The Root Mean Square RMS Speed V Of The Molecules Of Class 11 ...

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AnswerQuestion Answers for Class 12Class 12 BiologyClass 12 ChemistryClass 12 EnglishClass 12 MathsClass 12 PhysicsClass 12 Social ScienceClass 12 Business StudiesClass 12 EconomicsQuestion Answers for Class 11Class 11 EconomicsClass 11 Computer ScienceClass 11 BiologyClass 11 ChemistryClass 11 EnglishClass 11 MathsClass 11 PhysicsClass 11 Social ScienceClass 11 AccountancyClass 11 Business StudiesQuestion Answers for Class 10Class 10 ScienceClass 10 EnglishClass 10 MathsClass 10 Social ScienceClass 10 General KnowledgeQuestion Answers for Class 9Class 9 General KnowledgeClass 9 ScienceClass 9 EnglishClass 9 MathsClass 9 Social ScienceQuestion Answers for Class 8Class 8 ScienceClass 8 EnglishClass 8 MathsClass 8 Social ScienceQuestion Answers for Class 7Class 7 ScienceClass 7 EnglishClass 7 MathsClass 7 Social ScienceQuestion Answers for Class 6Class 6 ScienceClass 6 EnglishClass 6 MathsClass 6 Social ScienceQuestion Answers for Class 5Class 5 ScienceClass 5 EnglishClass 5 MathsClass 5 Social ScienceQuestion Answers for Class 4Class 4 ScienceClass 4 EnglishClass 4 MathsThe root mean square (R.M.S) speed $ V $ of the molecules of an ideal gas is given by the expression, $ v = sqrt(\dfrac{{3RT}}{M}) $ and $ v = sqrt(\dfrac{{3KT}}{m}) $ where R is universal gas constant, $ T $ is the absolute (Kelvin) temperature, m is the molar mass, K is Boltzmann’s constant and M is the molecular mass. The R.M.S speed of oxygen molecules $ ({O_2}) $ at temperature $ T1 $ is $ V1 $ . When the temperature is doubled, if the oxygen molecules are dissociated into atomic oxygen, what will be R.M.S speed of oxygen atoms? (Treat the gas as ideal)AnswerVerified501k+ viewsHint :Gases consist of atoms or molecules that move at different speeds in random directions. The root mean square velocity (RMS velocity) is a way to find a single velocity value for the particles. The average velocity of a gas particle is found using the root mean square velocity formula.Complete Step By Step Answer:When examining the root mean square speed equation $ v = sqrt(\dfrac{{3RT}}{M}) $ , we can see that the change in temperature and molar mass affect the speed of gas molecules. The speed of the molecules in a gas is proportional to the temperature and is inversely proportional to the molar mass of the gas. In other words, as the temperature of a sample of gas is increased, the molecules speed up and the root mean square molecular speed increases as a result.For equation $ v = sqrt(\dfrac{{3KT}}{m}) $ , it says that the speed of gas particles is related to their absolute temperature. In other words, as their temperature increases, their speed increases, and finally their total energy increases as well. However, it is impossible to define the speed of any one gas particle. As such, the speed of gases are defined in terms of their root mean square speed.For the above question,We have $ v = sqrt(\dfrac{{3RT}}{M}) $ or $ v = sqrt(\dfrac{{3KT}}{m}) $ and temperature is $ T1 $ , on dissociation the molar mass as well as the molecular mass get halved. Using the second equation, the R.M.S speed $ v $ after dissociation as given by $ v = {(\dfrac{{3K \times 2T1}}{{\dfrac{m}{2}}})^{1/2}} $ = $ 2{(\dfrac{{3KT1}}{m})^{1/2}} $ = $ 2V1 $ .Note :The RMS calculation gives you the root mean square speed not velocity. This is because velocity is a vector quantity that has magnitude and direction. The RMS calculation only gives the magnitude or speed. The temperature must be converted to kelvin and the molar mass must be found in $ Kg $ to complete the other problems. Recently Updated PagesMaster Class 11 Business Studies: Engaging Questions & Answers for SuccessMaster Class 11 Computer Science: Engaging Questions & Answers for SuccessMaster Class 11 Maths: Engaging Questions & Answers for SuccessMaster Class 11 Chemistry: Engaging Questions & Answers for SuccessWhich cell organelles are present in white blood C class 11 biology CBSEWhat is the molecular geometry of BrF4 A square planar class 11 chemistry CBSEMaster Class 11 Business Studies: Engaging Questions & Answers for SuccessMaster Class 11 Computer Science: Engaging Questions & Answers for SuccessMaster Class 11 Maths: Engaging Questions & Answers for SuccessMaster Class 11 Chemistry: Engaging Questions & Answers for SuccessWhich cell organelles are present in white blood C class 11 biology CBSEWhat is the molecular geometry of BrF4 A square planar class 11 chemistry CBSE

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