For H_2, O_2,and He gases at the same tempera | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) According to the ideal gas equation,$PV = nRT$,where $n$ is the number of moles.Given that $P, V, R$,and $T$ are the same for all three gases,the

Vedclass · Accepted Answer

$H_2$

Vedclass · Answer

(A) According to the ideal gas equation,$PV = nRT$,where $n$ is the number of moles.Given that $P, V, R$,and $T$ are the same for all three gases,the number of moles $n = \frac{PV}{RT}$ is the same for all.Number of molecules $N = n 	imes N_A$,where $N_A$ is Avogadro's number. Thus,the number of molecules is the same for all.Now,we calculate the number of atoms:For $H_2$ (diatomic): Number of atoms $= 2 	imes n 	imes N_A = 2nN_A$.For $O_2$ (diatomic): Number of atoms $= 2 	imes n 	imes N_A = 2nN_A$.For $He$ (monoatomic): Number of atoms $= 1 	imes n 	imes N_A = nN_A$.Comparing these,$H_2$ and $O_2$ have the same number of atoms,which is higher than that of $He$.

For $H_2, O_2$,and $He$ gases at the same temperature and pressure,the volumes are equal. Which of the following has the highest number of atoms?

Similar Questions

$A$ balloon contains $1500 \, m^3$ of helium at $27^\circ C$ and $4 \, atm$ pressure. The volume of helium at $-3^\circ C$ temperature and $2 \, atm$ pressure will be ...... $m^3$.

$A$ gas at a temperature of $27^{\circ}C$ has a volume $V$ and pressure $P$. If the pressure is doubled and the volume is tripled,what will be the new temperature in $^{\circ}C$?

$O_2$ gas is filled in a cylinder. If the pressure is doubled and the temperature is quadrupled,what will be the factor by which the density changes?

$A$ gas at $27^\circ C$ temperature and $30$ atmospheric pressure is allowed to expand to atmospheric pressure. If the volume becomes $10$ times its initial volume,then the final temperature becomes ...... $^\circ C$.

Which one of the following graphs represents the behavior of an ideal gas at a constant temperature?

Vedclass Test Series

Exam Paper Generator

Online Exam Module