Establish ideal gas equations (PV=nRT).

An ideal gas

What is ideal gas?

Establish gas equation, (P_(1)V_(1))/(T_(1))=(P_(2)V_(2))/(T_(2)) .

Prove: Ideal gas equation implies pV = nRT

The pressure exerted by an ideal gas is p= 1/3 M/Vc^2 where the symbols have their usual meanings. Using standard gas equation, pV=nRT we find that c^2=(3RT)/M or C^2 prop T . Average kinetic energy of translation of 1 mol of gas= 1/2 Mc^2=(3RT)/2 At what temperature, when pressure remain unchanged , will the rms speed of a gas be half its value at 0^@C ?

The pressure exerted by an ideal gas is p= 1/3 M/Vc^2 where the symbols have their usual meanings. Using standard gas equation, pV=nRT we find that c^2=(3RT)/M or C^2 prop T . Average kinetic energy of translation of 1 mol of gas= 1/2 Mc^2=(3RT)/2 At what temperature when pressure remains unchanged, will the rms speed of hydrogen be double its value at STP?

What do you mean by the ideal gas equation?Is this equation valid for real gases?

What is an ideal gas?

The pressure exerted by an ideal gas is p= 1/3 M/Vc^2 where the symbols have their usual meanings. Using standard gas equation, pV=nRT we find that c^2=(3RT)/M or C^2 prop T . Average kinetic energy of translation of 1 mol of gas= 1/2 Mc^2=(3RT)/2 Average thermal energy of a helium atom at room temperature (27^@C) is (given Boltzmann constant k=1.38 times 10^-23 J.K^-1 )