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Kinetic Theory — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsKinetic Theory5 Marks
Question
A balloon partially filled with Helium has a volume of $30m^3$, at the earth's surface, where pressure is $76cm$ of Hg and temperature is $27°C$. What will be the increase in volume of gas if balloon rises to a height, where pressure is $7.6cm$ of Hg and temperature is $-54°C$?
✓

Answer

$\frac{\text{P}_1\text{V}_1}{\text{T}_1}=\frac{\text{PV}}{\text{T}}$$\text{V}_1=\frac{\text{PVT}_1}{\text{TP}_1}$
$=\frac{76\times30\times(273-54)}{(273+27)\times7.6}$
$=219\text{m}^3$
Hence increase in volume
$=\text{V}_1-\text{V}$
$=219-30$
$=189\text{m}^3$

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