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An inflated rubber balloon contains one ...

An inflated rubber balloon contains one mole of an ideal gas has a pressure p, volume V and temperature T. if the temperature rises to 1.1 T, and the volume is increased to 1.05 V, the final pressure will be

A

1.1 P

B

P

C

less than P

D

between P and 1.1 P.

Text Solution

Verified by Experts

The correct Answer is:
D

Using `PV=nRTor (P_(1)V_(1))/(T_(1))=(P_(2)V_(2))/(T_(2))`
Here, `P_(1) =P,V_(1)T_(1),T_(2)=1.1T andV_(2)=1.05V`
`thereforeP_(2)(P_(1)V_(1)T_(2))/(V_(2)T_(1))=(PxxVxx1.1T)/(1.05VxxT)=1.05 P`
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