is crucial when analyzing multi-component gaseous systems, as it allows one to isolate and study the behavior of a single species within the overall pressure exerted by the gas mixture.

Transcript

00:04 Hi guys, i'm here to answer question.

00:08 Fantastic.

00:10 We have 10 later.

00:14 You're starting with volume of 10 later container is filled with 0 .10 more than of hydrogen.

00:32 That is the starting point, starting condition.

00:41 And then after some time, this, the gas, hydrogen gas is to a temperature of 3 ,000 caffeine and when it is heated to the temperature of 3 ,000 caffeine the pressure the total pressure at that point is zero point the total pressure is going to be the pressure is going to be 3 atmospheres mind you i want to write something assuming we have hydrogen gas and it's form 2 h gas.

01:38 Before it is eth we have 0 .1 mole of hydrogen gas we are not given the pressure at that time of the temperature but the moment it is eth we have hydrogen h2 and h because some of the h gas formed so what we do is like we have n it's unknown here and the n will be then we call it nt because in this case we be be mole of h2 gas and mold of h gas.

02:17 The both of them are present.

02:20 And both both of them causes the pressure of three atmosphere when the system is entered to 3 ,000 kylm.

02:31 So now to know the more if i can get the contribution of hydrogen, the gas, i mean the more of age gas from this end total, then i will be able to answer this question so what i will do now is to find empty and i will say nt is p v over r t we already have our p to be three atmosphere and v will be 10 litre because the volume of container is still the same you know if it's not a container that we so still the same divided by 0 .082 later atmosphere per caffeine per mode that is just constant applied by the temperature to which it is heated 3 ,000 caffeine and then my nt give me 0 .12195 you see this mode is different from the mode given before the mode given before is the mold of hydrogen gas 2 before we have this now we have this gas and this gas to the total mold is this so to get the mole of age are we i will write this age 2 gas give us 2 gas yes if i start with 0 .1 mode you know that's how we start with 0 .1 more at this point we don't have this one before we start but when x -mole of this one is converted to form 2x mole of this so at equilibrium we have 0 .1 minus x and we have 2x so i will go to the next i will say now the total model of gases will be more than h2 which is 0 .1 minus x plus more than h which is 2m...

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