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.

Question

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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