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Multiple Choice
What is the enthalpy change (ΔH) for the dissolution of 2.50 g of substance X in water, given that the temperature of the solution increases from 12.0 °C to 27.0 °C?
A
-10.0 kJ/mol
B
5.0 kJ/mol
C
10.0 kJ/mol
D
-5.0 kJ/mol
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Verified step by step guidance
1
First, understand that the enthalpy change (ΔH) for a process is related to the heat absorbed or released during the process. In this case, the dissolution of substance X in water causes a temperature change, indicating a heat exchange.
Calculate the temperature change (ΔT) of the solution using the formula: ΔT = T_final - T_initial. Here, T_final is 27.0 °C and T_initial is 12.0 °C.
Use the formula for heat transfer: q = m × c × ΔT, where q is the heat absorbed or released, m is the mass of the solution, c is the specific heat capacity of the solution, and ΔT is the temperature change. Assume the specific heat capacity of water if not given.
Determine the moles of substance X dissolved using its molar mass. The mass given is 2.50 g, so use the formula: moles = mass / molar mass.
Finally, calculate the enthalpy change per mole (ΔH) using the formula: ΔH = q / moles. This will give you the enthalpy change in kJ/mol, which you can compare to the given options.