Recent questions tagged numerical-answers

Consider a function $y=f(x)$ which satisfies the following equation:$\frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}=0$ As $x \rightarrow-\infty, y=1$, and at $x=0, y=2$.The valu...

The concentration of $\mathrm{NO}_{2}$ in the air at $\mathrm{NTP}$ is reported as $0.30$ ppmv $\text{(ppm by volume)}$. The concentration of $\mathrm{NO}_{2} \mathrm{in}...

Two reservoirs are connected by a pipeline consisting of two pipes '$\text{A}$ ' and '$\text{B}$ ' in series. The two pipes are of same length and have the same Darcy fri...

In open channel flow, the specific energy is the total energy per unit weight of a liquid, where the component potential energy is measured from the bed of the channel as...

In a field test of a geological formation of permeable soil (porosity = $20 \%$ ), the hydraulic gradient was found to be $2 \%$. The actual seepage velocity of the flow ...

An underground hazardous waste storage tank is leaking. The contaminant concentration directly beneath the site is $0.5 \mathrm{mg} / \mathrm{L}$. The contaminant is trav...

A $900 \mathrm{~mm}$ internal diameter sewer is laid at a slope of $0.004$ and has an actual flow of $0.15 \mathrm{~m}^3 / \mathrm{s}$. Assuming Manning's roughness coeff...

The net profit expected from a manufacturing unit is ₹$6000$ per year. The operational life of the unit is $15$ years. Assuming a fixed discount rate of $8 \%$ per annum,...

A $10$ million litres per day $\text{(MLD)}$ sewage treatment plant $\text{(STP)}$ is based on the Activated Sludge Process $\text{(ASP)}$. First, the sewage undergoes pr...

The municipal solid waste $\text{(MSW)}$ generated in a community $\text{(population =(100000)}$ is disposed on a $12 \times 10^4 \mathrm{m}^2$ landfill site, which can b...

A mechanized stationary container system is proposed for waste collection from a commercial area. The container unloading time is $0.1$ hours per container. There are two...

Excess amount of solid calcium sulphate $\left(\mathrm{CaSO}_4\right)$ was added to a pure water sample $(\mathrm{pH}=7)$ so that some solids remain undissolved at the eq...

The molar concentrations $(M$, i.e. $m o l / L)$ of some ionic species in a water sample were estimated as follows:$\mathrm{Na}^{+}=0.25{\mathrm{M} ; \mathrm{Ca}^{2+}}^{2...

A facultative pond system for sewage treatment consists of two ponds in series. The hydraulic retention time $\text{(HRT)}$ of each pond is $6$ days. The total $\text{BOD...