First slide

laws

Question

Two identical cylinders at same temperature contain Helium at 2.5 atm and Argon at 1 atm respectively. What will be the pressure if both the gases are filled in one of the cylinders ?

Easy

A

1.2 atm
B

2.5 atm
C

3.5 atm
D

1.5 atm

Solution

Total number of moles remains conserved.
Temperature of the gas remains unchanged.
n = n₁ + n₂
$\large \Rightarrow \,\frac{{PV}}{{RT}}\, = \,\frac{{{P_1}V}}{{RT}} + \frac{{{P_2}V}}{{RT}}$
$\large \Rightarrow \,P\, = \,{P_1} + {P_2}\, = \,\left( {2.5 + 1} \right)atm$
$\large \Rightarrow \,P\, = \,3.5\,atm$

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