Estimate the H−N−H bond angle in methanamine using VSEPR theory.

State the electron domain geometry around the nitrogen atom and its hybridization in methanamine.

Ammonia reacts reversibly with water.
\[{\text{N}}{{\text{H}}_{\text{3}}}{\text{(g)}} + {{\text{H}}_{\text{2}}}{\text{O(l)}} \rightleftharpoons {\text{NH}}_{\text{4}}^ + {\text{(aq)}} + {\text{O}}{{\text{H}}^ - }{\text{(aq)}}\]
Explain the effect of adding \({{\text{H}}^ + }{\text{(aq)}}\) ions on the position of the equilibrium.

Hydrazine reacts with water in a similar way to ammonia. (The association of a molecule of hydrazine with a second H⁺ is so small it can be neglected.)

\[{{\text{N}}_{\text{2}}}{{\text{H}}_{\text{4}}}{\text{(aq)}} + {{\text{H}}_{\text{2}}}{\text{O(l)}} \rightleftharpoons {{\text{N}}_{\text{2}}}{\text{H}}_{\text{5}}^ + {\text{(aq)}} + {\text{O}}{{\text{H}}^ - }{\text{(aq)}}\]

\[{\text{p}}{K_{\text{b}}}{\text{ (hydrazine)}} = 5.77\]

Calculate the pH of a \(0.0100{\text{ mol}}\,{\text{d}}{{\text{m}}^{ - 3}}\) solution of hydrazine.

Suggest a suitable indicator for the titration of hydrazine solution with dilute sulfuric acid using section 22 of the data booklet.

Outline, using an ionic equation, what is observed when magnesium powder is added to a solution of ammonium chloride.

Determine the enthalpy change of reaction, \(\Delta H\), in kJ, when 1.00 mol of gaseous hydrazine decomposes to its elements. Use bond enthalpy values in section 11 of the data booklet.

\[{{\text{N}}_{\text{2}}}{{\text{H}}_{\text{4}}}{\text{(g)}} \to {{\text{N}}_{\text{2}}}{\text{(g)}} + {\text{2}}{{\text{H}}_{\text{2}}}{\text{(g)}}\]

The standard enthalpy of formation of \({{\text{N}}_{\text{2}}}{{\text{H}}_{\text{4}}}{\text{(l)}}\) is \( + 50.6{\text{ kJ}}\,{\text{mo}}{{\text{l}}^{ - 1}}\). Calculate the enthalpy of vaporization, \(\Delta {H_{{\text{vap}}}}\), of hydrazine in \({\text{kJ}}\,{\text{mo}}{{\text{l}}^{ - 1}}\). \[{{\text{N}}_{\text{2}}}{{\text{H}}_{\text{4}}}{\text{(l)}} \to {{\text{N}}_{\text{2}}}{{\text{H}}_{\text{4}}}{\text{(g)}}\] (If you did not get an answer to (f), use \( - 85{\text{ kJ}}\) but this is not the correct answer.)

Calculate, showing your working, the mass of hydrazine needed to remove all the dissolved oxygen from \({\text{1000 d}}{{\text{m}}^{\text{3}}}\) of the sample.

Calculate the volume, in \({\text{d}}{{\text{m}}^{\text{3}}}\), of nitrogen formed under SATP conditions. (The volume of 1 mol of gas = \({\text{24.8 d}}{{\text{m}}^{\text{3}}}\) at SATP.)

107°

Accept 100° to < 109.5°.

Literature value = 105.8°

[1 mark]

tetrahedral

sp³

No ECF allowed.

[2 marks]

removes/reacts with \({\text{O}}{{\text{H}}^ - }\)

moves to the right/products «to replace \({\text{O}}{{\text{H}}^ - }\) ions»

Accept ionic equation for M1.

[2 marks]

K_b = 10^–5.77 / 1.698 x 10^–6
OR
\({K_{\text{b}}} = \frac{{\left[ {{{\text{N}}_{\text{2}}}{\text{H}}_5^ + } \right] \times \left[ {{\text{O}}{{\text{H}}^ - }} \right]}}{{\left[ {{{\text{N}}_{\text{2}}}{{\text{H}}_4}} \right]}}\)

 [OH^–]² «= 1.698 × 10^–6 × 0.0100» = 1.698 × 10^–8

OR

[OH^–] «\( = \sqrt {1.698 \times {{10}^{ - 8}}} \)» = 1.303 × 10^–4 «mol dm^–3»

pH «\( =  - {\text{lo}}{{\text{g}}_{10}}\frac{{1 \times {{10}^{ - 14}}}}{{1.3 \times {{10}^{ - 4}}}}\)» = 10.1

Award [3] for correct final answer.

Give appropriate credit for other methods containing errors that do not yield correct final answer.

[3 marks]

methyl red

OR

bromocresol green

OR

bromophenol blue

OR

methyl orange

[1 mark]

bubbles

OR

gas

OR

magnesium disappears

\({\text{2NH}}_{\text{4}}^ + {\text{(aq)}} + {\text{Mg(s)}} \to {\text{M}}{{\text{g}}^{{\text{2}} + }}{\text{(aq)}} + {\text{2N}}{{\text{H}}_{\text{3}}}{\text{(aq)}} + {{\text{H}}_{\text{2}}}{\text{(g)}}\)

Do not accept “hydrogen” without reference to observed changes.

Accept "smell of ammonia".

Accept 2H⁺(aq) + Mg(s) \( \to \) Mg²⁺(aq) + H₂(g)

Equation must be ionic.

[2 marks]

bonds broken:

E(N–N) + 4E(N–H)

OR

\(158{\text{ }}\ll {\text{kJ}}\,{\text{mo}}{{\text{l}}^{ - 1}}\gg  + 4 \times 391{\text{ }}\ll {\text{kJ}}\,{\text{mo}}{{\text{l}}^{ - 1}}\gg /1722{\text{ }}\ll {\text{kJ}}\gg \)

bonds formed:

E(N\( \equiv \)N) + 2E(H–H)

OR

\(945{\text{ }}\ll {\text{kJ}}\,{\text{mo}}{{\text{l}}^{ - 1}}\gg  + 2 \times 436{\text{ }}\ll {\text{kJ}}\,{\text{mo}}{{\text{l}}^{ - 1}}\gg /1817{\text{ }}\ll {\text{kJ}}\gg \)

\(\ll \Delta H = {\text{bonds broken}} - {\text{bonds formed}} = 1722 - 1817 = \gg  - 95{\text{ }}\ll {\text{kJ}}\gg \)

Award [3] for correct final answer.

Award [2 max] for +95 «kJ».

[3 marks]

OR

\(\Delta {H_{{\text{vap}}}} =  - 50.6{\text{ kJ}}\,{\text{mo}}{{\text{l}}^{ - 1}} - {\text{(}} - 95{\text{ kJ}}\,{\text{mo}}{{\text{l}}^{ - 1}}{\text{)}}\)

\(\ll \Delta {H_{vap}} = \gg  + 44{\text{ }}\ll {\text{kJ}}\,{\text{mo}}{{\text{l}}^{ - 1}}\gg \)

Award [2] for correct final answer. Award [1 max] for –44 «kJ mol^–1».

Award [2] for:

ΔH_vap = –50.6 kJ mol^–1 – (–85 J mol^–1) = ＋34 «kJ mol^–1».

Award [1 max] for –34 «kJ mol^–1».

[2 marks]

total mass of oxygen \(\ll  = 8.0 \times {10^{ - 3}}{\text{ g}}\,{\text{d}}{{\text{m}}^{ - 3}} \times 1000{\text{ d}}{{\text{m}}^3}\gg  = 8.0{\text{ }}\ll {\text{g}}\gg \)

\({\text{n(}}{{\text{O}}_{\text{2}}}{\text{) }}\ll  = \frac{{8.0{\text{ g}}}}{{32.00{\text{ g}}\,{\text{mo}}{{\text{l}}^{ - 1}}}} = \gg {\text{ }}0.25{\text{ }}\ll {\text{mol}}\gg \)

OR

\({\text{n(}}{{\text{N}}_{\text{2}}}{{\text{H}}_{\text{4}}}{\text{)}} = {\text{n(}}{{\text{O}}_{\text{2}}}{\text{)}}\)

\(\ll {\text{mass of hydrazine}} = 0.25{\text{ mol}} \times 32.06{\text{ g}}\,{\text{mo}}{{\text{l}}^{ - 1}} = \gg {\text{ }}8.0{\text{ }}\ll {\text{g}}\gg \)

Award [3] for correct final answer.

[3 marks]

\(\ll {\text{n(}}{{\text{N}}_{\text{2}}}{{\text{H}}_{\text{4}}}{\text{)}} = {\text{n(}}{{\text{O}}_{\text{2}}}{\text{)}} = \frac{{8.0{\text{ g}}}}{{32.00{\text{ g}}\,{\text{mo}}{{\text{l}}^{ - 1}}}} = \gg {\text{ }}0.25{\text{ }}\ll {\text{mol}}\gg \)

\(\ll {\text{volume of nitrogen}} = 0.25{\text{ mol}} \times 24.8{\text{ d}}{{\text{m}}^3}\,{\text{mo}}{{\text{l}}^{ - 1}}\gg  = 6.2{\text{ }}\ll {\text{d}}{{\text{m}}^3}\gg \)

Award [1] for correct final answer.

[1 mark]