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A spherical balloon contains 1 mole of H...

A spherical balloon contains 1 mole of He at `T_(0)`. The balloon material is such that the pressure inside is alwaus proportional to square of diameter. When volume of balloon becomes 8 times of initial volume, then :-

A

Work done by gas `(93RT_(0))/(5)`

B

Final temperature of the gas is `32T_(0)`

C

Heat taken by gas `65. 1 RT_(0)`

D

Heat given by gas` 65.1 RT_(0)` where R is universal gas constant.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Also `=(P prop V^(2//3))/((nRDeltaT)/(1-x)) (P_(0)V_(0))/(RT_(0)) = ((4P_(0))(8V_(0)))/(RT)`
`= T=32T_(0)`
`= (nR(31T_(0)))/(1+(2)/(3)) = (93RT_(0))/(5)`
`DeltaQ = (1) [((3)/(2)R)+((3)/(5))R] (31T_(0))`
`= (21)/(10)R (31T_(0)) = 65.1 RT_(0)`
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