Recent questions tagged numerical-answers

A $6$-hour rainfall of $6$ cm at a station was found to have a return period of $40$ years.The probability that a $6$ -hour rainfall of this or larger magnitude will occu...

Water is flowing at the rate of $15 \mathrm{~m}^{3} / \mathrm{s}$ through a rectangular channel of $5$ $\mathrm{~m}$ width.If the acceleration due to gravity $(g)$ is $9....

The sound level measured at various locations in an urban area is given in the table.The average sound level for that area is $\_\_\_\_$ dBA (rounded off to two decimal p...

Standard deviation for the particulate matter (PM) concentrations listed in the table is $\_\_\_\_$ $\mu \mathrm{g} / \mathrm{m}^{3}$ (rounded off to one decimal place).$...

The mixing ratio of $\mathrm{CO}_{2}$ at a pressure of $1$ $\mathrm{atm}$ and at $300$ $\mathrm{K}$ is reported as $340$ $\mathrm{ppmv}$.Considering ideal gas conditions,...

Reaction $\mathrm{A} \rightarrow \mathrm{B}$ follows first-order elementary kinetics and the reaction rate constant for $\text{A}$ is $0.01$ per min.The time taken to red...

The following two reactions describe the chemistry of $\text{S(IV)}$ in an aquatic system.Under ideal conditions, the equilibrium constants for reactions $\text{(i)}$ and...

The calibration graph between absorbance and the concentration of chromate $\left(\mathrm{CrO}_{4}{ }^{2-}\right)$ in a water sample is shown in the figure.For an absorba...

A thermal process, at a specific temperature, results in $2-\log _{10}$ removal of non-thermotolerant pathogenic microorganisms from a water sample in $20$ min.The time n...

In a batch culture experiment, $2$ cells of a microorganism were added to a growth medium. During the experiment, a lag phase of $1$ hour was first experienced by the add...

A cylindrical roller gate of diameter $6.0$ $\mathrm{m}$ and length $10.0$ $\mathrm{m}$ is placed on a dam to store water behind it, as shown in figure.The magnitude of t...

The mass curve of a rainfall event of $100$ $\mathrm{min}$ duration over a catchment is given in the table.If the initial loss is $0.6$ $\mathrm{cm}$ and $\phi$-index is ...

A well penetrates an unconfined aquifer. The water level (i.e., head) in the well prior to pumping is $25$ $\mathrm{m}$. After a long period of pumping at a constant rate...

A sewage treatment plant employing activated sludge process is operated under the following conditions:Wastewater flow rate into the aeration $\operatorname{tank}=0.150 \...

A continuous flow stirred tank reactor (CSTR) operates under a steady-state condition with a flow rate of $300$ $\text{L}$ per hour. The influent concentration of a subst...

In a stack emission measurement at an industry, the stack cross-sectional area at $30$ m height was divided into four equal sectors. The measured velocities and $\mathrm{...

An anaerobic digestion system is operated for methane gas generation from organic fraction of municipal solid waste $\text{(OFMSW)}$. The moisture content and volatile so...

The characteristics of two types of solid waste are given in the table.The quantity of sludge to be added to leaves to achieve a $\mathrm{C} / \mathrm{N}$ ratio of $25$ (...

The concentration of chemical $\text{A}$ in ambient air is $50 ~\mu \mathrm{~g} / \mathrm{m}^{3}$ and the toxicological index limit for a threshold health effect for this...

The area in the first quadrant bounded by the function $y=(8-x)$ and the coordinate axes is $\_\_\_\_$ square units (answer in integer).