When a pressure of 100 , atm is applied to a | vedclass

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Question

(C) Given: Pressure $P = 100 \, atm = 100 	imes 1.013 	imes 10^5 \, N/m^2 \approx 10^7 \, N/m^2$.Fractional change in volume $\frac{\Delta V}{V} = 0

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$1 	imes 10^{12} \, dyne/cm^2$

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(C) Given: Pressure $P = 100 \, atm = 100 	imes 1.013 	imes 10^5 \, N/m^2 \approx 10^7 \, N/m^2$.Fractional change in volume $\frac{\Delta V}{V} = 0.01 \% = \frac{0.01}{100} = 10^{-4}$.The bulk modulus $K$ is defined as $K = \frac{P}{\Delta V/V}$.Substituting the values: $K = \frac{10^7}{10^{-4}} = 10^{11} \, N/m^2$.Since $1 \, N/m^2 = 10 \, dyne/cm^2$,we have $K = 10^{11} 	imes 10 \, dyne/cm^2 = 1 	imes 10^{12} \, dyne/cm^2$.

When a pressure of $100 \, atm$ is applied to a rubber ball,its volume decreases by $0.01 \%$. What is the bulk modulus of the rubber?

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