9). What is the balanced equation for the acid–base reaction of nitrous acid with lithium hydroxide?

LiOH(aq) + HNO3(aq)  H2O(l) + LiNO3(aq)
Li(OH)2(aq) + 2 HNO3(aq)  2 H2O(l) + Li(NO3)2(aq)
LiOH(aq) + HNO2(aq)  H2O(l) + LiNO2(aq)
2 LiOH(aq) + H2NO2(aq)  2 H2O(l) + Li2NO2(aq)

Nitrous acid is HNO2

The balanced equation for the acid-base reaction of nitrous acid with lithium hydroxide is:

2 LiOH(aq) + 2 HNO2(aq) → 2 H2O(l) + Li2NO2(aq)

To determine the balanced equation for the acid-base reaction between nitrous acid (HNO2) and lithium hydroxide (LiOH), we need to ensure that the number of atoms of each element is equal on both sides of the equation.

The equation options provided are:

1. LiOH(aq) + HNO3(aq) → H2O(l) + LiNO3(aq)
2. Li(OH)2(aq) + 2 HNO3(aq) → 2 H2O(l) + Li(NO3)2(aq)
3. LiOH(aq) + HNO2(aq) → H2O(l) + LiNO2(aq)
4. 2 LiOH(aq) + H2NO2(aq) → 2 H2O(l) + Li2NO2(aq)

To determine the balanced equation, we need to make sure that the number of atoms of each element on both sides of the equation is equal.

In option 1, we have 1 Nitrogen (N) atom on the left side, but 1 Nitrogen (N) atom on the right side. So the Nitrogen atom is balanced.

Next, we have 1 Hydrogen (H) atom on the left side, but 2 Hydrogen (H) atoms on the right side. So we need to balance the Hydrogen atoms.

To do this, we can multiply the HNO3 on the left side by 2, giving us:

2 LiOH(aq) + 2 HNO3(aq) → 2 H2O(l) + 2 LiNO3(aq)

Now, we have 4 Hydrogen (H) atoms on the right side which balances the Hydrogen atoms on the left side.

Finally, we have 1 Oxygen (O) atom on the left side and 6 Oxygen (O) atoms on the right side. So we need to balance the Oxygen atoms.

To balance the Oxygen atoms, we can multiply the H2O on the left side by 3, giving us:

2 LiOH(aq) + 2 HNO3(aq) → 6 H2O(l) + 2 LiNO3(aq)

Now, we have an equal number of Oxygen (O) atoms on both sides, and all the elements are balanced.

Thus, the correct balanced equation for the acid-base reaction of nitrous acid with lithium hydroxide is:

2 LiOH(aq) + 2 HNO3(aq) → 6 H2O(l) + 2 LiNO3(aq), which is not one of the provided options.