A pipe flows 1.5 lbm / s of a mixture with mass fractions of 40 % CO2 and 60 % N2 at 60 lbf/in.

Name: Problem 145, Chapter 12: Fundamentals of Thermodynamics
Uploaded: 2020-09-10T13:56:12-08:00
Duration: 1 min 49 s
Channel: Sarah Mccrumb
Description: A pipe flows 1.5 lbm / s of a mixture with mass fractions of 40 % CO2 and 60 % N2 at 60 lbf/in. , 540 R. Heating tape is wrapped around a section of pipe with insulation added, and 2 Btu/s electrical power is heating the pipe flow. Find the mixture exit temperature.

step 1 Hi, everybody. So we can find the mixture exit temperature. So the energy equation has no heat l

Question

A pipe flows $1.5 \mathrm{lbm} / \mathrm{s}$ of a mixture with mass fractions of $40 \% \mathrm{CO}_{2}$ and $60 \% \mathrm{N}_{2}$ at 60 lbf/in. $, 540$ R. Heating tape is wrapped around a section of pipe with insulation added, and 2 Btu/s electrical power is heating the pipe flow. Find the mixture exit temperature.

   A pipe flows $1.5 \mathrm{lbm} / \mathrm{s}$ of a mixture with mass fractions of $40 \% \mathrm{CO}_{2}$ and $60 \% \mathrm{N}_{2}$ at 60 lbf/in. $, 540$ R. Heating tape is wrapped around a section of pipe with insulation added, and 2 Btu/s electrical power is heating the pipe flow. Find the mixture exit temperature.

Fundamentals of Thermodynamics

Richard E. Sonntag,… 6th Edition

Chapter 12, Problem 145

Instant Answer

Solved by Expert Sarah Mccrumb

09/10/2020

Step 1

This is done by taking the mass fractions of each component and multiplying them by their respective Cp values, then adding them together. For CO2, the Cp is 0.21 Btu/lbm R and for N2, the Cp is 0.249 Btu/lbm R. So, the Cp for the mixture is: \[Cp_{mixture} = 0.4 Show more…

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A pipe flows $1.5 \mathrm{lbm} / \mathrm{s}$ of a mixture with mass fractions of $40 \% \mathrm{CO}_{2}$ and $60 \% \mathrm{N}_{2}$ at 60 lbf/in. $, 540$ R. Heating tape is wrapped around a section of pipe with insulation added, and 2 Btu/s electrical power is heating the pipe flow. Find the mixture exit temperature.

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Key Concepts

Energy Balance for Steady-Flow Systems

This concept involves applying the first law of thermodynamics to an open system where mass flows continuously. The energy added to the system (via heat or work) results in a corresponding change in the enthalpy of the fluid. For problems involving a known rate of energy addition and mass flow rate, the temperature change of the fluid can be determined using the relation Q = m * Cp * ?T.

Specific Heat Capacity of a Gas Mixture

Specific heat capacity is a measure of the energy required to raise the temperature of a unit mass of a substance by one degree. In a gas mixture, the overall specific heat is determined by the individual contributions of each component weighted by their mass or mole fractions. Accurate knowledge of the specific heat capacity of the mixture is essential for converting an increase in thermal energy into a rise in temperature.

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