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A balloon contains 1500 m^(3) of helium ...

A balloon contains `1500 m^(3)` of helium at `27^(@)C` and 4 atmospheric pressue. The volume of helium at `-3^(@)C`temprature and 2 atmospheric pressure will be

A

`1500m^(3)`

B

`1700m^(3)`

C

`1900m^(3)`

D

`2700m^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Here, `P_(1)=4` atm, `T_(1)=27^(@)C=300K, V_(1)=1500m^(3), P_(2)=2` atm, `T_(2)=-3^(@)C=270K,V_(2)=?`
As `(P_(1)V_(1))/(T_(1))=(P_(2)V_(2))/(T_(2))therefore V_(2)=(P_(1)V_(1)T_(2))/(T_(1)P_(2))=(4xx1500xx270)/(300xx2)=2700m^(3)`
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