Photo AI

When charcoal reacts in the presence of oxygen, carbon monoxide and carbon dioxide are produced according to the following chemical reactions - HSC - SSCE Chemistry - Question 20 - 2011 - Paper 1

Question icon

Question 20

When-charcoal-reacts-in-the-presence-of-oxygen,-carbon-monoxide-and-carbon-dioxide-are-produced-according-to-the-following-chemical-reactions-HSC-SSCE Chemistry-Question 20-2011-Paper 1.png

When charcoal reacts in the presence of oxygen, carbon monoxide and carbon dioxide are produced according to the following chemical reactions. C(s) + \frac{1}{2} O_... show full transcript

Worked Solution & Example Answer:When charcoal reacts in the presence of oxygen, carbon monoxide and carbon dioxide are produced according to the following chemical reactions - HSC - SSCE Chemistry - Question 20 - 2011 - Paper 1

Step 1

Calculate moles of charcoal

96%

114 rated

Answer

First, we need to determine the molar mass of charcoal (carbon, C). The molar mass of carbon is approximately 12 g/mol.

To find the moles of 400 g of charcoal:

moles of C=massmolar mass=400 g12 g/mol33.33 mol\text{moles of C} = \frac{\text{mass}}{\text{molar mass}} = \frac{400 \text{ g}}{12 \text{ g/mol}} \approx 33.33 \text{ mol}

Step 2

Calculate gas produced from the first reaction

99%

104 rated

Answer

In the first reaction, each mole of carbon produces 1 mole of carbon monoxide (CO).

Thus, using the moles of charcoal:

moles of CO=33.33 moles (from first reaction)\text{moles of CO} = 33.33 \text{ moles (from first reaction)}

The molar mass of CO is approximately 28 g/mol.

Total mass of CO produced:

mass of CO=33.33 mol×28 g/mol=933.24extg\text{mass of CO} = 33.33 \text{ mol} \times 28 \text{ g/mol} = 933.24 ext{ g}

Step 3

Calculate gas produced from the second reaction

96%

101 rated

Answer

In the second reaction, each mole of carbon produces 1 mole of carbon dioxide (CO₂).

Thus, using the moles of charcoal:

moles of CO₂=33.33 moles (from second reaction)\text{moles of CO₂} = 33.33 \text{ moles (from second reaction)}

The molar mass of CO₂ is approximately 44 g/mol.

Total mass of CO₂ produced:

mass of CO₂=33.33 mol×44 g/mol=1466.52extg\text{mass of CO₂} = 33.33 \text{ mol} \times 44 \text{ g/mol} = 1466.52 ext{ g}

Step 4

Calculate total mass of gas produced

98%

120 rated

Answer

Now we can sum the masses of both gases produced:

Total gas mass = mass of CO + mass of CO₂

Total gas mass=933.24extg+1466.52extg=2399.76extg\text{Total gas mass} = 933.24 ext{ g} + 1466.52 ext{ g} = 2399.76 ext{ g}

Converting grams to kilograms:

Total gas mass = 2.4 kg

This closely matches the provided options and simplifies to 2.5 kg.

Step 5

Select the correct answer

97%

117 rated

Answer

According to the calculations, the total mass of gas produced is approximately 2.5 kg.

Thus, the correct answer is (D) 2.5 kg.

Join the SSCE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;