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)
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=ΔH−131.kJ
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In the second step, methanol reacts to form dimethyl ether and water:
2CH3OH(l) →CH3OCH3(g) +H2O(l)
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=ΔH8.kJ
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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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