How many grams of methane and volume of oxygen at N.T.P. would be required to produce 445.15 kJ of heat in the following reaction?

$CH subscript 4 left parenthesis straight g right parenthesis space plus space 2 straight O subscript 2 left parenthesis straight g right parenthesis space space rightwards arrow space space space space CO subscript 2 left parenthesis straight g right parenthesis space plus space 2 straight H subscript 2 straight O left parenthesis straight l right parenthesis semicolon$
$increment straight H space equals space minus 890.3 space k J$

Solution

The thermochemical reaction is,
$stack CH subscript 4 left parenthesis straight g right parenthesis with stack 12 plus 4 with equals 16 space straight g below below space plus stack space 2 straight O subscript 2 left parenthesis straight g right parenthesis space with stack 2 space cross times space 22.4 with equals space 44.8 space space liltrr below below space space space rightwards arrow space space space space space stack CO subscript 2 left parenthesis straight g right parenthesis space plus space 2 straight H subscript 2 straight O space left parenthesis straight l right parenthesis with increment straight H space equals space minus 890.3 space kJ below$

Step I. Amount of methane required:
890.3 kJ of heat is produced from methane = 16 g
$therefore$ 445.15 kJ of heat is produced from methane
$equals space fraction numerator 16 over denominator 890.3 end fraction cross times 456.15 equals space 8 straight g$

Step II. Volume of oxygen required:
890.3 kJ heat is evolved from oxygen = 44.8 litres
$therefore$ 445.15 kJ of heat is evolved from oxygen
$equals space fraction numerator 44.8 over denominator 890.3 end fraction cross times 445.15 equals space 22.4 space litres.$

Some More Questions From Thermodynamics Chapter

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Thermodynamics

Some More Questions From Thermodynamics Chapter

What do you understand by the terms: the system and surroundings?

Classify the following into different types of systems:
(i) Tea placed in a cup
(ii) Tea placed in a tea-pot
(iii) Tea placed in a thermosflask.

Define a closed system.

Define an isolated system.

Define intensive properties.

Define extensive properties.

Why all living systems need to be 'open systems'?

Define state variables of a system.

From thermodynamic point of view, to which system the animals and plants belong?

What is a state function?

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NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Thermodynamics

How many grams of methane and volume of oxygen at N.T.P. would be required to produce 445.15 kJ of heat in the following reaction?

Some More Questions From Thermodynamics Chapter

What do you understand by the terms: the system and surroundings?

Classify the following into different types of systems:(i) Tea placed in a cup(ii) Tea placed in a tea-pot(iii) Tea placed in a thermosflask.

Define a closed system.

Define an isolated system.

Define intensive properties.

Define extensive properties.

Why all living systems need to be 'open systems'?

Define state variables of a system.

From thermodynamic point of view, to which system the animals and plants belong?

What is a state function?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Classify the following into different types of systems:
(i) Tea placed in a cup
(ii) Tea placed in a tea-pot
(iii) Tea placed in a thermosflask.