The number density of gas atoms at a certain location in the space above our planet is about 1.40 ✕ 1011 m−3, and the pressure is 1.10 ✕ 10−10 N/m2 in this space. What is the temperature (in °C) there?

Number of atoms per unit volume = number density Number of moles per unit volume = number density / avogadro number (n/V) = 1.4 * 1011/ (6.022 * 1023 ) (n/V) = 2.3248 * 10 -13 moles / m3 Using ideal gas equation P V = n R T P = (n/V) R T 1.1 * 10-10 = 2.3248 * 10-13 * 8.314 * T T = 56.9 K T = -216.1 oC

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College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter13: Temperature, Kinetic Theory, And The Gas Laws

Section: Chapter Questions

Problem 38PE: (a) In the deep space between galaxies, me density of atoms is as low as 106atoms/m3, and me...

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The number density of gas atoms at a certain location in the space above our planet is about 1.40 ✕ 10¹¹ m⁻³, and the pressure is 1.10 ✕ 10⁻¹⁰ N/m² in this space. What is the temperature (in °C) there?

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