ALEKS: Calculating heat of reaction from constant-pressure calorimetry data

Roxi Hulet
13 Oct 202311:49
EducationalLearning
32 Likes 10 Comments

TLDRThis video tutorial guides viewers on solving the 'calculating heat of reaction' problem using constant pressure calorimetry data. It explains how to determine if a reaction is exothermic or endothermic by observing temperature changes, calculate the absolute heat involved, and compute the reaction enthalpy per mole of a substance like KCl. The process involves using specific heat equations and emphasizes the importance of accurate calculations.

Takeaways
  • 📚 The video is a tutorial on solving a chemistry problem involving calculating the heat of reaction from constant pressure calorimetry data.
  • 🔍 The problem involves a substance, KCl in the example, and requires looking up its molecular weight, which is 74.5 g/mol for KCl.
  • 🧪 The substance is dissolved in a given mass of water, which is 200 g in the example, and temperature changes are crucial for solving the problem.
  • ⏰ Time is not a factor in this problem, so it should not be considered in the calculations.
  • 🌡 The temperature change indicates whether the reaction is exothermic (temperature rises) or endothermic (temperature falls).
  • 🔢 The first question asks to determine if the reaction is exothermic, endothermic, or neither, based on the temperature change.
  • ♨️ The second part of the problem requires calculating the amount of heat released or absorbed, which should be reported as an absolute value.
  • 🔄 The formula Q = mcΔT is used for the calculation, where Q is the heat, m is the mass of the solution, c is the specific heat capacity of water, and ΔT is the temperature change.
  • 🌡️ The specific heat capacity of water is given as 4.184 J/g°C, and the mass of the solution includes both the water and the dissolved substance.
  • 🔢 The final temperature minus the initial temperature gives the temperature change (ΔT), which is used in the heat calculation.
  • 📉 The calculated heat value should be converted to kilojoules (kJ) and rounded to two significant figures for the final answer.
  • 🧪 The last part of the problem asks for the reaction enthalpy per mole of the substance, which is calculated by dividing the total heat in kJ by the moles of the substance.
Q & A
  • What is the main topic of the video?

    -The video is about solving the Alex problem, which involves calculating the heat of reaction from constant pressure calorimetry data.

  • What is the significance of the molecular weight of the substance in the problem?

    -The molecular weight of the substance, such as KCl in the example, is needed to calculate the moles of the substance, which is essential for determining the reaction enthalpy per mole.

  • Why is the mass of water important in this problem?

    -The mass of water is crucial because it is used in the calculation of the heat (q) using the specific heat capacity of water, which is a primary factor in the q = smΔT equation.

  • What does the temperature change indicate about the reaction type?

    -A temperature increase indicates an exothermic reaction, while a decrease indicates an endothermic reaction. The direction of the temperature change helps determine whether heat is being released or absorbed.

  • Why is the time factor not considered in this problem?

    -The time factor is not relevant to the calculations in this problem because the focus is on the heat transfer due to the temperature change, not the rate of the reaction.

  • What is the formula used to calculate the heat (q) in the problem?

    -The formula used to calculate the heat is q = smΔT, where s is the specific heat capacity, m is the mass, and ΔT is the temperature change.

  • What is the specific heat capacity of water used in the video?

    -The specific heat capacity of water used in the video is 4.184 Joules per gram per degree Celsius (J/g°C).

  • How should the calculated heat be presented according to the problem's instructions?

    -The calculated heat should be presented as an absolute value, meaning it should always be a positive number regardless of whether heat is being released or absorbed.

  • What is the purpose of calculating the reaction enthalpy per mole of KCl?

    -Calculating the reaction enthalpy per mole of KCl provides a measure of the energy change per unit of the substance involved in the reaction, which is useful for understanding the thermodynamics of the reaction.

  • How is the sign of the reaction enthalpy (ΔH) determined?

    -The sign of ΔH is determined by the type of reaction: a positive value for endothermic reactions (where heat is absorbed) and a negative value for exothermic reactions (where heat is released).

  • What is the final step in solving the problem according to the video?

    -The final step is to calculate the reaction enthalpy per mole of KCl by dividing the calculated heat (in kJ) by the moles of KCl, and ensuring the correct sign is applied based on whether the reaction is exothermic or endothermic.

Outlines
00:00
🔍 Solving the Alex Problem: Heat of Reaction

The video introduces a complex problem called 'calculating heat of reaction from constant pressure calorimetry data'. The presenter acknowledges the problem's daunting nature due to its length and complexity but assures viewers that it can be solved. The problem involves determining whether a reaction is exothermic or endothermic based on temperature changes and calculating the amount of heat involved. The substance in question is KCl, with a molecular weight of 74.5 g/mol, which will be dissolved in 200 g of water. The temperature change from 21°C to 17.9°C is crucial for solving the problem. The presenter emphasizes that time is irrelevant and that the balanced equation might not be necessary. The main questions are to determine the reaction type (exothermic or endothermic) and to calculate the heat released or absorbed, focusing on the absolute value.

05:01
📚 Calculating Heat with Q=mcΔT

The presenter explains the method to calculate the heat involved in the reaction using the equation Q = mcΔT, where Q is the heat, m is the mass, c is the specific heat capacity of water (4.184 J/g°C), and ΔT is the temperature change. The mass includes both the substance (KCl in this case) and the water. The temperature change is calculated by subtracting the initial temperature from the final temperature. The presenter uses an example with 12 g of KCl and 200 g of water, resulting in a temperature change from 21°C to 17.9°C. The calculation yields a negative value, but due to the problem's wording, the answer is taken as a positive value, 27497 J. This value is then converted to kilojoules (kJ), resulting in 2.7 kJ, and rounded to two significant digits.

10:01
🔢 Determining Reaction Enthalpy per Mole of KCl

The final part of the problem involves calculating the reaction enthalpy per mole of KCl. The presenter uses the previously calculated heat in kilojoules and divides it by the moles of KCl. The mass of KCl is converted to moles using its molecular weight (74.5 g/mol), resulting in 0.161 moles for 12 g of KCl. The division yields a value of 17 kJ/mol. The sign of this value depends on whether the reaction is determined to be exothermic or endothermic in the initial part of the problem. If the reaction is endothermic, ΔH will be positive; if exothermic, ΔH will be negative. The presenter stresses the importance of correctly identifying the reaction type to determine the correct sign for ΔH.

Mindmap
Keywords
💡Calorimetry
Calorimetry is the scientific measurement of the heat of chemical reactions or physical changes as well as the temperature of a system. In the context of the video, it is the method used to determine the heat of reaction from constant pressure data. The script mentions using calorimetry to calculate the heat involved in dissolving a substance like KCl in water and observing the temperature change.
💡Molecular Weight
Molecular weight is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is essential in chemistry for performing stoichiometric calculations. The video script refers to the molecular weight of KCl (74.5 g/mol) as a necessary value for determining the amount of substance involved in the reaction.
💡Endothermic
An endothermic process is one that absorbs heat from its surroundings, causing the temperature to decrease. The video explains how to identify an endothermic reaction by observing a temperature drop, as seen when KCl is dissolved in water and the temperature falls from 21°C to 17.9°C.
💡Exothermic
Exothermic reactions release heat into the surroundings, resulting in an increase in temperature. The video contrasts exothermic processes with endothermic ones, noting that if the temperature were to rise, the reaction would be exothermic, which is not the case in the example provided.
💡Specific Heat
Specific heat capacity, often referred to simply as specific heat, is the amount of heat required to raise the temperature of one gram of a substance by one degree Celsius. The script uses the specific heat of water (4.184 J/g°C) in the calculation of the heat absorbed or released during the reaction.
💡Temperature Change (ΔT)
ΔT, or delta T, represents the change in temperature, calculated as the final temperature minus the initial temperature. The script emphasizes the importance of ΔT in determining whether the reaction is endothermic or exothermic and in calculating the heat involved in the process.
💡Heat Calculation
The script describes the process of calculating heat (q) using the equation q = mcΔT, where m is the mass of the substance, c is the specific heat, and ΔT is the temperature change. This formula is central to understanding how much heat is absorbed or released during the reaction.
💡Reaction Enthalpy
Reaction enthalpy, or ΔH, is the heat change associated with a chemical reaction at constant pressure. The video script guides the viewer on how to calculate the reaction enthalpy per mole of a substance, in this case, KCl, using the heat calculated and the moles of the substance.
💡Moles
Moles are a unit of measurement used in chemistry to express amounts of a chemical substance, based on Avogadro's number. The script explains the conversion from grams to moles, which is necessary to calculate the reaction enthalpy per mole of KCl.
💡Significant Figures
Significant figures are the digits in a number that carry meaning contributing to its precision. The video script mentions the need for answers to be expressed with two significant figures, emphasizing precision in reporting the calculated values.
💡Absolute Value
The absolute value of a number is the non-negative value of the number without regard to its sign. The script specifies that the heat calculated should be reported as a positive value, regardless of whether the reaction is endothermic or exothermic, due to the problem's wording.
Highlights

The video demonstrates how to solve the Alex problem involving calculating heat of reaction from constant pressure calorimetry data.

The problem appears overwhelming due to its complexity and the number of questions it asks.

The calculations involved in the problem are somewhat intense but manageable.

Different versions of the problem are structured similarly, allowing for a consistent approach to solving them.

The mass of a substance, such as KCl, is provided, and its molecular weight needs to be looked up or calculated.

The substance is dissolved in a specified amount of water, which in the example is 200 g.

Temperature changes are crucial to the problem, with the example showing a drop from 21°C to 17.9°C.

The direction of temperature change indicates whether the reaction is exothermic or endothermic.

Time is not a factor in this problem, and it should not be considered.

A balanced equation may be provided but is not necessarily needed for solving the problem.

The problem asks whether the reaction is exothermic, endothermic, or neither, with the latter not being an option.

The temperature change helps determine if the reaction is releasing or absorbing heat.

The problem requires calculating the amount of heat released or absorbed, with the emphasis on the absolute value.

The Qsm equation (q = mcΔT) is used to calculate the heat, where q is the heat, m is the mass, c is the specific heat, and ΔT is the temperature change.

The specific heat of water is given as 4.184 J/g°C, and the mass includes both the water and the substance.

The temperature change is calculated by subtracting the initial temperature from the final temperature.

The calculated heat value should be expressed as a positive number, regardless of whether heat is released or absorbed.

The final step is to calculate the reaction enthalpy per mole of KCl, using the formula ΔH = q / moles of KCl.

The moles of KCl are calculated by dividing the mass of KCl by its molecular weight.

The sign of ΔH depends on whether the reaction is endothermic (positive) or exothermic (negative), based on the temperature change.

Transcripts
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