Internal energy and pressure for unit volume of gas are related by

A.)P=2/3E. B.)P=3/2E. C.)P=1/3E. D.)P=2E

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Solution

Dear student
For an ideal gas,PV = nRT Atunit volume, i.e. V=1P=RTNow, according to Kinetic Theory of Gases we know thatInternal Energy, E = 3/2RT i.e. E = 32P
(as P=RT)
or, P =2E/3

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Internal energy and pressure for unit volume of gas are related by A.)P=2/3E. B.)P=3/2E. C.)P=1/3E. D.)P=2E

Dear student For an ideal gas,PV = nRT Atunit volume, i.e. V=1P=RTNow, according to Kinetic Theory of Gases we know thatInternal Energy, E = 3/2RT i.e. E = 32P (as P=RT) or, P =2E/3

Internal energy and pressure for unit volume of gas are related by

A.)P=2/3E. B.)P=3/2E. C.)P=1/3E. D.)P=2E

Dear student
For an ideal gas,PV = nRT Atunit volume, i.e. V=1P=RTNow, according to Kinetic Theory of Gases we know thatInternal Energy, E = 3/2RT i.e. E = 32P
(as P=RT)
or, P =2E/3