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States of Matter
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08/09/2021 9:16 pm
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A bubble of the gas released at the bottom of a lake increases to eight times the original volume when it reaches the surface. Assuming that the atmospheric pressure is equivalent to pressure exerted by a column of water 10 m high, what is the depth of the lake
(a) 80 m
(b) 90 m
(c) 10 m
(d) 70 m
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08/09/2021 9:19 pm
Correct answer: (d) 70 m
Explanation:
Let V be the original volume of bubble. The final volume will be 8 V. Let p be the atmospheric pressure and p1 the pressure at the bottom
∴ p x 8V = p1 x V;
8p = p1
p1 = atmospheric pressure + pressure due to water lake
= p + 7p
The p = 10 m high, the 7p will be = 70 m high So the depth = 70 m