Answered: If you have 9 moles of a diatomic ideal…

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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If you have 9 moles of a diatomic ideal gas (such as oxygen or nitrogen), how much heat is required to raise the temperature of this gas from 269.5K to 282.2 K of the volume of the gas remains constant during the heating?

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The heat energy required is calculated by using the formula $\begin{array}{rcl} Q & = & n C_{v} ∆ T \\ = & \frac{n d R ∆ T}{2} \end{array}$ , where $n = 9 m o l e s$ is the number of moles of gas, $C_{v} = \frac{d R}{2}$ is the specific heat capacity at constant volume , $d = 6$ is the degree of freedom of diatomic gas , $R = 8.314 J / m o l K$ is the ideal gas constant and $\begin{array}{rcl} ∆ T & = & 282.2 K - 269.5 K \\ = & 12.7 K \end{array}$ is the temperature change .

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