Respuesta :
Answer : The energy evolved when it burned was, [tex]-2.337\times 10^9KJ[/tex]
Solution :
First we have to calculate the moles of hydrogen gas by using ideal gas equation.
[tex]PV=nRT[/tex]
where,
P = pressure of gas = 1 atm
V = volume of gas = [tex]2\times 10^8L[/tex]
T = temperature of gas = [tex]25^oC=273+25=298K[/tex]
R = gas constant = 0.0821 Latm/moleK
n = number of moles of gas
Now put all the given values in the above formula, we get the moles of hydrogen gas.
[tex](1atm)\times (2\times 10^8L)=n\times (0.0821Latm/moleK)\times (298K)[/tex]
[tex]n=8.174\times 10^6moles[/tex]
Now we have to calculate the amount of energy evolved.
The combustion reaction of hydrogen will be,
[tex]H_2(g)+\frac{1}{2}O_2(g)\rightarrow H_2O(l)[/tex]
The enthalpy of combustion of hydrogen is -286 KJ/mole. (standard value)
As 1 mole of hydrogen gas burned it evolved energy = -286 KJ
So, [tex]8.174\times 10^6moles[/tex] of hydrogen gas burned it evolved energy = [tex](8.174\times 10^6)\times (-286)=-2.337\times 10^9KJ[/tex]
Therefore, the energy evolved when it burned was, [tex]-2.337\times 10^9KJ[/tex]
The study of chemicals and bonds is called chemistry. There are two types of elements and these are metals and nonmetals.
The correct answer to the question is [tex]-2.33*10^9[/tex].
What is ideal gas law?
- The ideal gas law, also called the general gas equation, is the equation of the state of a hypothetical ideal gas.
- It is a good approximation of the behavior of many gases under many conditions, although it has several limitations.
According to the question, the ideal gas law will be:-
[tex]pV =nRT[/tex] where,
- P = pressure of gas = 1 atm
- V = volume of gas = [tex]2*10^8[/tex]
- T = temperature of gas = [tex]273+25=298K[/tex]
- R = gas constant = 0.0821 Latm/mole
- n = number of moles of gas
Placed all the values to the question.
[tex]1*2*10^8=n*(0.0821)*298[/tex]
[tex]n=8.174*10^6[/tex]
The enthalpy of combustion of hydrogen is -286 KJ/mole. (standard value) As 1 mole of hydrogen gas burned it evolved energy = -286 KJ
Hence, [tex]8.174*10^6*(-286) =-2.337*10^9[/tex] is the answer
For more information about the ideal gas law, refer to the link:-
https://brainly.com/question/1388366
