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how many moels of water is in 13.8g of H2O?

there is 1.22 moles

no. 1mol of H2O is 18g. You've only got 13.8g. Flip the fraction upside down

okay so the answer would −7.87 kJ
?

or am i wrong?

your mole conversion should look like\[13.8g H_2O * (\frac{1mol H_2O}{18gH_2O}) = 0.767 moles H_2O\]

so is my answer wrong?

40.65 or 6.03 ????

Oh okay .
−31.3 kJ so this would be the final result?

-4.623\[\approx\] -4.62