Author: impushpshikha

  • What is Calorimetry?

    What is Calorimetry?

    Calorimetry is a technique which we use to measure the amount of heat released or absorbed during a reaction. To measure the heat of a reaction accurately, it is essential to isolate the system to avoid heat exchange with the environment. We accomplish this using a device known as a calorimeter.

    Calorimeter mainly consists of metallic vessels which are good conductor of heat such as aluminium and copper etc. The vessel includes a built-in stirring mechanism to mix its contents. This vessel is placed inside an insulated jacket to minimize heat loss to the surroundings. A single opening is provided for inserting a thermometer to monitor temperature changes during the reaction.

    Principle of Calorimetry

    The principle of calorimetry is based on the law of conservation of energy, which states that energy cannot be created or destroyed, only transferred from one body to another. When two objects at different temperatures come into contact, the object at the higher temperature transfers heat energy to the one at the lower temperature. This heat transfer continues until both objects reach the same temperature, a state known as thermal equilibrium.

    Example

    Consider a scenario where someone places a hot iron rod into a container of cool water. Since the iron rod is at a higher temperature and the water is at a lower temperature, heat will transfer from the rod to the water.

    As a result:

    • The temperature of the iron rod decreases.
    • The temperature of the water increases.

    This exchange of heat continues until both the rod and the water reach the same final temperature. According to the principle of calorimetry, the total heat lost by the hot object is equal to the total heat gained by the cooler one. Mathematically, we express it as follows:

    qwater + qiron rod = 0

    By rearranging this gives:

    qwater = – qiron rod

    Here, q represent the amount of heat transferred, we calculate it using the formula:

    q = mcΔT

    Where:

    • m is the mass of the substance (in grams),
    • c is the specific heat capacity (a material-specific constant),
    • ΔT is the change in temperature, calculated as:

    ΔT =Tfinal – Tinitial

    Where, Tfinal is final temperature and Tinitial is initial temperature.

    This formula allows us to quantify the heat exchanged between substances during thermal interactions and is fundamental in calorimetry calculations.

    Types of Calorimeter

    1. Bomb Calorimeter
    2. Coffee cup calorimeter

    Let’s discuss about these calorimeter in detail:

    1. Bomb Calorimeter: A bomb calorimeter is a device used to measure the heat of combustion of a substance. It functions based on the principle of calorimetry and operates by burning a sample in a sealed chamber filled with high-pressure oxygen at constant volume. Scientists refer to this sealed chamber as the “bomb” due to its design, which can withstand the force generated during combustion. In most bomb calorimeters, water surrounds the chamber as it absorbs the heat released during combustion process.
    2. Coffee cup Calorimeter: This calorimeter is a simple yet effective tool for measuring heat transfer during chemical reactions in liquid solutions. It operates at constant pressure and typically consists of two nested Styrofoam coffee cups with a lid to provide thermal insulation. Laboratories frequently use this type of calorimeter due to its convenience, affordability, and suitability for basic thermochemical experiments.

    Applications

    1. Food technologists can determine the energy content of food by measuring the heat released during combustion using calorimeter in food laboratories.
    2. Researchers can determine the specific heat capacity of a material by measuring the heat exchanged during temperature changes using calorimeter.
    3. Calorimetry is useful for analyzing medicines and other biological substances by measuring heat changes during molecular interactions, helping to understand their properties and effects.

    Limitations

    1. Assuming the solution is pure water:
    • In reactions involving aqueous solutions (like acids and bases), we often assume the solution has the same density (1 g/mL) and specific heat capacity (4.18 J/g°C) as water.
    • However, if the solution contains dissolved substances (like salts or acids), its actual properties may differ, leading to inaccuracies.

    2. Assuming no heat is lost to the surroundings:

    • In reality, some heat is always lost to the container or environment, especially in simple calorimeters like coffee cup calorimeters.
    • This causes the measured temperature change to be smaller than it would be in a perfectly insulated system, underestimating the true heat change.

  • Calculate Kp for the reaction H2 (g) + I2 (g) ⇄ 2HI (g) at 25°C

    Calculate Kp for the reaction H2 (g) + I2 (g) ⇄ 2HI (g) at 25°C

    Calculate Kp for the below reaction at 25°C:

    Solution:

    Interpretation: We will use the equation that describes the relation between equilibrium constant (Kp ) and Gibb’s free energy change (ΔG°).

    ΔG° = – RTlnKp

    Where, ΔG° = Standard free energy change

    Kp = Equilibrium constant in terms of pressure

    Given: ΔG° = 2.60 kJ/mol

    Solution: ΔG° = – RTlnKp

    Therefore, Kp for the reaction, H2 (g) + I2 (g) ⇄ 2HI (g) is 0.35 .

  • What is Gibb’s free energy?

    What is Gibb’s free energy?

    The concept of Gibbs free energy was developed by the American scientist Josiah Willard Gibbs. Initially, he termed it “available energy” to evaluate the spontaneity of chemical reactions in relation to change in entropy and enthalpy within the system. We denote Gibbs free energy by symbol “G”.

    Moreover, this energy is a state function, which means that it depends solely on the system’s current condition and is independent of the pathway taken to reach that condition.

    Formula

    Gibbs free energy is defined as the difference between the system’s enthalpy and the product of the temperature and the system’s entropy.

    G = H -TS

    Where,

    G = Gibbs free energy

    H = Enthalpy

    T = Temperature

    S = Entropy

    Gibbs Free Energy Change

    It is a thermodynamical quantity that gives the free energy at standard experimental conditions. As a result, to name the energy of a thermodynamic system as standard free energy, the reactants and products of that system should be at the standard conditions.

    ΔG = ΔH – TΔS

    Where, ΔG = Gibbs free energy change

    ΔH = Enthalpy change

    T = Temperature (in Kelvin)

    ΔS = Entropy change

    Gibbs free energy change and spontaneity

    This energy is utilized to determine whether a reaction is spontaneous, non-spontaneous, or at equilibrium.

    To proceed, we will apply ΔG formula to calculate the desired value of ΔG:

    ΔG = ΔH – TΔS

    Therefore, by determining ΔG, we can classify the process as spontaneous, non-spontaneous, or at equilibrium, based on the provided table.

    ΔGInterpretation
    ΔG>0Reaction is non – spontaneous
    (reaction is endergonic)
    ΔG<0Reaction is spontaneous (reaction is exergonic)
    ΔG=0The system is at equilibrium (there is no net change either in forward or reverse direction)

    Effects of delta H, delta S and T on spontaneity

    CaseΔHΔSΔGSpontaneity (yes/No)
    I+++(at low T)
    -(at high T)
    No (at low T)
    Yes (at high T)
    II++ (at all T)No
    III+– (at all T)Yes
    IV– (at low T)
    + (at high T)
    Yes (at low T)
    No (at high T)

    Example:

    Using the values of ΔH and ΔS, predict which of the following reactions will be spontaneous at 25°C:

    Reaction A: ΔH = 10.5 kJ/mol, ΔS = 30 J/K·mol

    If the reaction is non-spontaneous at 25°C, determine the temperature at which it may become spontaneous.

    Solution

    Interpretation: A spontaneous reaction is one that releases energy, and so the sign of ΔG must be negative. Change in free energy ΔG is defined as, ΔG = ΔH – TΔS .

    We have given the reaction with specific ΔH and ΔS values at a particular temperature, we will calculate the ΔG value using the formula provided. Subsequently, this will enable us to determine the spontaneity of the reaction.

    Reaction A: ΔH =10.5 kJ/mol , ΔS = 30 J/K.mol ,

    Temperature = 25 +273 = 298

    ΔG = ΔH – TΔS

    Since ΔG is positive, Reaction A is non-spontaneous. However, the reaction can become spontaneous when the temperature exceeds 25°C, as ΔG may become negative at that temperature, indicating spontaneity.

    Standard state free energy change for a reaction

    The standard free energy change for a reaction, represented by ΔG°rxn, is defined as the difference in the standard free energies of formation between the products and reactants. Therefore, it serves as an indicator of the reaction’s spontaneity under standard conditions.

    We can calculate standard free energy change by using the following formula:

    Where , ΔG°rxn = Standard entropy change for reaction

    n = stoichiometry coefficient for product

    m =stoichiometry coefficient for reactant

    = sum of

    Example: For reaction :

    In order to find ΔG°rxn , we will use this formula:

    Therefore, ΔG°rxn for the reaction  is 2 Mg (s) + O2 (g) → 2 MgO(s) is 1139 kJ/mol.

    Relation between Gibbs free energy (delta G) and Equilibrium constant (K)

    Let’s consider the following reversible reaction as

    A + B  ⇌  C + D

    The relation between delta G and equilibrium constant for the given reaction as:

    ΔG=ΔG°+RTlnQ

    Where, ΔG = Free energy

    ΔG° = Change in standard free energy

    R = ideal gas constant ( 8.314 J/mol.K)

    T = Absolute temperature in Kelvin

    Q = reaction Quotient

    At Equilibrium ΔG = 0, Q = Keq

    [ Keq for above reaction is :

    So, the relation at equilibrium is:

    0 = ΔG° + RT ln Keq

    ΔG° = – RT ln Keq

    Consequently, The equation  ΔG° = – RT ln Keq , describes the relation between ΔG°(standard free energy change) and Keq (Equilibrium constant). Specifically, R = Gas Constant and T = Absolute Temperature.

    In chemistry, this equation is a fundamental relation in thermodynamics, as it allows us to determine the equilibrium constant of a reaction when the change in standard free energy is known, and vice versa.