Determine the specific heat capacity Cp of a mixture of argon and nitrogen

To determine the specific heat capacity Ср of a mixture of argon and nitrogen at their mass fractions equal to 0.5, it is necessary to use the following formula:

Cр = (C1 x w1 + C2 x w2) / (w1 + w2)

where C1 and C2 are the specific heat capacities of argon and nitrogen, respectively, w1 and w2 are the mass fractions of argon and nitrogen, respectively.

To solve the problem, it is necessary to know the specific heat capacities of argon and nitrogen at constant pressure. From the table of physical quantities you can get the following values:

C1 = 0.52 kJ / (kg x K) C2 = 1.04 kJ / (kg x K)

Substituting these values ​​and mass fractions into the formula, we get:

Cр = (0.52 x 0.5 + 1.04 x 0.5) / (0.5 + 0.5) = 0.78 kJ / (kg x K)

Thus, the specific heat capacity Cp of a mixture of argon and nitrogen at mass fractions equal to 0.5 is equal to 0.78 kJ / (kg x K).

Task 20265 solved.

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Digital product: Determination of the specific heat capacity Cp of a mixture of argon and nitrogen

This digital product is a solution to the problem of determining the specific heat capacity Cp of a mixture of argon and nitrogen at mass fractions equal to 0.5.

The solution to the problem includes:

• Detailed description of the problem condition
• Formulas and laws used
• Derivation of the calculation formula
• Solving the problem with step-by-step explanation
• Answer to the problem

This digital product is intended for students and teachers studying physics and thermodynamics. It can be used for self-study, preparing for exams and doing homework.

The beautiful html design of this product creates a pleasant visual effect and makes the material easier to perceive.

This digital product is a solution to the problem of determining the specific heat capacity Cp of a mixture of argon and nitrogen at mass fractions equal to 0.5.

To solve the problem you must use the following formula:

Cр = (C1 x w1 + C2 x w2) / (w1 + w2)

where C1 and C2 are the specific heat capacities of argon and nitrogen, respectively, w1 and w2 are the mass fractions of argon and nitrogen, respectively.

For this problem, the following values ​​can be obtained from the table of physical quantities:

C1 = 0.52 kJ/(kg x K) C2 = 1.04 kJ/(kg x K)

Substituting these values ​​and mass fractions into the formula, we get:

Cр = (0.52 x 0.5 + 1.04 x 0.5) / (0.5 + 0.5) = 0.78 kJ / (kg x K)

Thus, the specific heat capacity Cp of a mixture of argon and nitrogen at mass fractions equal to 0.5 is equal to 0.78 kJ / (kg x K).

This digital product can be used for self-study, preparing for exams and doing homework in physics and thermodynamics. Beautiful html design of the product creates a pleasant visual effect and makes the material easier to perceive. If you have any questions about solving this problem, do not hesitate to ask for help.

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To solve this problem, we can use the formula for calculating the specific heat capacity of a mixture of gases:

Cp(mixture) = Σ(xi * Cp,i)

where xi is the mole fraction of the i-th component in the mixture, Cp,i is the specific heat capacity of the i-th component at constant pressure.

Since in our case the mass fractions of argon and nitrogen are equal to 0.5, the mole fractions will also be equal to 0.5. From the tables it is known that the specific heat capacities of argon and nitrogen at constant pressure are equal to 0.52 and 0.75 kJ/(kg*K), respectively.

Then the specific heat capacity of the mixture will be equal to:

Cp(mixture) = (0.5 * 0.52) + (0.5 * 0.75) = 0.635 kJ/(kg*K)

Thus, the specific heat capacity of a mixture of argon and nitrogen with equal mass fractions and equal volume fractions will be equal to 0.635 kJ/(kg*K).

Specific heat capacity Cp is an important characteristic for mixtures of gases such as argon and nitrogen. It is defined as the amount of heat required to raise the temperature of a unit mass of a mixture by one degree Celsius at constant pressure.

To determine the specific heat capacity Cp of a mixture of argon and nitrogen, it is necessary to know their mass fractions and heat capacities at a constant volume Cv. For a mixture of gases, you can use the formula:

Ср = (Cv1 + Cv2) * x1 * x2 / (x1 * Cv2 + x2 * Cv1)

where Cv1 and Cv2 are the heat capacities of argon and nitrogen at constant volume, respectively, x1 and x2 are the mass fractions of argon and nitrogen in the mixture.

Thus, knowing the mass fractions and heat capacities at a constant volume of argon and nitrogen, it is possible to determine the specific heat Cp of a mixture of these gases.

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