Question 959: Thermodynamics & KTG

Question

In a vessel, the gas is at pressure P. If the mass of all the molecules is halved and their speed is doubled, then the resultant pressure will be

Accepted Answer

As $$P = {1 \over 3}{{mN} \over V}v_{rms}^2$$   ...(i)
where m is the mass of each molecule, N is the total number of molecules, V is the volume of the gas. When mass of all the molecules is halved and their speed is doubled, then the pressure will be
$$P' = {1 \over 3}\left( {{m \over 2}} ight) 	imes {N \over V} 	imes {\left( {2{v_{rms}}} ight)^2}$$
$$ = {2 \over 3}{{mN} \over V}v_{rms}^2 = 2P$$   (Using (i))

Answer

2P

Answer

P

Answer

P/2

Answer

4P

Thermodynamics & KTG

In a vessel, the gas is at pressure P. If the mass of all the molecules is halved and their speed is doubled, then the resultant pressure will be

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