Thank you for visiting If 45 8 grams of potassium chlorate decomposes how many grams of oxygen gas can be produced 2 text KClO 3 rightarrow 2 text KCl. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Sure! Let's work through this problem step-by-step.
The decomposition reaction of potassium chlorate ([tex]\(KClO_3\)[/tex]) is given by the equation:
[tex]\[ 2 KClO_3 \rightarrow 2 KCl + 3 O_2 \][/tex]
This equation shows that 2 moles of [tex]\(KClO_3\)[/tex] decompose to produce 3 moles of [tex]\(O_2\)[/tex].
We are given 45.8 grams of potassium chlorate and need to find out how many grams of oxygen gas ([tex]\(O_2\)[/tex]) can be produced.
1. Calculate the molar mass of potassium chlorate ([tex]\(KClO_3\)[/tex]):
- Potassium (K): 39.10 g/mol
- Chlorine (Cl): 35.45 g/mol
- Oxygen (O): 16.00 g/mol
So, the molar mass of [tex]\(KClO_3\)[/tex] is:
[tex]\[ 39.10 + 35.45 + 3 \times 16.00 = 122.55 \text{ g/mol} \][/tex]
2. Calculate the number of moles of [tex]\(KClO_3\)[/tex] in 45.8 grams:
[tex]\[ \text{Moles of } KClO_3 = \frac{\text{mass}}{\text{molar mass}} = \frac{45.8 \text{ g}}{122.55 \text{ g/mol}} \approx 0.3737 \text{ moles} \][/tex]
3. Determine the moles of [tex]\(O_2\)[/tex] produced:
According to the balanced chemical equation, 2 moles of [tex]\(KClO_3\)[/tex] produce 3 moles of [tex]\(O_2\)[/tex]. Therefore, the moles of [tex]\(O_2\)[/tex] produced by 0.3737 moles of [tex]\(KClO_3\)[/tex] can be calculated as:
[tex]\[ \text{Moles of } O_2 = \left( \frac{3}{2} \right) \times 0.3737 \approx 0.5606 \text{ moles} \][/tex]
4. Calculate the mass of [tex]\(O_2\)[/tex] produced:
The molar mass of [tex]\(O_2\)[/tex] is [tex]\(32.00 \text{ g/mol}\)[/tex].
Therefore, the mass of [tex]\(O_2\)[/tex] produced is:
[tex]\[ \text{Mass of } O_2 = \text{moles} \times \text{molar mass} = 0.5606 \text{ moles} \times 32.00 \text{ g/mol} \approx 17.94 \text{ g} \][/tex]
So, the number of grams of oxygen gas that can be produced from the decomposition of 45.8 grams of potassium chlorate is approximately [tex]\( \boxed{17.9 \text{ g}} \)[/tex].
The decomposition reaction of potassium chlorate ([tex]\(KClO_3\)[/tex]) is given by the equation:
[tex]\[ 2 KClO_3 \rightarrow 2 KCl + 3 O_2 \][/tex]
This equation shows that 2 moles of [tex]\(KClO_3\)[/tex] decompose to produce 3 moles of [tex]\(O_2\)[/tex].
We are given 45.8 grams of potassium chlorate and need to find out how many grams of oxygen gas ([tex]\(O_2\)[/tex]) can be produced.
1. Calculate the molar mass of potassium chlorate ([tex]\(KClO_3\)[/tex]):
- Potassium (K): 39.10 g/mol
- Chlorine (Cl): 35.45 g/mol
- Oxygen (O): 16.00 g/mol
So, the molar mass of [tex]\(KClO_3\)[/tex] is:
[tex]\[ 39.10 + 35.45 + 3 \times 16.00 = 122.55 \text{ g/mol} \][/tex]
2. Calculate the number of moles of [tex]\(KClO_3\)[/tex] in 45.8 grams:
[tex]\[ \text{Moles of } KClO_3 = \frac{\text{mass}}{\text{molar mass}} = \frac{45.8 \text{ g}}{122.55 \text{ g/mol}} \approx 0.3737 \text{ moles} \][/tex]
3. Determine the moles of [tex]\(O_2\)[/tex] produced:
According to the balanced chemical equation, 2 moles of [tex]\(KClO_3\)[/tex] produce 3 moles of [tex]\(O_2\)[/tex]. Therefore, the moles of [tex]\(O_2\)[/tex] produced by 0.3737 moles of [tex]\(KClO_3\)[/tex] can be calculated as:
[tex]\[ \text{Moles of } O_2 = \left( \frac{3}{2} \right) \times 0.3737 \approx 0.5606 \text{ moles} \][/tex]
4. Calculate the mass of [tex]\(O_2\)[/tex] produced:
The molar mass of [tex]\(O_2\)[/tex] is [tex]\(32.00 \text{ g/mol}\)[/tex].
Therefore, the mass of [tex]\(O_2\)[/tex] produced is:
[tex]\[ \text{Mass of } O_2 = \text{moles} \times \text{molar mass} = 0.5606 \text{ moles} \times 32.00 \text{ g/mol} \approx 17.94 \text{ g} \][/tex]
So, the number of grams of oxygen gas that can be produced from the decomposition of 45.8 grams of potassium chlorate is approximately [tex]\( \boxed{17.9 \text{ g}} \)[/tex].
Thank you for reading the article If 45 8 grams of potassium chlorate decomposes how many grams of oxygen gas can be produced 2 text KClO 3 rightarrow 2 text KCl. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
