What volume of air will be expelled from a vessel containing 380 cm 3 at 10°C when it is heated to 30°C at the same pressure ? - Wired Faculty

States Of Matter

Question

What volume of air will be expelled from a vessel containing 380 cm³ at 10°C when it is heated to 30°C at the same pressure ?

Solution

From the given data,

straight V subscript 1 space equals space 380 space cm cubed semicolon space space space straight T subscript 1 space equals space 273 plus 10 space equals space 283 space straight K straight V subscript 2 space equals space ? space space space space space space space space space space space space space space straight T subscript 2 space equals space 273 plus 30 space equals space 303 space straight K

According to Charle's law,

straight V subscript 1 over straight V subscript 2 space equals space straight T subscript 1 over straight T subscript 2

Substituting the values,
we have,

380 over straight V subscript 2 space equals space 283 over 303

therefore space space space straight V subscript 2 space equals space fraction numerator 380 space cross times space 303 over denominator 283 end fraction space equals space 406.85 space cm cubed therefore space space space Air space that space will space be space expelled space equals space 406.85 space minus space 380 space equals space 26.85 space cm cubed

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