# Smaller Or Bigger ? (C-M cum Chem)

In a $$HCl$$ solution (Open to atmospheric pressure of $$1$$ $$atm$$),a hydrogen bubble of $$8.00$$ $$mm^3$$ volume is near a platinum (Pt) electrode at a depth of $$15.00$$ $$cm$$ where the temperature is $$25.0$$ degree $$Celsius$$.The bubble rises to the surface of the $$HCl$$ solution, which is at a temperature of $$27.0$$ degree $$Celsius$$. Assume that the temperature of the bubble is the same as that of the surrounding solution and the mass density of the solution is uniformly equal to that of water ($$1.00\times 10^3\text{ kg/m}^3$$). If the earth gravitation is $$9.80\text{ m/s}^2$$and $$H_2$$ is regarded as an ideal diatomic gas, find the volume of the bubble (in $$mm^3$$) just before it reaches the surface of the solution ($$1$$ $$atm$$ = $$1.013$$ $$×$$ $$10^5$$ $$Pa$$).

Give your answer to 3 significant figures.

Source: 2nd IJSO Theoretical Problem 1 part 1.

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