Hydrostatics

Classical Mechanics Level 2

The pressure of a gas of volume 22.4 L is 3 atm at certain temperature.Then find the pressure of the gas of volume 44.8 L at the same temperature.

1.5 atm 6 atm 6.5 atm 4.5 atm None of the above

1 solution

Rishu Jaar
Nov 4, 2017

Here we use the $\text{Ideal Gas Equation}$ $\rightarrow$

$\large\color{#3D99F6}{PV=nRT}$

Now since no. of moles $n$ , temperature of the gas $T$ and the universal gas constant, $R$ are all constants, hence our equation reduces to $\rightarrow$

$\large\color{#3D99F6}{PV=constant}$

Therefore as per the problem, when the volume is doubled , the pressure needs to be halved . Hence the answer is $\large\color{#D61F06}{\boxed{1.5 atm }}$

Hydrostatics

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