Dimethyl ether, a useful organic solvent, is prepared in two steps. In the first step, carbon dioxide and hydrogen react to form methanol and water:CO2(g)+3H2(g)→CH3OH(l)+H2O(l) =ΔH−131.kJIn the second step, methanol reacts to form dimethyl ether and water:2CH3OH(l) →CH3OCH3(g) +H2O(l) =ΔH8.kJCalculate the net change in enthalpy for the formation of one mole of dimethyl ether from carbon dioxide and hydrogen from these reactions.Round your answer to the nearest kJ.

Question
Asked Nov 6, 2019

Dimethyl ether, a useful organic solvent, is prepared in two steps. In the first step, carbon dioxide and hydrogen react to form methanol and water:

CO2(g)+3H2(g)→CH3OH(l)+H2O(l)
 
=ΔH−131.kJ

In the second step, methanol reacts to form dimethyl ether and water:

2CH3OH(l) →CH3OCH3(g) +H2O(l)
 
=ΔH8.kJ

Calculate the net change in enthalpy for the formation of one mole of dimethyl ether from carbon dioxide and hydrogen from these reactions.
Round your answer to the nearest kJ.

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Expert Answer

Step 1

Given,

...
Reaction-1
->CH,OH +H2O
CO2+3H2
AH-131k
Reaction-2
->CH,OCH3+H2O
AH 8 kJ
2 CH,OH
D
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Reaction-1 ->CH,OH +H2O CO2+3H2 AH-131k Reaction-2 ->CH,OCH3+H2O AH 8 kJ 2 CH,OH D

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