Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
Sure, let's go through the process of balancing these chemical equations step by step.
### 1. [tex]\( CH_4 + \square O_2 \rightarrow CO_2 + \square H_2O \)[/tex]
To balance this equation:
- Start with carbon (C): There is 1 carbon atom on each side (1 CH4 to 1 CO2), so carbon is already balanced.
- Next, balance hydrogen (H): There are 4 hydrogen atoms from CH4. To have 4 hydrogen atoms in water (H2O), we need 2 H2O molecules (since each H2O has 2 hydrogen atoms).
Thus,
[tex]\[ CH_4 + \square O_2 \rightarrow CO_2 + 2 H_2O \][/tex]
- Lastly, balance oxygen (O):
On the right side, we have 1 CO2 (which has 2 oxygen atoms) and 2 H2O (each H2O has 1 oxygen atom, so 2 H2O gives 2 oxygen atoms). In total, that's 4 oxygen atoms on the right.
On the left side, we need 4 oxygen atoms, which means we need 2 O2 molecules (since each O2 molecule contains 2 oxygen atoms).
Therefore, the balanced equation is:
[tex]\[ CH_4 + 2 O_2 \rightarrow CO_2 + 2 H_2O \][/tex]
### 2. [tex]\( CaCl_2 + \square AgNO_3 \rightarrow Ca(NO_3)_2 + \square AgCl \)[/tex]
To balance this equation:
- Start with calcium (Ca): There is 1 Ca on each side, so calcium is already balanced.
- Next, balance nitrate (NO3): There are 2 nitrate groups (NO3) on the right side in Ca(NO3)2, meaning we need 2 AgNO3 to provide 2 NO3 groups.
Thus,
[tex]\[ CaCl_2 + 2 AgNO_3 \rightarrow Ca(NO_3)_2 + \square AgCl \][/tex]
- Lastly, balance silver (Ag) and chloride (Cl):
We have 2 Ag from 2 AgNO3 on the left, so we need the same number of AgCl on the right.
Additionally, there are 2 Cl from CaCl2 on the left, matching with 2 Cl in 2 AgCl on the right.
Therefore, the balanced equation is:
[tex]\[ CaCl_2 + 2 AgNO_3 \rightarrow Ca(NO_3)_2 + 2 AgCl \][/tex]
### 3. [tex]\( C_2H_6O + \square O_2 \rightarrow \square CO_2 + \square H_2O \)[/tex]
To balance this equation:
- Start with carbon (C): There are 2 carbon atoms in C2H6O, so we need 2 CO2 to balance the carbon atoms.
Thus,
[tex]\[ C_2H_6O + \square O_2 \rightarrow 2 CO_2 + \square H_2O \][/tex]
- Next, balance hydrogen (H): There are 6 hydrogen atoms in C2H6O, which means we need 3 H2O (since each H2O has 2 hydrogen atoms) to provide 6 hydrogen atoms.
[tex]\[ C_2H_6O + \square O_2 \rightarrow 2 CO_2 + 3 H_2O \][/tex]
- Lastly, balance oxygen (O):
On the right side, we have 2 CO2 (which provides 4 oxygen atoms), and 3 H2O (which provides 3 more oxygen atoms), making a total of 7 oxygen atoms on the right.
On the left side, we need 3 O2 to provide 6 oxygen atoms. Adding the 1 oxygen atom already in C2H6O, we get the required 7 oxygen atoms.
Therefore, the balanced equation is:
[tex]\[ C_2H_6O + 3 O_2 \rightarrow 2 CO_2 + 3 H_2O \][/tex]
To summarize, the balanced equations are:
1. [tex]\( CH_4 + 2 O_2 \rightarrow CO_2 + 2 H_2O \)[/tex]
2. [tex]\( CaCl_2 + 2 AgNO_3 \rightarrow Ca(NO_3)_2 + 2 AgCl \)[/tex]
3. [tex]\( C_2H_6O + 3 O_2 \rightarrow 2 CO_2 + 3 H_2O \)[/tex]
### 1. [tex]\( CH_4 + \square O_2 \rightarrow CO_2 + \square H_2O \)[/tex]
To balance this equation:
- Start with carbon (C): There is 1 carbon atom on each side (1 CH4 to 1 CO2), so carbon is already balanced.
- Next, balance hydrogen (H): There are 4 hydrogen atoms from CH4. To have 4 hydrogen atoms in water (H2O), we need 2 H2O molecules (since each H2O has 2 hydrogen atoms).
Thus,
[tex]\[ CH_4 + \square O_2 \rightarrow CO_2 + 2 H_2O \][/tex]
- Lastly, balance oxygen (O):
On the right side, we have 1 CO2 (which has 2 oxygen atoms) and 2 H2O (each H2O has 1 oxygen atom, so 2 H2O gives 2 oxygen atoms). In total, that's 4 oxygen atoms on the right.
On the left side, we need 4 oxygen atoms, which means we need 2 O2 molecules (since each O2 molecule contains 2 oxygen atoms).
Therefore, the balanced equation is:
[tex]\[ CH_4 + 2 O_2 \rightarrow CO_2 + 2 H_2O \][/tex]
### 2. [tex]\( CaCl_2 + \square AgNO_3 \rightarrow Ca(NO_3)_2 + \square AgCl \)[/tex]
To balance this equation:
- Start with calcium (Ca): There is 1 Ca on each side, so calcium is already balanced.
- Next, balance nitrate (NO3): There are 2 nitrate groups (NO3) on the right side in Ca(NO3)2, meaning we need 2 AgNO3 to provide 2 NO3 groups.
Thus,
[tex]\[ CaCl_2 + 2 AgNO_3 \rightarrow Ca(NO_3)_2 + \square AgCl \][/tex]
- Lastly, balance silver (Ag) and chloride (Cl):
We have 2 Ag from 2 AgNO3 on the left, so we need the same number of AgCl on the right.
Additionally, there are 2 Cl from CaCl2 on the left, matching with 2 Cl in 2 AgCl on the right.
Therefore, the balanced equation is:
[tex]\[ CaCl_2 + 2 AgNO_3 \rightarrow Ca(NO_3)_2 + 2 AgCl \][/tex]
### 3. [tex]\( C_2H_6O + \square O_2 \rightarrow \square CO_2 + \square H_2O \)[/tex]
To balance this equation:
- Start with carbon (C): There are 2 carbon atoms in C2H6O, so we need 2 CO2 to balance the carbon atoms.
Thus,
[tex]\[ C_2H_6O + \square O_2 \rightarrow 2 CO_2 + \square H_2O \][/tex]
- Next, balance hydrogen (H): There are 6 hydrogen atoms in C2H6O, which means we need 3 H2O (since each H2O has 2 hydrogen atoms) to provide 6 hydrogen atoms.
[tex]\[ C_2H_6O + \square O_2 \rightarrow 2 CO_2 + 3 H_2O \][/tex]
- Lastly, balance oxygen (O):
On the right side, we have 2 CO2 (which provides 4 oxygen atoms), and 3 H2O (which provides 3 more oxygen atoms), making a total of 7 oxygen atoms on the right.
On the left side, we need 3 O2 to provide 6 oxygen atoms. Adding the 1 oxygen atom already in C2H6O, we get the required 7 oxygen atoms.
Therefore, the balanced equation is:
[tex]\[ C_2H_6O + 3 O_2 \rightarrow 2 CO_2 + 3 H_2O \][/tex]
To summarize, the balanced equations are:
1. [tex]\( CH_4 + 2 O_2 \rightarrow CO_2 + 2 H_2O \)[/tex]
2. [tex]\( CaCl_2 + 2 AgNO_3 \rightarrow Ca(NO_3)_2 + 2 AgCl \)[/tex]
3. [tex]\( C_2H_6O + 3 O_2 \rightarrow 2 CO_2 + 3 H_2O \)[/tex]
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
