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Question: The heat of combustion of gaseous ammonia is \( 81kcal/mol \) . How much heat will be evolved in the...

The heat of combustion of gaseous ammonia is 81kcal/mol81kcal/mol . How much heat will be evolved in the reaction of 34grams34grams of ammonia with an excess amount of oxygen?
A. 40.5kcal40.5kcal
B. 60.3kg60.3kg
C. 75.8kcal75.8kcal
D. 81kcal81kcal
E. 162kcal162kcal

Explanation

Solution

The quantity of heat liberated when a certain amount of a substance undergoes combustion, also known as the calorific value or the energy value, can be defined as the heat of combustion. Higher calorific value, also known as gross calorific value, and higher heating value are the two forms of heat produced by burning. Lower calorific value (sometimes referred to as net calorific value or heating value).

Complete answer:
Heat of combustion =81kcal/mol= 81kcal/mol
Molar Mass of Ammonia =17g/mol= 17g/mol
Number of moles = MassMolar massNumber{\text{ of moles = }}\dfrac{{Mass}}{{Molar{\text{ }}mass}}
Using the above formula,
34grams34grams of ammonia corresponds to 34g17g/mol=2moles\dfrac{{34g}}{{17g/mol}} = 2moles
During the reaction of 34grams34grams ( 2moles2moles ) of ammonia with an excess amount of oxygen, heat evolved will be 2mol×81kcal/mol=162kcal2mol \times 81kcal/mol = 162kcal .
Hence, the correct option is E. 162kcal162kcal .

Note:
It should be noted that a substance's heat of combustion can be expressed in the following units: When one mole of fuel is completely burned with oxygen, energy (in joules or kilojoules) is released. When one gram or kilogram of fuel is completely burned with oxygen, energy (in joules or kilojoules) is released. When one litre of fuel is completely burned with oxygen, energy (in joules or kilojoules) is released.