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Byju's Answer
Standard IX
Chemistry
Pressure
At sea level,...
Question

At sea level, the atmospheric pressure is 76 cm of Hg. If air pressure falls by 10 mm of Hg per 120 m of ascent, what is the height of a hill where the barometer reads 70 cm Hg. State the assumption made by you.


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Solution

A t m o s p h e r i c space p r e s s u r e comma P equals 76 space c m space h g R a t e space a t space w h i c h space p r e s s u r e space f a l l s space equals 10 space m m space o f space H g space p e r space 120 space m space o f space a s c e n t space equals 1 space c m space o f space H g space p e r space 120 space m space o f space a s c e n t L e t space h space b e space t h e space h e i g h t space o f space t h e space h i l l P r e s s u r e space a t space h i l l comma space P apostrophe equals 70 space c m space H g T o t a l space f a l l space i n space p r e s s u r e equals P minus P apostrophe equals left parenthesis 76 minus 70 right parenthesis space c m space H g equals 6 space c m space H g n o w comma space f a l l space i n space p r e s s u r e space i s space 6 space c m space H g space i n c r e a s e space i n space h e i g h t space s h a l l space b e space left parenthesis 6 cross times 120 right parenthesis m equals 720 m H e i g h t space o f space t h e space h i l l equals 720 space m A s u m p t i o n space colon space A t m o s p h e r i c space p r e s s u r e space f a l l s space l i n e a r l space y space w i t h space a s c e n t

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