Recent questions tagged numerical-answers

An agricultural land can support energy crops yield to produce $7000$ $\text{L}$ of bioethanol per hectare and energy content of bioethanol is $21 \mathrm{MJ} / \mathrm{L...

$\lim _{x \rightarrow 0}\left(\frac{\ln (1+x)}{2 \sin x}\right)$ is $\_\_\_\_\_\_$ (rounded off to two decimal places).

An unconfined aquifer of areal extent $20 \mathrm{~km} \times 20 \mathrm{~km}$ has hydraulic conductivity of $4 \mathrm{~m} / \mathrm{day}$, porosity of $0.32$, and stora...

A residential family is considering two cities for relocation. The data related to pollutant exposure and associated health cost per year are given in the following figur...

The following is a system of linear equations$$\begin{array}{c} x-2 y+z=34 \\ 2 x+y+z=102 \\x+y-3 z=17\end{array}$$The value of $(x+y+z)$ is $\_\_\_\_\_\_$ (rounded off t...

The value of $\int_{0}^{\infty} \frac{\sin 4 x}{\pi x} d x$ is $\_\_\_\_\_\_$ (rounded off to two decimal places)

A tank has inflow, outflow and stirring mechanism. Initially, the tank holds $500 \: L$ of a brine solution of concentration $200 \mathrm{~g} / \mathrm{L}$. At $t=0$, an ...

Aerobic biomass has yield coefficient value of $0.4$ for glucose (molecular weight $= 180 \mathrm{~g} / \mathrm{mole}$) substrate. Bacteria is represented as $\mathrm{C}_...

The following figure (not to scale) depicts a rainfall hyetograph for a storm over a catchmentIf the storm produced a direct runoff of $12.5 \: \mathrm{mm}$, then the $\p...

The following table and figure (not to scale) show characteristics of a catchment$$\begin{array}{|c|c|c|c|} \hline \text{Sub-} & \text{Area} &\text{Runoff} & \text{Time ...

A homogeneous isotropic confined aquifer of uniform thickness $30 \: \mathrm{m}$ has hydraulic conductivity of $5 \mathrm{~m} / \mathrm{day}$ and porosity of $0.3$. There...

A pipe line $\boldsymbol{O P} \boldsymbol{Q} \boldsymbol{R}$ branches into three pipes $\boldsymbol{X}, \boldsymbol{Y}$, and $\boldsymbol{Z}$ between points $\boldsymbol{...

A circular sewer pipe, having Manning's coefficient $(n)$ of $0.01$, is laid at a bed slope of $1: 100$. If it is flowing $80 \%$ full for a discharge of $2 \mathrm{~m}^{...

You conducted a batch experiment in the lab for $10$ minutes to degrade a toxic compound, which follows first order kinetics. The compound degrades from $2 \times 10^{-3}...

A common effluent treatment plant with a capacity of $2$ million litres per day (MLD) employs reverse osmosis (RO) for water reuse. The RO unit removes $95 \%$ of the tot...

A boiler burns coal at a rate of $1 \mathrm{~kg} / \mathrm{s}$. If the coal has $3 \%$ sulfur content, assuming that there is no sulfur in ash, $\mathrm{SO}_{2}$ emitted ...

A particle dispersoid has $1510$ spherical particles of uniform density. An air purifier is proposed to be used to remove these particles. The diameter specific number of...

An incandescent light bulb operated for two hours per day uses $12.2 \: \text{kWh}$ of energy per month. Burning of one kg of coal generates $2 \: \text{kWh}$ of electric...

A street sweeping machine starts from point $P$ and ends at $S$, as shown in the network of streets below. It sweeps all the streets at least once.Length of the streets, ...

A solid waste of composition $\mathrm{C}_{60} \mathrm{H}_{135} \mathrm{O}_{50} \mathrm{~N}_{5}$ is to be composted aerobically in a closed vessel mechanical composting fa...