Answer:
3.37 m
Explanation:
<u>Number of moles of solute present in 1 kg of solvent is termed as molality</u>
It is represented by 'm'.
Thus,
Given that:
The mass of LiCl = 15.0 g
Molar mass of LiCl = 42.394 g/mol
The formula for the calculation of moles is shown below:
Thus,
Mass of the solvent = 105 g
Also, 1 g = 0.001 g
So,
Mass of water (solvent) = 0.105 kg
Molality is:
<u>Molality = 3.37 m</u>
Taking into account the definition of calorimetry, 0.0185 moles of water are required.
<h3>Calorimetry</h3>Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.
Sensible heat is defined as the amount of heat that a body absorbs or releases without any changes in its physical state (phase change).
So, the equation that allows to calculate heat exchanges is:
Q = c× m× ΔT
where Q is the heat exchanged by a body of mass m, made up of a specific heat substance c and where ΔT is the temperature variation.
<h3>Mass of water required</h3>In this case, you know:
Replacing in the expression to calculate heat exchanges:
92.048 kJ = 4.186 × m× (100 °C -34 °C)
92.048 kJ = 4.186 × m× 66 °C
m= 92.048 kJ ÷ (4.186 × 66 °C)
<u><em>m= 0.333 grams</em></u>
<h3>Moles of water required</h3>Being the molar mass of water 18 , that is, the amount of mass that a substance contains in one mole, the moles of water required can be calculated as:
<u><em>amount of moles= 0.0185 moles</em></u>
Finally, 0.0185 moles of water are required.
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