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Verified Answer :

Answer:-564.4996 kJ is the change in enthalpy when 250 g of water vapor condenses at 100°C.

Explanation:

\(H_2O(l)\rightarrow H_2O(g),\Delta H_v=40.67 kJ/mol\)

\([tex]H_2O(g)\rightarrow H_2O(l),\Delta H_c=-40.67 kJ/mol\)

Moles of water = \(\frac{250 g}{18 g/mol}=13.88 mol\)

Heat of condensation of 1 mol of water = \(\Delta H_v=-40.67 kJ/mol\)

Heat change when 250 grams of water condenses at 100° C:

\(-40.67 kJ/mol\times 13.88 mol=-564.4996 kJ\)

-564.4996 kJ is the change in enthalpy when 250 g of water vapor condenses at 100°C.

Your answer is −565 kJ.