two vessels $A$ and $B$ contain water at temperature $T_{A}$ and $T_{B}$ at $10^{o} C$ and $2^{0} C$ respectively. If the water in both the vessels were compressed adiabatically and if we take into account the finite bulk modulus of elasticity of water, then $T_{A}$ and $T_{B}$

increase and decrease respectively

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decrease and increase respectively

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both increase

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both decrease

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Solution

The correct option is C increase and decrease respectively
Process is odiabectie
$Q = O$
$w = - v$
density of water is maximum at
$T = 4^{o} C$
On compression
$v_{d e c r e a s e s} \to u ρ_{i n c r e a s e s}$
Case $I$
So $+ v e$ work is done by surrounding on system
Hence $u_{i n c r e a s e s}$ , i.e $T ↑$
Case $I I$
system so work on surrounding to go on its maximum density
$∴ v$ cell decrease hence $T ↓$
Ans $A$

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