How much should the pressure on a litre of wa | vedclass

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Question

(A) The fractional change in volume is given by $\frac{\Delta V}{V} = 0.10\% = \frac{0.10}{100} = 10^{-3}$.The bulk modulus $B$ of water is approximat

Vedclass · Accepted Answer

$2.2 	imes 10^{6} \;Nm^{-2}$

Vedclass · Answer

(A) The fractional change in volume is given by $\frac{\Delta V}{V} = 0.10\% = \frac{0.10}{100} = 10^{-3}$.The bulk modulus $B$ of water is approximately $2.2 	imes 10^{9} \;Nm^{-2}$.The formula for bulk modulus is $B = \frac{p}{\Delta V / V}$,where $p$ is the change in pressure.Rearranging for $p$,we get $p = B 	imes \left( \frac{\Delta V}{V} ight)$.Substituting the values: $p = (2.2 	imes 10^{9} \;Nm^{-2}) 	imes (10^{-3})$.$p = 2.2 	imes 10^{6} \;Nm^{-2}$.Thus,the pressure on the water should be changed by $2.2 	imes 10^{6} \;Nm^{-2}$.

How much should the pressure on a litre of water be changed to compress it by $0.10\%?$

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