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States Of Matter

Question
CBSEENCH11005909

A student forgot to add the reaction mixture to the round bottomed flask at 27°C but instead he/she placed the flask on the flame. After a lapse of time, he realized his mistake, and using a pyrometer he found that the temperature of the flask was 477°C. What fraction of air would have been expelled out?

Solution

Let the volume of vessel  = V cm3
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Substituting the values, we have
     straight V subscript 2 space equals space fraction numerator straight V space cm cubed space cross times space 750 space straight K over denominator 300 space straight K end fraction space equals space 2.5 space straight V space cm cubed
therefore space space Volume space expelled space space equals space 2.5 space straight V space cm cubed space minus space straight V space cm cubed
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1.5 space straight V space cm cubed
therefore space space Fraction space of space the space air space expelled
                                     equals space fraction numerator 1.5 space straight V space cm cubed over denominator 2.5 space straight V space cm cubed end fraction space equals space 3 over 5