**Title: Understanding Specific Heat: Cp vs Cv****Question: Which of the following is greater in magnitude for a given gas, Cp or Cv?****Explanation: Using the forms of energy included in the first law of thermodynamics, explain why Cp & Cv are different.****Definitions:**- **Cp** is the specific heat at constant pressure.- **Cv** is the specific heat at constant volume.**Answer:**The specific heat at constant pressure (Cp) is generally greater in magnitude than the specific heat at constant volume (Cv).**Detailed Explanation:**To understand why Cp is greater than Cv, we need to consider the forms of energy and the first law of thermodynamics.1. **First Law of Thermodynamics:** - The first law of thermodynamics states that the change in internal energy (ΔU) of a system is equal to the heat added to the system (Q) minus the work done by the system (W): \[ \Delta U = Q - W \]2. **At Constant Volume (Cv):** - When the volume is constant, no work is done by the gas (W = 0), meaning all the heat added goes into changing the internal energy. \[ \Delta U = Q_v \]3. **At Constant Pressure (Cp):** - When the pressure is constant, the gas can expand and do work (W = PΔV). The heat added to the system is used both for doing work and for changing the internal energy. \[ Q_p = \Delta U + P\Delta V \] - Since work (PΔV) is required to keep the pressure constant, additional heat is needed compared to the constant volume scenario.Therefore, more energy (heat) is required to raise the temperature of the gas at constant pressure than at constant volume, making Cp greater than Cv.

The specific heat capacity at the constant pressure Cp is greater than specific heat capacity at…

Which of the following is greater in magnitude for a given gas, Cp or Cv? Using the forms of energy included in the first law of thermodynamics, explain why Cp & Cv are different. Cp is specific heat at constant pressure Cv is specific heat at constant volume

Which of the following is greater in magnitude for a given gas, Cp or Cv? Using the forms of energy included in the first law of thermodynamics, explain why Cp & Cv are different. Cp is specific heat at constant pressure Cv is specific heat at constant volume

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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