What is the anhydride for each of the following acids: (a) \(\mathrm{H}_{2} \mathrm{SO}_{4}\) (b) \(\mathrm{HClO}_{3}\) (c) \(\mathrm{HNO}_{2}\), (d) \(\mathrm{H}_{2} \mathrm{CO}_{3},\) (e) \(\mathrm{H}_{3} \mathrm{PO}_{4} ?\)

Short Answer

Expert verified
The anhydrides for the given acids are as follows: (a) H2S2O7, (b) Cl2O6, (c) N2O3, (d) CO2 (for H2CO3), (e) H4P2O7.

Step by step solution

01

(a) Anhydride of H2SO4

To find the anhydride of H2SO4, we will first combine two molecules of H2SO4 and then remove a water molecule: \[2 \; (\mathrm{H}_{2} \mathrm{SO}_{4}) - \mathrm{H}_{2} \mathrm{O} = \mathrm{H}_{2} \mathrm{S}_{2} \mathrm{O}_{7}\] Thus, the anhydride of H2SO4 is H2S2O7.
02

(b) Anhydride of HClO3

To find the anhydride of HClO3, we will first combine two molecules of HClO3 and then remove a water molecule: \[2 \; (\mathrm{HClO}_{3}) - \mathrm{H}_{2} \mathrm{O} = \mathrm{Cl}_{2} \mathrm{O}_{6}\] Thus, the anhydride of HClO3 is Cl2O6.
03

(c) Anhydride of HNO2

To find the anhydride of HNO2, we will first combine two molecules of HNO2 and then remove a water molecule: \[2 \; (\mathrm{HNO}_{2}) - \mathrm{H}_{2} \mathrm{O} = \mathrm{N}_{2} \mathrm{O}_{3}\] Thus, the anhydride of HNO2 is N2O3.
04

(d) Anhydride of H2CO3

To find the anhydride of H2CO3, we will first combine two molecules of H2CO3 and then remove a water molecule: \[2 \; (\mathrm{H}_{2} \mathrm{CO}_{3}) - \mathrm{H}_{2} \mathrm{O} = \mathrm{H}_{2} \mathrm{C}_{2} \mathrm{O}_{5}\] However, H2C2O5 does not exist under normal conditions as the anhydride of carbonic acid. Carbonic acid H2CO3 instead decomposes directly into water and carbon dioxide (CO2): \[\mathrm{H}_{2} \mathrm{CO}_{3} \longrightarrow \mathrm{H}_{2} \mathrm{O} + \mathrm{CO}_{2}\] Thus, CO2 is considered the anhydride of H2CO3.
05

(e) Anhydride of H3PO4

To find the anhydride of H3PO4, we will first combine two molecules of H3PO4 and then remove a water molecule: \[2 \; (\mathrm{H}_{3} \mathrm{PO}_{4}) - \mathrm{H}_{2} \mathrm{O} = \mathrm{H}_{4} \mathrm{P}_{2} \mathrm{O}_{7}\] Thus, the anhydride of H3PO4 is H4P2O7.

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