Author: dexter

Problem Statement Solve the fluid mechanics problem: Solve the Newton’s Laws / mechanics problem: Water rises to $h=10.5\ \text{cm}$ in a capillary of $r=0.14\ \text{mm}$. Find $\sigma$ for water. ($\rho=1000\ \text{kg/m}^3$, $\theta=0°$) $$h = \frac{2\sigma\cos\theta}{\rho g r} \implies \sigma = \frac{h\rho g r}{2\cos\theta}$$ $$\sigma = \frac{0.105\ Given Information See problem statement for all given quantities.…

Problem Statement Find the critical free energy barrier $\Delta G^*$ for homogeneous nucleation of water droplets in supersaturated vapour at supersaturation ratio $S=5$ and $T=300\ \text{K}$. ($\sigma=0.073\ \text{N/m}$, $v_l=3\times10^{-29}\ \text{m}^3$) Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The solution…

Problem Statement Write the reduced van der Waals equation and state what corresponding states implies for real-gas behaviour near critical point. Given Information See problem statement for all given quantities. Physical Concepts & Formulas The van der Waals equation of state corrects the ideal gas law for finite molecular volume and intermolecular attractions. The parameter…

Problem Statement Solve the thermodynamics problem: Solve the thermodynamics problem: State the Onsager reciprocal relations and give an example of their application (thermoelectric effects). In linear irreversible thermodynamics, thermodynamic fluxes $J_i$ are linearly related to forces $X_j$: $J_i = \sum_j L_{ij}X_j$. Onsager’s theorem: The kinetic Given Information See problem statement for all given quantities. Physical…