Answer
Verified
422.1k+ views
Hint:The above given reaction is oxidation of sucrose which is a carbohydrate. We shall convert the energy given in Kcal to kJ. For this energy, we shall calculate the moles and thus the amounts of sucrose required in one day and use the reaction equation to find the volume of carbon dioxide evolved.
Complete step by step answer:
i.The above reaction is an exothermic reaction as $\Delta H$ is negative. This indicates that energy is released at the end of that reaction.
Kcal that is kilo calorie and kJ that is kilojoule are both the units of conversion of energy.
\[1{\text{ Kcal}} = 4.184{\text{ kJ}}\]
Human beings require 2500 Kcal of energy per day.
Therefore, human beings require $2500 \times 4.184$ = 10460 kJ of energy per day.
${C_{12}}{H_{22}}{O_{11}} + 12{O_2} \to 12C{O_2} + 11{H_2}O$
$\Delta H = - 5.6 \times {10^6}{\text{ J}}$ = \[ - 5600{\text{ kJ}}\]
Total molecular weight of sucrose = $12 \times 12 + 22 \times 1 + 11 \times 16$ = 342 g
342 g of sucrose gives 5600 kJ of energy.
X g of sucrose will give 10460 kJ of energy.
Therefore, X = $\dfrac{{10460 \times 342}}{{5600}}$ = 638 g
638 g of sucrose will give 10460 kJ of energy.
Hence, the mass of sucrose required to provide 10460 kJ of energy per day is 638 g.
ii.In the given reaction, the volume of carbon dioxide that is $C{O_2}$ evolved is $12 \times 22.4$ litre.
So, 342 g of sucrose gives $12 \times 22.4$ litre of carbon dioxide.
So, 638 g of sucrose will give = $\dfrac{{12 \times 22.4 \times 638}}{{342}}$ litre of carbon dioxide = 501 litre
Therefore, the volume of $C{O_2}$ evolved during the process is 501 litre.
Note:
In the given reaction, sucrose is oxidized and oxygen is reduced. It is a redox reaction. This reaction is initiated by ${H_2}S{O_4}$ which acts as a catalyst. $\Delta H$ is the amount of energy used or released in the reaction. If it is negative, then it is an exothermic reaction. If it is positive, then it is an endothermic reaction.
Complete step by step answer:
i.The above reaction is an exothermic reaction as $\Delta H$ is negative. This indicates that energy is released at the end of that reaction.
Kcal that is kilo calorie and kJ that is kilojoule are both the units of conversion of energy.
\[1{\text{ Kcal}} = 4.184{\text{ kJ}}\]
Human beings require 2500 Kcal of energy per day.
Therefore, human beings require $2500 \times 4.184$ = 10460 kJ of energy per day.
${C_{12}}{H_{22}}{O_{11}} + 12{O_2} \to 12C{O_2} + 11{H_2}O$
$\Delta H = - 5.6 \times {10^6}{\text{ J}}$ = \[ - 5600{\text{ kJ}}\]
Total molecular weight of sucrose = $12 \times 12 + 22 \times 1 + 11 \times 16$ = 342 g
342 g of sucrose gives 5600 kJ of energy.
X g of sucrose will give 10460 kJ of energy.
Therefore, X = $\dfrac{{10460 \times 342}}{{5600}}$ = 638 g
638 g of sucrose will give 10460 kJ of energy.
Hence, the mass of sucrose required to provide 10460 kJ of energy per day is 638 g.
ii.In the given reaction, the volume of carbon dioxide that is $C{O_2}$ evolved is $12 \times 22.4$ litre.
So, 342 g of sucrose gives $12 \times 22.4$ litre of carbon dioxide.
So, 638 g of sucrose will give = $\dfrac{{12 \times 22.4 \times 638}}{{342}}$ litre of carbon dioxide = 501 litre
Therefore, the volume of $C{O_2}$ evolved during the process is 501 litre.
Note:
In the given reaction, sucrose is oxidized and oxygen is reduced. It is a redox reaction. This reaction is initiated by ${H_2}S{O_4}$ which acts as a catalyst. $\Delta H$ is the amount of energy used or released in the reaction. If it is negative, then it is an exothermic reaction. If it is positive, then it is an endothermic reaction.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE