How much heat is absorbed during production of 112g of NO by the combination of nitrogen and oxygen? . N2(g)+O2(g)→2NO(g), ΔH = + 43 kcal/mol
Answer : The heat absorbed during the reaction is 160.4 kcal
Explanation :
First we have to calculate the number of moles of NO.
\(\text{Moles of }NO=\frac{\text{Mass of }NO}{\text{Molar mass of }NO}\)
Molar mass of NO = 30 g/mole
\(\text{Moles of }NO=\frac{112g}{30g/mole}=3.73mole\)
Now we have to calculate the heat absorbed during the reaction.
\(\Delta H=\frac{q}{n}\)
or,
\(q=\Delta H\times n\)
where,
\(\Delta H\) = enthalpy change = +43 kcal/mol
q = heat absorb = ?
n = number of moles of NO = 3.73 mol
Now put all the given values in the above formula, we get:
\(q=(+43 kcal/mol)\times (3.73mol)=+160.4kcal\)
Therefore, the heat absorbed during the reaction is 160.4 kcal
The heat absorbed throughout the production of 112g of NO by oxygen and nitrogen in combination:
80.195 kcal
Given equation,
\(N2(g)+O2(g)\) → \(2NO(g),\) Δ\(H = + 43 kcal/mol\)
This shows that 2 moles of NO are required for releasing 43 Kcal. So, total moles of NO can be determined as:
Moles of NO = Mass/Molarity
\(= 112 g/(30 g/mol)\)
\(= 3.73 mol\)
Therefore, the total amount of absorbed heat can be determined as:
⇒ \((43 kcal / 2 mol)\) × \(3.73 mol\)
∵ Heat absorbed = 80.195 kcal
Thus, 80.195 kcal is the correct answer.
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