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balancing equations balance the following chemical equations. 1. fe + h…

Question

balancing equations
balance the following chemical equations.
1.
fe +
h₂so₄ →
fe₂(so₄)₃ +
h₂
2.
c₂h₆ +
o₂ →
h₂o +
co₂
3.
koh +
h₃po₄ →
k₃po₄ +
h₂o
4.
sno₂ +
h₂ →
sn +
h₂o
5.
nh₃ +
o₂ →
no +
h₂o
6.
kno₃ +
h₂co₃ →
k₂co₃ +
hno₃
7.
b₂br₆ +
hno₃ →
b(no₃)₃ +
hbr

Explanation:

Step1: Balance the first equation

For the equation \(Fe + H_{2}SO_{4}\to Fe_{2}(SO_{4})_{3}+H_{2}\), balance \(Fe\) atoms first. There are 2 \(Fe\) atoms in \(Fe_{2}(SO_{4})_{3}\), so put 2 in front of \(Fe\). Then balance \(SO_{4}\) groups. There are 3 \(SO_{4}\) groups in \(Fe_{2}(SO_{4})_{3}\), so put 3 in front of \(H_{2}SO_{4}\). Finally, balance \(H\) atoms. There are 6 \(H\) atoms in \(3H_{2}SO_{4}\), so put 3 in front of \(H_{2}\).

Step2: Balance the second equation

For the equation \(C_{2}H_{6}+O_{2}\to H_{2}O + CO_{2}\), balance \(C\) atoms first. There are 2 \(C\) atoms in \(C_{2}H_{6}\), so put 2 in front of \(CO_{2}\). Balance \(H\) atoms. There are 6 \(H\) atoms in \(C_{2}H_{6}\), so put 3 in front of \(H_{2}O\). Now count \(O\) atoms on the right - hand side (\(3\times1 + 2\times2=7\)). So put \(\frac{7}{2}\) in front of \(O_{2}\). To get rid of the fraction, multiply all coefficients by 2. So we have \(2C_{2}H_{6}+7O_{2}\to6H_{2}O + 4CO_{2}\).

Step3: Balance the third equation

For the equation \(KOH+H_{3}PO_{4}\to K_{3}PO_{4}+H_{2}O\), balance \(K\) atoms. There are 3 \(K\) atoms in \(K_{3}PO_{4}\), so put 3 in front of \(KOH\). Then balance \(H\) atoms. There are \(3 + 3=6\) \(H\) atoms on the left - hand side (from \(3KOH\) and \(H_{3}PO_{4}\)), so put 3 in front of \(H_{2}O\).

Step4: Balance the fourth equation

For the equation \(SnO_{2}+H_{2}\to Sn + H_{2}O\), balance \(O\) atoms. There are 2 \(O\) atoms in \(SnO_{2}\), so put 2 in front of \(H_{2}O\). Then balance \(H\) atoms. There are 4 \(H\) atoms in \(2H_{2}O\), so put 2 in front of \(H_{2}\).

Step5: Balance the fifth equation

For the equation \(NH_{3}+O_{2}\to NO + H_{2}O\), balance \(H\) atoms first. There are 3 \(H\) atoms in \(NH_{3}\), so put \(\frac{3}{2}\) in front of \(H_{2}O\). Balance \(N\) atoms. There is 1 \(N\) atom in \(NH_{3}\) and 1 in \(NO\). Now count \(O\) atoms on the right - hand side (\(1+\frac{3}{2}=\frac{5}{2}\)). So put \(\frac{5}{4}\) in front of \(O_{2}\). To get rid of fractions, multiply all coefficients by 4. So we have \(4NH_{3}+5O_{2}\to4NO + 6H_{2}O\).

Step6: Balance the sixth equation

For the equation \(KNO_{3}+H_{2}CO_{3}\to K_{2}CO_{3}+HNO_{3}\), balance \(K\) atoms. There are 2 \(K\) atoms in \(K_{2}CO_{3}\), so put 2 in front of \(KNO_{3}\). Then balance \(NO_{3}\) groups. There are 2 \(NO_{3}\) groups in \(2KNO_{3}\), so put 2 in front of \(HNO_{3}\).

Step7: Balance the seventh equation

For the equation \(B_{2}Br_{6}+HNO_{3}\to B(NO_{3})_{3}+HBr\), balance \(B\) atoms first. There are 2 \(B\) atoms in \(B_{2}Br_{6}\), so put 2 in front of \(B(NO_{3})_{3}\). Then balance \(NO_{3}\) groups. There are 6 \(NO_{3}\) groups in \(2B(NO_{3})_{3}\), so put 6 in front of \(HNO_{3}\). Finally, balance \(Br\) atoms. There are 6 \(Br\) atoms in \(B_{2}Br_{6}\), so put 6 in front of \(HBr\).

Answer:

  1. \(2Fe + 3H_{2}SO_{4}\to Fe_{2}(SO_{4})_{3}+3H_{2}\)
  2. \(2C_{2}H_{6}+7O_{2}\to6H_{2}O + 4CO_{2}\)
  3. \(3KOH + H_{3}PO_{4}\to K_{3}PO_{4}+3H_{2}O\)
  4. \(SnO_{2}+2H_{2}\to Sn + 2H_{2}O\)
  5. \(4NH_{3}+5O_{2}\to4NO + 6H_{2}O\)
  6. \(2KNO_{3}+H_{2}CO_{3}\to K_{2}CO_{3}+2HNO_{3}\)
  7. \(B_{2}Br_{6}+6HNO_{3}\to2B(NO_{3})_{3}+6HBr\)