1. Tardigrade
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  3. Chemistry
  4. On a ship sailing in pacific ocean where temperature is 23.4° C, a balloon is filled with 2 L air. What will be the volume of the balloon when the ship reaches Indian ocean, where temperature is 26.1° C ?

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Q. On a ship sailing in pacific ocean where temperature is $23.4^{\circ} C$, a balloon is filled with $2\, L$ air. What will be the volume of the balloon when the ship reaches Indian ocean, where temperature is $26.1^{\circ} C$ ?

States of Matter

Solution:

Given,
$V_{1}=2 L , $
$T_{2}=(26.1+273) K =299.1 K , $
$V_{2}=? $
$T_{1}=(23.4+273) K =296.4 K$
From Charles' law,
$\frac{V_{1}}{T_{1}} =\frac{V_{2}}{T_{2}} $
$\Rightarrow V_{2} =\frac{V_{1} T_{2}}{T_{1}} $
$\Rightarrow V_{2} =\frac{2 L \times 299.1 K }{296.4 K }$
$=2 L \times 1.009$
$=2.018\, L$