Question

Volume of a substance at normal atmospheric pressure is 3500*10^-6 m³. What will be its change in volume at the pressure of 25 standard atmosphere? Given that bulk modulus of the substance is 10¹¹ N.m^-2.

Answer 1

Dear student

The bulk modulus of substance is given by
$K=-V\frac{dP}{dV}$
where dP is the change in pressure and dV is the change in volume so
$$\begin{gathered} 11N{m}^2=-3500\times {10}^{-6}{m}^3\times \frac{\left(25-1\right)\times 1.013\times {10}^{5}N{m}^2}{dV} \\ dV=-\frac{3500\times {10}^{-6}\times 24\times 1.013\times {10}^5}{11}{m}^3 \\ dV=-773.56m^3 \end{gathered}$$
So volume is decreases by -773.56 m³