when a 16.9 g sample of NaOH dissolves in 70.0 g of water in a calorimeter, the temperature rises from 22.4°C to 86.6°C. calculate ΔH for the process
NaOH(s) → Na(aq) + OH(aq) ΔH = ?

Respuesta :

ΔH for the process is -252.3 cal/mol or -1056 j/mol.

What is Enthalpy of Solution ?

A solid salt compound dissociates in liquid water to form an aqueous solution of its constituent ions.

This is a chemical reaction, with the required heat change at constant pressure termed the enthalpy of solution.

If this value is positive, then the final prepared solution will have a lower temperature than the starting pure solvent.

Conversely, a negative enthalpy value results in a solution temperature that is higher than the starting solvent temperature.

It is given that

NaOH (s) → Na (aq) + OH (aq)

mass of NaOH is 16.9 g

mass of water = 70 g

ΔT = 86.6-22.4 °C = 64.2 °C

q = m × Cg × ΔT

q = amount of energy released or absorbed

m = mass

Cg = specific heat capacity

ΔT = change in temperature

n = m ÷ M

n = moles of solute

m = mass of solute

M = molar mass of solute

ΔHsoln = q ÷ n

ΔHsoln = molar enthalpy (heat) of solution

q = amount of energy (heat) released or absorbed

n = moles of solute

Cg= 1 cal/gm/°C

Now substituting the values in the equation

q = m × Cg × ΔT

q = 16.9 * 1 * 64.2

q = 1085 cal

n = m ÷ M

M= 70/18=3.9

n=16.9/3.9

n=4.3

ΔH = q ÷ n

ΔH =1085 /4.3

ΔH= -252.3 cal/mol or -1056 j/mol

Therefore ΔH for the process

NaOH(s) → Na(aq) + OH(aq)

is -252.3 cal/mol or -1056 j/mol

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