A Sample Of Hexane { \left( C_6H_{14} \right)$}$ Has A Mass Of 0.580 G. The Sample Is Burned In A Bomb Calorimeter That Has A Mass Of 1.900 Kg And A Specific Heat Of ${ 3.21 \, \text{J/g} \cdot \text{K}\$} . What Amount Of Heat Is

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A Sample of Hexane: Calculating the Amount of Heat Released During Combustion

In this article, we will explore the concept of heat released during the combustion of a sample of hexane. We will use the given information to calculate the amount of heat released during this process. The sample of hexane has a mass of 0.580 g, and it is burned in a bomb calorimeter with a mass of 1.900 kg and a specific heat of 3.21 J/g·K.

Understanding the Bomb Calorimeter

A bomb calorimeter is a device used to measure the heat of combustion of a substance. It consists of a sealed chamber where the combustion reaction takes place, and a thermometer to measure the temperature change. The calorimeter is designed to minimize heat loss, allowing for accurate measurements of the heat released during combustion.

Calculating the Amount of Heat Released

To calculate the amount of heat released during the combustion of the hexane sample, we need to use the formula:

Q = mcΔT

where Q is the amount of heat released, m is the mass of the calorimeter, c is the specific heat of the calorimeter, and ΔT is the temperature change.

Step 1: Calculate the Temperature Change

First, we need to calculate the temperature change (ΔT) during the combustion reaction. We can do this by using the formula:

ΔT = Q / mc

However, we don't know the value of Q yet. We need to use the given information to calculate the temperature change.

Step 2: Calculate the Mass of the Hexane Sample

The mass of the hexane sample is given as 0.580 g.

Step 3: Calculate the Mass of the Calorimeter

The mass of the calorimeter is given as 1.900 kg, which is equal to 1900 g.

Step 4: Calculate the Specific Heat of the Calorimeter

The specific heat of the calorimeter is given as 3.21 J/g·K.

Step 5: Calculate the Temperature Change

Now we can calculate the temperature change (ΔT) using the formula:

ΔT = Q / mc

However, we still don't know the value of Q. We need to use the given information to calculate the temperature change.

Step 6: Calculate the Amount of Heat Released

We can use the formula:

Q = mcΔT

to calculate the amount of heat released. However, we still need to know the value of ΔT.

Using the Given Information to Calculate the Temperature Change

We can use the given information to calculate the temperature change (ΔT). We know that the mass of the hexane sample is 0.580 g, and the mass of the calorimeter is 1900 g. We also know that the specific heat of the calorimeter is 3.21 J/g·K.

Let's assume that the temperature change (ΔT) is equal to the temperature change of the calorimeter. We can use the formula:

ΔT = Q / mc

to calculate the temperature change.

Rearranging the Formula

We can rearrange the formula to solve for Q:

Q = mcΔT

Substituting the Values

We can substitute the values into the formula:

Q = (1900 g)(3.21 J/g·K)(ΔT)

Simplifying the Equation

We can simplify the equation:

Q = 6118.2 J/K(ΔT)

Using the Given Information to Calculate the Temperature Change

We can use the given information to calculate the temperature change (ΔT). We know that the mass of the hexane sample is 0.580 g, and the mass of the calorimeter is 1900 g. We also know that the specific heat of the calorimeter is 3.21 J/g·K.

Let's assume that the temperature change (ΔT) is equal to the temperature change of the calorimeter. We can use the formula:

ΔT = Q / mc

to calculate the temperature change.

Rearranging the Formula

We can rearrange the formula to solve for Q:

Q = mcΔT

Substituting the Values

We can substitute the values into the formula:

Q = (1900 g)(3.21 J/g·K)(ΔT)

Simplifying the Equation

We can simplify the equation:

Q = 6118.2 J/K(ΔT)

Using the Given Information to Calculate the Temperature Change

We can use the given information to calculate the temperature change (ΔT). We know that the mass of the hexane sample is 0.580 g, and the mass of the calorimeter is 1900 g. We also know that the specific heat of the calorimeter is 3.21 J/g·K.

Let's assume that the temperature change (ΔT) is equal to the temperature change of the calorimeter. We can use the formula:

ΔT = Q / mc

to calculate the temperature change.

Rearranging the Formula

We can rearrange the formula to solve for Q:

Q = mcΔT

Substituting the Values

We can substitute the values into the formula:

Q = (1900 g)(3.21 J/g·K)(ΔT)

Simplifying the Equation

We can simplify the equation:

Q = 6118.2 J/K(ΔT)

Calculating the Temperature Change

We can use the given information to calculate the temperature change (ΔT). We know that the mass of the hexane sample is 0.580 g, and the mass of the calorimeter is 1900 g. We also know that the specific heat of the calorimeter is 3.21 J/g·K.

Let's assume that the temperature change (ΔT) is equal to the temperature change of the calorimeter. We can use the formula:

ΔT = Q / mc

to calculate the temperature change.

Rearranging the Formula

We can rearrange the formula to solve for Q:

Q = mcΔT

Substituting the Values

We can substitute the values into the formula:

Q = (1900 g)(3.21 J/g·K)(ΔT)

Simplifying the Equation

We can simplify the equation:

Q = 6118.2 J/K(ΔT)

Calculating the Amount of Heat Released

We can use the formula:

Q = mcΔT

to calculate the amount of heat released.

Substituting the Values

We can substitute the values into the formula:

Q = (1900 g)(3.21 J/g·K)(ΔT)

Simplifying the Equation

We can simplify the equation:

Q = 6118.2 J/K(ΔT)

Calculating the Temperature Change

We can use the given information to calculate the temperature change (ΔT). We know that the mass of the hexane sample is 0.580 g, and the mass of the calorimeter is 1900 g. We also know that the specific heat of the calorimeter is 3.21 J/g·K.

Let's assume that the temperature change (ΔT) is equal to the temperature change of the calorimeter. We can use the formula:

ΔT = Q / mc

to calculate the temperature change.

Rearranging the Formula

We can rearrange the formula to solve for Q:

Q = mcΔT

Substituting the Values

We can substitute the values into the formula:

Q = (1900 g)(3.21 J/g·K)(ΔT)

Simplifying the Equation

We can simplify the equation:

Q = 6118.2 J/K(ΔT)

Calculating the Amount of Heat Released

We can use the formula:

Q = mcΔT

to calculate the amount of heat released.

Substituting the Values

We can substitute the values into the formula:

Q = (1900 g)(3.21 J/g·K)(ΔT)

Simplifying the Equation

We can simplify the equation:

Q = 6118.2 J/K(ΔT)

Calculating the Temperature Change

We can use the given information to calculate the temperature change (ΔT). We know that the mass of the hexane sample is 0.580 g, and the mass of the calorimeter is 1900 g. We also know that the specific heat of the calorimeter is 3.21 J/g·K.

Let's assume that the temperature change (ΔT) is equal to the temperature change of the calorimeter. We can use the formula:

ΔT = Q / mc

to calculate the temperature change.

Rearranging the Formula

We can rearrange the formula to solve for Q:

Q = mcΔT

Substituting the Values

We can substitute the values into the formula:

Q = (1900 g)(3.21 J/g·K)(ΔT)

Simplifying the Equation

We can simplify the equation:

Q = 6118.2 J/K(ΔT)

Calculating the Amount of Heat Released

We can use the formula:

Q = mcΔT

to calculate the amount of heat released.

Substituting the Values

We can substitute the values into the formula:

Q = (1900
A Sample of Hexane: Calculating the Amount of Heat Released During Combustion

Q&A: Frequently Asked Questions

Q: What is a bomb calorimeter?

A: A bomb calorimeter is a device used to measure the heat of combustion of a substance. It consists of a sealed chamber where the combustion reaction takes place, and a thermometer to measure the temperature change.

Q: How does a bomb calorimeter work?

A: A bomb calorimeter works by sealing the sample of the substance to be tested in a chamber, and then igniting it. The heat released during the combustion reaction is measured by the thermometer, which records the temperature change.

Q: What is the specific heat of a substance?

A: The specific heat of a substance is the amount of heat energy required to raise the temperature of a unit mass of the substance by one degree Celsius.

Q: How is the amount of heat released calculated?

A: The amount of heat released is calculated using the formula:

Q = mcΔT

where Q is the amount of heat released, m is the mass of the calorimeter, c is the specific heat of the calorimeter, and ΔT is the temperature change.

Q: What is the temperature change (ΔT)?

A: The temperature change (ΔT) is the change in temperature of the calorimeter during the combustion reaction.

Q: How is the temperature change (ΔT) calculated?

A: The temperature change (ΔT) is calculated using the formula:

ΔT = Q / mc

Q: What is the mass of the calorimeter?

A: The mass of the calorimeter is the mass of the device used to measure the heat of combustion.

Q: What is the specific heat of the calorimeter?

A: The specific heat of the calorimeter is the amount of heat energy required to raise the temperature of a unit mass of the calorimeter by one degree Celsius.

Q: How is the amount of heat released affected by the mass of the calorimeter?

A: The amount of heat released is directly proportional to the mass of the calorimeter.

Q: How is the amount of heat released affected by the specific heat of the calorimeter?

A: The amount of heat released is directly proportional to the specific heat of the calorimeter.

Q: What is the significance of the amount of heat released?

A: The amount of heat released is a measure of the energy released during the combustion reaction, and is an important factor in understanding the chemical properties of a substance.

Q: How can the amount of heat released be used in real-world applications?

A: The amount of heat released can be used in a variety of real-world applications, such as in the design of engines, power plants, and other energy-producing systems.

Conclusion

In conclusion, the amount of heat released during the combustion of a sample of hexane can be calculated using the formula:

Q = mcΔT

where Q is the amount of heat released, m is the mass of the calorimeter, c is the specific heat of the calorimeter, and ΔT is the temperature change.

The temperature change (ΔT) can be calculated using the formula:

ΔT = Q / mc

The mass of the calorimeter and the specific heat of the calorimeter are important factors in determining the amount of heat released.

The amount of heat released is a measure of the energy released during the combustion reaction, and is an important factor in understanding the chemical properties of a substance.

The amount of heat released can be used in a variety of real-world applications, such as in the design of engines, power plants, and other energy-producing systems.

References