**Scenario: Heating in a Sealed Movie Theater**Imagine that 491 people are present in a movie theater with a volume of \(8.00 \times 10^3 \, \text{m}^3\) that is sealed shut so no air can escape. Each person gives off heat at an average rate of 103 W. Determine by how much the temperature of the air will increase during a 2-hour movie. Assume the following conditions:- The initial pressure in the theater is \(1.01 \times 10^5 \, \text{Pa}\).- The initial temperature is \(20.0^\circ\text{C}\).- Assume all the heat output from people is absorbed by the air (considered as a diatomic gas).**Temperature Increase:**\[\boxed{\,\,^{\circ}\text{C}}\]**Explanation:**To solve the problem, consider using the First Law of Thermodynamics and the ideal gas law, assuming the volume is constant and applying the specific heat capacity for diatomic gases.

V = 8*103 m3 Since there is no change in volume So ΔU = ΔQ Here also γ = 7/5 ( for diatomic gas)…

Imagine that 491 people are present in a movie theater of volume 8.00x103 m³ that is sealed shut so no air can escape. Each person gives off heat at an average rate of 103 W. By how much will the temperature of the air have increased during a 2.00-h movie? The initial pressure is 1.01 x 105 Pa and the initial temperature is 20.0°C. Assume that all the heat output of the people goes into heating the air (a diatomic gas).

Imagine that 491 people are present in a movie theater of volume 8.00x103 m³ that is sealed shut so no air can escape. Each person gives off heat at an average rate of 103 W. By how much will the temperature of the air have increased during a 2.00-h movie? The initial pressure is 1.01 x 105 Pa and the initial temperature is 20.0°C. Assume that all the heat output of the people goes into heating the air (a diatomic gas).

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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