Part A A calorimeter contains 28.0 mL of water at 13.5 C . When 2.20 g of X (a s
ID: 903103 • Letter: P
Question
Part A A calorimeter contains 28.0 mL of water at 13.5 C . When 2.20 g of X (a substance with a molar mass of 65.0 g/mol ) is added, it dissolves via the reaction
X(s)+H2O(l)X(aq)
and the temperature of the solution increases to 26.0 C .
Calculate the enthalpy change, H, for this reaction per mole of X.
Assume that the specific heat of the resulting solution is equal to that of water [4.18 J/(gC)], that density of water is 1.00 g/mL, and that no heat is lost to the calorimeter itself, nor to the surroundings.
Express the change in enthalpy in kilojoules per mole to three significant figures.
Explanation / Answer
X(s)+H2O(l) ----> X(aq)
no of moles of X = 2.2/65 = 0.034 mole
q reased = m*s*DT
mass of solution = 28*1 + 2.2 = 30.2 grams
specificheat of solution = 4.18 j/g.c
DT = (26-13.5) = 12.5 c
= 30.2*4.18*12.5 = 1577.95 joule
= 1.578 kj
so that,
0.034 moles of X = 1.578 kj
1 mole of X = 1.578/0.034 = 46.41 kj/mol
DH = 46.41 kj/mol
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