A rubberized sphere contains carbon dioxide. If the initial radius of the sphere is 15cm:How much work is done if the carbon dioxide-filled sphere expanded to five times its originalvolume against the pressure at STP? Express your answer in L atm.b. Upon the expansion of the sphere, what is the kinetic energy of a single carbon dioxidemolecule if it travels across the diameter and covers it in 30ms? Assume that the spherecontains one mole of carbon dioxide. Express your answer in J.How much power can all the molecules in this sphere generate after 30s? Assume that thesphere contains one mole of carbon dioxide and that all molecules have the same kineticenergy. Express your answer in W. (Use the KE obtained from the previous required)2. A rubberized, cubic chamber was filled with butane gas and was expanded from 3.0L to 4.5L at apressure of 2.7atm and it absorbed 230J of heat from the surroundings.a. What is the change in the energy of the system? Express your answer in L atm.b. Assuming that the internal energy of this system is all kinetic energy and that the cubecontains one mole of butane gas, what is the velocity of a single butane molecule covering adistance between the opposite corners of the expanded cube (express in m)? How longwould it take to cover that distance (express in sec, use SI prefixes instead of scientificnotation)?c. How much power can be generated by all the molecules in this cube after 1 hour? Expressyour answer in W. (Use the v obtained from 2b then recompute total KE)3. 0.5 moles of cinnamaldehyde gas that has an initial volume of ten liters expands under the followingconditions: 185°F and 800mmHg external pressure.How much work is done? Express your answer in L atm.b. Assuming that the container is cylindrical with a base radius of 10cm and can only expandvertically, how much kinetic energy does a single molecule possesses if it travels from baseto base of the expanded cylinder in 10µs? Express your answer in J.

“Since you have asked multiple question, we will solve the first question for you. If youwant any…

A rubberized sphere contains carbon dioxide. If the initial radius of the sphere is 15cm: a. How much work is done if the carbon dioxide-filled sphere expanded to five times its original volume against the pressure at STP? Express your answer in L atm. b. Upon the expansion of the sphere, what is the kinetic energy of a single carbon dioxide molecule if it travels across the diameter and covers it in 30ms? Assume that the sphere contains one mole of carbon dioxide. Express your answer in J. c. How much power can all the molecules in this sphere generate after 30s? Assume that the sphere contains one mole of carbon dioxide and that all molecules have the same kinetic energy. Express your answer in W. (Use the KE obtained from the previous required)

A rubberized sphere contains carbon dioxide. If the initial radius of the sphere is 15cm: a. How much work is done if the carbon dioxide-filled sphere expanded to five times its original volume against the pressure at STP? Express your answer in L atm. b. Upon the expansion of the sphere, what is the kinetic energy of a single carbon dioxide molecule if it travels across the diameter and covers it in 30ms? Assume that the sphere contains one mole of carbon dioxide. Express your answer in J. c. How much power can all the molecules in this sphere generate after 30s? Assume that the sphere contains one mole of carbon dioxide and that all molecules have the same kinetic energy. Express your answer in W. (Use the KE obtained from the previous required)

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 81AP: One process for decaffeinating coffee uses carbon dioxide ( M=44.0 g/mol) at a molar density of...

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Question

100%

A rubberized sphere contains carbon dioxide. If the initial radius of the sphere is 15cm:
How much work is done if the carbon dioxide-filled sphere expanded to five times its original
volume against the pressure at STP? Express your answer in L atm.
b. Upon the expansion of the sphere, what is the kinetic energy of a single carbon dioxide
molecule if it travels across the diameter and covers it in 30ms? Assume that the sphere
contains one mole of carbon dioxide. Express your answer in J.
How much power can all the molecules in this sphere generate after 30s? Assume that the
sphere contains one mole of carbon dioxide and that all molecules have the same kinetic
energy. Express your answer in W. (Use the KE obtained from the previous required)
2. A rubberized, cubic chamber was filled with butane gas and was expanded from 3.0L to 4.5L at a
pressure of 2.7atm and it absorbed 230J of heat from the surroundings.
a. What is the change in the energy of the system? Express your answer in L atm.
b. Assuming that the internal energy of this system is all kinetic energy and that the cube
contains one mole of butane gas, what is the velocity of a single butane molecule covering a
distance between the opposite corners of the expanded cube (express in m)? How long
would it take to cover that distance (express in sec, use SI prefixes instead of scientific
notation)?
c. How much power can be generated by all the molecules in this cube after 1 hour? Express
your answer in W. (Use the v obtained from 2b then recompute total KE)
3. 0.5 moles of cinnamaldehyde gas that has an initial volume of ten liters expands under the following
conditions: 185°F and 800mmHg external pressure.
How much work is done? Express your answer in L atm.
b. Assuming that the container is cylindrical with a base radius of 10cm and can only expand
vertically, how much kinetic energy does a single molecule possesses if it travels from base
to base of the expanded cylinder in 10µs? Express your answer in J.

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