Recent questions tagged numerical-answers

An industry releases three greenhouse gases $\mathrm{(GHGs)}$, $\mathrm{CO}_{2}(5 \mathrm{~kg} /$ day $), \mathrm{CH}_{4}(0.5$ $\mathrm{kg} /$ day $)$, and $\mathrm{N}_{2...

Water from a hand pump located near a landfill has $1 \mathrm{mg} / \mathrm{L}$ arsenic (oral carcinogenic potency factor $=1.75(\mathrm{~kg-day}) / \mathrm{mg})$. A pers...

Consider the equation $\frac{d y}{d x}-x^{2}+e^{x}=0$; with $y=1$ at $x=0$.The value of $y$ at $x=1$ is ________ $\text{(rounded off to 2 decimal places)}$.Take the value...

$f(x)=x^{3}-4.5 x^{2}-12 x$ has a local maximum at $x=$ __________ $\text{(an integer value)}$ in the range $x=-2$ to $+2$.

A Class-A pan was setup adjacent to a lake for measuring evaporation losses in the lake. The depth of water in the pan at the beginning of a certain week was $250 \mathrm...

A municipal solid waste digester generates $1000 \mathrm{~kg}$ of methane gas. The volume of the tank needed to store this gas at $30^{\circ} \mathrm{C}$ and 3 atmospheri...

The ionic strength of a solution containing $0.01 \mathrm{M}$ of $\mathrm{CaCl}_{2}$ and $0.001 \mathrm{M}$ of $\mathrm{Na}_{2} \mathrm{SO}_{4}$ is _________ $\mathrm{M}$...

The $\mathrm{pH}$ of a solution containing $0.1 \mathrm{M}$ of acetic acid and $0.05 \mathrm{M}$ of sodium acetate is __________ $\text{(rounded off to $2$ decimal places...

Consider the equation for a curve, $y=f(x)=x^{2}+x$.The area enclosed by the curve, the $x$-axis $\text{( $y=0$ line)}$; the vertical lines passing through $x=1$ and $x=2...

In a cyclone separator of radius $25 \mathrm{~cm}$, a particle is travelling with a gas stream at velocity of $18 \mathrm{~m} / \mathrm{s}$. The ratio of centrifugal forc...

With reference to the gate shown in the figure, the gate will start opening automatically when the water level ' $h$ ' above the hinge is __________ $\mathrm{m}$ $\text{(...

Consider a watershed and isohyets as shown in the figure. The average rainfall in the watershed is ___________ $\mathrm{mm}$ $\text{(an integer value)}$.

An industry discharges $2$ million liters per day $\text{(MLD)}$ of wastewater with a temperature of $45^{\circ} \mathrm{C}$ and a $\mathrm{pH}$ of $2$, whereas the neigh...

One million liters per day $\text{(MLD)}$ of wastewater with a soluble $\text{BOD}$ of $200 \mathrm{mg} / \mathrm{L}$ is treated in an activated sludge process. The $\tex...

The concentration of Ozone corresponding to a mixing ratio of $120 \mathrm{ppbv}$ at pressure of $1$ atmosphere and temperature of $25^{\circ} \mathrm{C}$ is ________ $\m...

A person consumes $2.5$ liters of water per day. The water quality test indicated that the supplied water has a $\mathrm{Pb}$ concentration of $0.6 \mathrm{mg} / \mathrm{...

For a biodegradable waste with a chemical formula $\mathrm{C}_{50} \mathrm{H}_{100} \mathrm{O}_{40} \mathrm{~N}$, the maximum theoretical methane production per ton of wa...

Food waste, paper waste and plastic waste have typical densities of $280 \mathrm{~kg} / \mathrm{m}^{3}, 80 \mathrm{~kg} / \mathrm{m}^{3}$, and $50 \mathrm{~kg} / \mathrm{...

Two hypothetical organic waste streams A and B are mixed prior to the composting process. Waste-A has $2.16 \%$ of $\mathrm{C}$ and $1.20 \%$ of N. Waste-B has $19.10 \%$...

An industrial stack emits $100 \mathrm{~g} / \mathrm{s}$ of $\mathrm{CO}$ at an effective height of ' $\mathrm{H}$ ', where the wind speed is $5 \mathrm{~m} / \mathrm{s}$...