A vessel contains 1 mole of $${O_2}$$ gas (relative molar mass 32) at a temperature $$T.$$ The pressure of the gas is $$P.$$ An identical vessel containing one mole of $$He$$ gas (relative molar mass 4) at a temperature $$2\,T$$ has a pressure of
A.
$$\frac{P}{8}$$
B.
$$P$$
C.
$$2\,P$$
D.
$$8\,P$$
Answer :
$$2\,P$$
Solution :
$$PV = nRT\,\,or{\text{ }}P = \frac{{nRT}}{V}\,\,or{\text{ }}P\,\propto \,T$$
( $$\because $$ $$V$$ and $$n$$ are same.)
Therefore, if $$T$$ is doubled, pressure also becomes two times, i.e, $$2\,P.$$
Releted MCQ Question on Heat and Thermodynamics >> Kinetic Theory of Gases
The average translational kinetic energy of $${O_2}$$ (relative molar mass 32) molecules at a particular temperature is $$0.048\,eV.$$ The translational kinetic energy of $${N_2}$$ (relative molar mass 28) molecules in $$eV$$ at the same temperature is
A vessel contains 1 mole of $${O_2}$$ gas (relative molar mass 32) at a temperature $$T.$$ The pressure of the gas is $$P.$$ An identical vessel containing one mole of $$He$$ gas (relative molar mass 4) at a temperature $$2\,T$$ has a pressure of