In a coffee-cup calorimeter, 100.0 mL of 1.0 M NaOH and 100.0 mL of 1.0 M HCl are mixed. Both

step 1 Hey guys, in this problem we will calculate the enthalpy change for the neutralization of HCL by

In a coffee-cup calorimeter, 100.0 mL of 1.0 M NaOH and...

In a coffee-cup calorimeter, $100.0 \mathrm{~mL}$ of $1.0 \mathrm{M} \mathrm{NaOH}$ and $100.0 \mathrm{~mL}$ of $1.0 \mathrm{M} \mathrm{HCl}$ are mixed. Both solutions were originally at $24.6^{\circ} \mathrm{C}$. After the reaction, the final temperature is $31.3^{\circ} \mathrm{C}$. Assuming that all the solutions have a density of $1.0 \mathrm{~g} / \mathrm{cm}^{3}$ and a specific heat capacity of $4.18 \mathrm{~J} /{ }^{\circ} \mathrm{C} \cdot \mathrm{g}$, calculate the enthalpy change for the neutralization of $\mathrm{HCl}$ by $\mathrm{NaOH}$. Assume that no heat is lost to the surroundings or to the calorimeter.

Key Concepts

Calorimetry

Calorimetry is the experimental technique used to measure the amount of heat absorbed or released during a chemical reaction or physical change. It involves using a calorimeter, an insulated container that minimizes heat loss to the surroundings, to accurately measure temperature changes and calculate the corresponding heat transfer.

Specific Heat Capacity

Specific heat capacity is a physical property that indicates the amount of heat required to raise the temperature of one gram of a substance by one degree Celsius. In calorimetry experiments, this property is essential for converting observed temperature changes into the amount of heat absorbed or released by the system.

Density

Density is defined as mass per unit volume and is used to convert the volume of a solution into its mass. This conversion is critical in calorimetric calculations because heat is calculated based on the mass of the reacting substances along with their specific heat capacity.

Enthalpy Change

Enthalpy change is the heat absorbed or released at constant pressure during a chemical reaction. It is an essential thermodynamic quantity that provides insights into the energy profile of reactions. In calorimetry, the measured heat transfer is often used to calculate the enthalpy change per mole of reactant involved.

Reaction Stoichiometry

Reaction stoichiometry involves the quantitative relationships between reactants and products in a chemical reaction. It is used to determine the number of moles of substances reacting, which is necessary to express the enthalpy change on a per mole basis for a specific reaction.

Neutralization Reaction

A neutralization reaction is a type of chemical reaction in which an acid and a base react to form water and a salt. These reactions are typically exothermic, meaning they release heat, a feature that can be quantified through calorimetric measurements.

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