Tag: sensible heat

  • What is Thermochemistry?

    What is Thermochemistry?

    Thermochemistry is the branch of chemistry in which we study the heat energy involved in chemical reactions and phase changes, such as melting and boiling. For example, adding heat to ice can change its state from solid to liquid.

    Thermochemistry helps us explain how much heat is released or absorbed quantitatively.

    Thermochemical reactions are classified into two categories:

    1. Exothermic Process, and
    2. Endothermic Process

    1. Exothermic Process:

    In an exothermic process, the system releases heat energy into the surroundings, resulting in an increase in the surrounding temperature. This release of energy illustrates an exothermic process.

    Example:

    • Making ice cubes: As the temperature of the water decreases and it transitions from liquid to solid, it releases heat into the surroundings. This release of heat characterizes exothermic reactions, where the system releases energy rather than absorbing it.
    • Mixing water and strong acid: When we mix acid into water, they react vigorously, releasing heat energy into the surroundings. This release of heat conveys an exothermic reaction.

    Note: Always add acid to water, not the other way around, as adding water to acid can cause it to splash or erupt violently.

    2. Endothermic Process

    In an Endothermic process, the system absorbs heat energy from the surroundings, thus decreasing the surrounding temperature.

    Example:

    • Cooking an egg: Egg absorbs heat energy from the pan or water, causing changes to its internal structure. This transformation is what cooks the egg and is characteristic of an endothermic process, where the system absorbs energy.
    • Melting ice cubes: During melting, ice absorbs heat from the surroundings, which is characteristic of an endothermic process. In this process, the temperature of the ice stays constant at the melting point (0° C ) during the phase change from solid (Ice) to liquid(water). The temperature will only increase when the ice completely melts and we continue adding heat.

    Enthalpy of reaction: Enthalpy is used to measure the energy in a system.

    When a chemical reaction is given, we can find out the change in enthalpy by the following formula:

    ΔHrxn = ∑ΔHproducts – ∑ΔHreactants

    Where,

    ΔHproducts = Sum of total enthalpy absorbed/released by the products

    ΔHreactants = Sum of total enthalpy absorbed/released by the reactants

    We can use the above formula to identify whether the reaction is exothermic or endothermic. If ΔH reaction is positive, the reaction will be endothermic, and if ΔH is negative, the reaction will be exothermic.

    Energy

    Energy is the capacity to do work. In thermochemistry, we prioritize heat energy (the heat exchange between a system and its surroundings during phase change and chemical reactions).

    Energy Transfer

    As the term suggests, energy transfer refers to the movement of energy from one system or object to another. In thermochemistry, energy transfer specifically refers to the flow of energy, primarily in the form of heat or work, due to differences in temperature, pressure, or other conditions.

    Latent heat

    Latent heat is the heat energy necessary to change the phase of a substance or object from solid (Ice) to liquid (water), liquid (water) to vapor (gas), and vice versa when its temperature is constant.

    There are mainly two types of latent heat:

    1. Latent heat of fusion: We denote the latent heat of fusion by ‘Hf’. Latent heat of fusion is the heat energy required to melt a solid (Ice) without changing its temperature. When ice melts, only the phase changes. The temperature remains at 0° C, and the liquid water that forms with the phase change will also be at 0° C.
    2. Latent heat of vaporization: We denote latent heat of vaporization by ‘Hv‘. Latent heat of vaporization is the heat energy required to vaporize liquid(water) without changing its temperature.

    Sensible heat

    Sensible heat is the heat energy required to change the temperature of a substance without changing its phase.  This heat is the opposite of latent heat where phase changes without changing temperature.

    The formula to find sensible heat is Q = mcΔT

    Where Q = heat energy

    m= mass of substance or object

    c=specific heat

    ΔT =difference in temperatures (Tf – Ti)

    Specific heat

    It is denoted by ‘c’. Specific heat is the quantity of heat required to raise the temperature of 1 g of substance by 1 degree Celsius or 1 kelvin.

    Calorimetry

    Calorimetry measures the heat energy absorbed or released during physical or chemical changes. It involves an instrument calorimeter for monitoring and quantifying the heat exchange.

    Principle of calorimetry: When two objects or substances with different temperatures come in contact, the heat transfers from hotter objects to colder objects until they reach thermal equilibrium. Here, the Principle of calorimetry indicates the law of conservation of energy. The total heat lost by an object equals the total heat gained by the other object.

    Hess’s law

    Hess’s law states that the total enthalpy change for a reaction is the same whether the reaction takes place in one or more than one step.

    Mathematically, we express it as ΔHtotal =∑ΔHsteps

    For example:  Consider we have a reaction:  X → Y

    If we can break it into two steps:

    X → Z(ΔH1)

                                                                  Z → Y (ΔH2)

    Then, according to Hess’s law

    ΔHtotal = ΔH1 + ΔH2

  • Calculate the total heat required to convert 25.0g of ice at -10 degrees Celsius to 25.0 g of water at +10 degrees Celsius.

    Calculate the total heat required to convert 25.0g of ice at -10 degrees Celsius to 25.0 g of water at +10 degrees Celsius.

    Interpretation:

    This concept comes under Thermochemistry. This involves energy transfer and phase changes as the ice undergoes different stages—from being solid at lower temperatures to becoming liquid at higher temperatures.

    To understand how heat is involved in these changes, we need to break down the underlying processes involved in temperature change, phase change, and the heat energy required at each step.

    1. Sensible Heat and Temperature Change

    Sensible heat is the heat energy required to change the temperature of a substance without changing its phase. In this case, we heat ice from -10°C to 0°C, which means the temperature of the solid ice increases.

    The formula gives the heat required to achieve this temperature change:

    Q=m⋅c⋅ΔT

    Where:

    • Where, Q = heat energy
    • m = mass
    • c = specific heat
    • ΔT = temperature change

    Ice’s specific heat is about 2.09 J/g°C. This means that to increase the temperature of 1 gram of ice by 1°C, 2.09 joules of energy are required.

    2. Latent Heat and Phase Change (Melting Ice)

    When the ice reaches 0°C, it will melt into water. Melting is a phase change, where the substance changes from solid to liquid. This transition occurs without a temperature change but requires a specific amount of energy to break the bonds between the ice molecules.

    This energy is called latent heat (the heat required for a phase change), and for ice, it’s referred to as latent heat of fusion. The formula for latent heat is:

    Q = n ΔH

    Where, n= number of moles

    ΔH = heat of fusion or vaporization depending on phase change

    ΔH fusion= 6.02 kJ/mol

    The temperature does not change during this process instead all the energy goes into breaking the bonds between the ice molecules, allowing them to transition into liquid form.

    3. Sensible Heat in Water and Further Heating

    Once the ice melts and turns into water, we can increase the temperature of the liquid water. Heating water requires sensible heat, just as it did for the ice; however, it involves a different value for the specific heat capacity.

    Therefore, in this case, we heat the water from 0°C to 10°C. Consequently, the heat energy required for this temperature change is again calculated using:

    Q=m⋅c(water)⋅ΔT

    Where:

    • Q = heat energy
    • m = mass
    • c = specific heat
    • ΔT = temperature change
    • Cliquid= 4.21 J/g°C

    Given:

    Mass of ice =25.0 g

    Temperature of ice = -10° C

    Mass of water = 25.0 g

    Temperature of water = +10° C

    Step-by-step-solution

    Since the molar mass of ice and water is the same and the given mass is also the same, the number of moles of both will be equal.

    Step 1: To Find moles of ice:

    Molar mass =18.015 g/mol

    Moles=25.0 g x \(\frac{1mol}{18.05 g}\) = 1.388 mol ice

    Moles of ice = Moles of water =1.388 mol

    Step 2: Initially, Ice has a temperature of -10° C and it is converted to liquid water at a temperature of +10° C.

    As a result, we will calculate three different heat values.

    • Heat required for temperature change from -10° C to 0° C, i.e. Q1
    • The heat required for phase change at 0° C solid ice to liquid water, i.e. Q2
    • Heat required for a temperature change from 0° C liquid water to +10° C liquid water, i.e. Q3

    Calculation of three different heat:

    1. To find heat required for a temperature change from -10° C to 0°C (Q1): Q1=m(ice) × C(ice) × [T (final) – T(initial)]

    Q1 = 25.0 g × 2.09 J/g °C × [0° C-(-10° C)] =522 J or 0.522 kJ

    2. To find heat required for temperature change at 0° C solid ice to 0°C liquid water(Q2): Q2=n(ice) × ΔH(fusion)

    Q2= 1.388 mol × 6.02 kJ/g °C = 8.36 kJ

    3. To find heat required for a temperature change from 0 °C to +10°C (Q3): Q3=m(water) × C(water) × [T (final) – T(initial)]

    Q3= 25.0 g × 4.21 J/g °C × [10° C-(0° C)] =1052J 0r 1.05 kJ

    Step :3

    Therefore, the total heat required for the complete transition is the sum of the heat required for each individual transition step.

    Q(Total) = Q1 + Q2 + Q3

    = 0.522 kJ + 8.36 kJ + 1.05 kJ

    = 9.93 kJ

    Hence, the total heat required to convert 25.0 g of ice at – 10° C to 25.0 g of water at – 10° C is 9.93 kJ.