**Problem Statement:**A certain ideal gas has the following properties:- Molecular Mass, \( M = 24.943416 \, \text{kg} / \text{kmole} \)- \( C_{V_0} = 1.000 \, \text{kJ} / \left( \text{K} \cdot \text{kg} \right) \)Determine \( C_{p_0} \) in \( \text{kJ} / \left( \text{K} \cdot \text{kg} \right) \).**Explanation:**This problem asks us to determine the specific heat capacity at constant pressure (\( C_{p_0} \)) for a given ideal gas based on its molecular mass and specific heat capacity at constant volume (\( C_{V_0} \)). The given molecular mass is \( 24.943416 \, \text{kg} / \text{kmole} \), and the given specific heat capacity at constant volume is \( 1.000 \, \text{kJ} / \left( \text{K} \cdot \text{kg} \right) \).To solve this problem, we can use the following relation for an ideal gas:\[ C_p = C_V + R \]Where:- \( R \) is the specific gas constant.The specific gas constant \( R \) for a gas is given by the universal gas constant \( \hat{R} \) divided by the molar mass \( M \) of the gas:\[ R = \frac{\hat{R}}{M} \]Given:- Universal gas constant, \( \hat{R} = 8.314 \, \text{kJ} / \left( \text{K} \cdot \text{kmole} \right) \)- Molecular mass, \( M = 24.943416 \, \text{kg} / \text{kmole} \)- \( C_{V_0} = 1.000 \, \text{kJ} / \left( \text{K} \cdot \text{kg} \right) \)Using these values, we can determine the specific gas constant \( R \):\[ R = \frac{8.314 \, \text{kJ} / \left( \text{K}

It is very basic question of thermodynamics. Used concept is Mayer's law

Answered: A certain ideal gas has the following…

A certain ideal gas has the following properties: Molecular Mass, M = 24.943416 kg/kmole and Cvo = 1.000 kJ/ºK/kg. Determine Cpo in kJ / °K / kg.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. There are various mechanisms by which, transfer of heat takes place i.e. thermal conduction, convection, radiation or by change of phase. All these mechanisms have their own specific features which sometimes occur simultaneously within the same system.

Question

**Problem Statement:**

A certain ideal gas has the following properties:

- Molecular Mass, \( M = 24.943416 \, \text{kg} / \text{kmole} \)
- \( C_{V_0} = 1.000 \, \text{kJ} / \left( \text{K} \cdot \text{kg} \right) \)

Determine \( C_{p_0} \) in \( \text{kJ} / \left( \text{K} \cdot \text{kg} \right) \).

**Explanation:**

This problem asks us to determine the specific heat capacity at constant pressure (\( C_{p_0} \)) for a given ideal gas based on its molecular mass and specific heat capacity at constant volume (\( C_{V_0} \)). The given molecular mass is \( 24.943416 \, \text{kg} / \text{kmole} \), and the given specific heat capacity at constant volume is \( 1.000 \, \text{kJ} / \left( \text{K} \cdot \text{kg} \right) \).

To solve this problem, we can use the following relation for an ideal gas:

\[ C_p = C_V + R \]

Where:
- \( R \) is the specific gas constant.

The specific gas constant \( R \) for a gas is given by the universal gas constant \( \hat{R} \) divided by the molar mass \( M \) of the gas:

\[ R = \frac{\hat{R}}{M} \]

Given:
- Universal gas constant, \( \hat{R} = 8.314 \, \text{kJ} / \left( \text{K} \cdot \text{kmole} \right) \)
- Molecular mass, \( M = 24.943416 \, \text{kg} / \text{kmole} \)
- \( C_{V_0} = 1.000 \, \text{kJ} / \left( \text{K} \cdot \text{kg} \right) \)

Using these values, we can determine the specific gas constant \( R \):

\[ R = \frac{8.314 \, \text{kJ} / \left( \text{K}

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