In: Chemistry
Question #: 9 How much energy is required to warm 90.1 g (5.00 mol) of H2O(s), initially at –19.4 oC, to H2O( l) at 100.0 oC? melting point = 0.00 oC boiling point = 100.0 oC ΔHfus = 6.02 kJ/mol ΔHvap = 40.7 kJ/mol Cs of H2O(s) = 2.09 J/g oC Cs of H2O(l) = 4.18 J/g oC Cs of H2O(g) = 2.01 J/g oC
The energy required for the whole process has to be calculated as follows:
H2O(s) -------> H2O(s) --------> H2O(l) ------> H2O(l) ----------> H2O(g)
-19.4 O O 100 100 all in oC
2.09J/g deltaH fus 4.18J/g deltaH vap energy required
Energy for step I = 2.09 x 90.1 = 188.309J
energy for step II = 6.02x1000 x 5 =30100J
energy for step III = 4.18 x 90.1 =376.618J
energy for step Iv = 40.7 x 1000 x 5 = 203500J
Thus the totyal energy required for all the processes = 234164.927 J =234.16 kJ