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Ideal Gas Equation

A bottle is h...

Question

A bottle is heated with its mouth open from $15^{o} C$ to $100^{o} C$ . What fraction of air originally contained in the vessel is expelled?

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Solution

Volume & pressure will remain same as the bottle volume is fixed at constant pressure.

$n . T = c o n s t a n t$

$n_{i} T_{i} = n_{f} T_{f}$

$\frac{n_{i}}{n_{f}} = \frac{T_{f}}{T_{i}} = \frac{378}{288}$

% Fractional removed $= (1 - \frac{n f}{n i}) \times 100$

$= (1 - \frac{T_{i}}{T_{f}}) \times 100 = (1 - \frac{288}{373}) \times 100 = 22.8 %$

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