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A weather balloon filled with hydrogen a...

A weather balloon filled with hydrogen at 1 atm and `27^(@)C` has volume equal to 12000 litres. On ascending it reaches a place where the temperature is `–23^(@)C` and pressure is 0.5 atm. The volume of the balloon is

A

24000 litres

B

20000 litres

C

10000 litres

D

12000 litres

Text Solution

Verified by Experts

The correct Answer is:
B
`(P_(1)V_(1))/(T_(1)) = (P_(2)V_(2))/(T_(2))`
`(1 xx 12000)/(273 + 27) = (0.5 xx V_(2))/(273 - 23)`
On solving , `V_(2) = 20,000` litres
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