Recent questions tagged medium

Integrate: $\int \limits_0^{2 \pi} \sqrt {1-\sin \large\frac{x}{2} } dx$

asked Dec 16, 2013 by meena.p

1 answer

Integrate: $\int \limits_{-1}^1 x |x| dx.$

asked Dec 16, 2013 by meena.p

1 answer

For the parallel reactions depicted below, which of the following options are correct?

asked Dec 16, 2013 by sreemathi.v

1 answer

$\int \limits_0^1 |\sin 2zx| dx$

asked Dec 16, 2013 by meena.p

1 answer

$\int \limits_0^1 e^{x^2}. (x- \alpha) dx $. then , $\alpha =? $

asked Dec 16, 2013 by meena.p

1 answer

$I_1 = \int \limits _1^2 |x| dx ; I_2=\int \limits_1^2 \large\frac{1}{\sqrt {1+x^2}}$$ dx $

asked Dec 16, 2013 by meena.p

1 answer

For the reaction $A\rightarrow B$ the rate law expression $-\large\frac{d[A]}{dt}$$=k[A]^{1/2}$.Select the correct statement:

asked Dec 16, 2013 by sreemathi.v

1 answer

For the reaction $A\rightarrow B$ ,the rate law expression is $-\large\frac{d[A]}{dt}$$=k[A]^{3/2}$. If the initial concentration of $A$ is $[A]_0$, which of the following is true?

asked Dec 16, 2013 by sreemathi.v

1 answer

For reaction $C+D\rightarrow A+B$,the rate expression is rate=$k[C]^{1/2}[D]^{1/2}$ starting with initial concentration of 4M of C and D each,what is time taken for concentration of A to become 0.25M.Given :$k=2.303\times 10^{-2}sec^{-1}$

asked Dec 16, 2013 by sreemathi.v

1 answer

For first order decomposition reaction,$A(g)\rightarrow B(g)$ rate of formation of B against time t will be:

asked Dec 16, 2013 by sreemathi.v

1 answer

Which of the following is correct expression for an irreversible nth order reaction?

asked Dec 16, 2013 by sreemathi.v

1 answer

Given the following parallel reactions, where $\large\frac{k_1}{k_2}=\frac{1}{3}$. Initially only 4 moles of A are present. The total number of moles of A,B & C at the end of 50% reaction is:

asked Dec 16, 2013 by sreemathi.v

1 answer

$f(x^2) =x^3 (2+x^2),$$ f(x^2)= \int \limits_0^{x^3} f(t) dt,$ find $f(8)=?$

asked Dec 16, 2013 by meena.p

1 answer

$g(t) =\int \limits_o^t \sin ^6 x .dx$ find $g(\pi+t)$

asked Dec 14, 2013 by meena.p

1 answer

Integrate : $ \int \limits _0^{n \pi +v} |\cos x | dx $

asked Dec 14, 2013 by meena.p

1 answer

Find $\int \limits_2^{-1} f(x) dx\;$, given $\;\int \limits_{-1}^4 f(x) dx =4$ and$\;\int \limits_2^4 [3-f(x) ] dx=7$

asked Dec 13, 2013 by meena.p

1 answer

A parallelogram has adjacent sides $\overrightarrow a=3\overrightarrow p-\overrightarrow q\:\;and\:\:\overrightarrow b=\overrightarrow p+3\overrightarrow q$ where $ |\overrightarrow p|=|\overrightarrow q|=2$, and the angle between $\overrightarrow p\:\:and\:\:\overrightarrow q$ is $\large\frac{\pi}{3}$. The length of its diagonals are?

asked Dec 13, 2013 by rvidyagovindarajan_1

1 answer

$I_1= \int \limits_{(-2-k)}^{k+3} x f[x (1-x)].dx; \; I_2= \int \limits_{(-2-k)}^{k+3} x f[x (1-x)].dx; \; \large\frac{I_1}{I_2}=?$

asked Dec 13, 2013 by meena.p

1 answer

If a 2nd order reaction has the rate equation $R = k[A][B]$, and the rate constant, $k= 3.67\;M^{-1}s^{-1}$, $[A]$ is $4.5\;M$ and $[B]$ is $99\;M$, what is the rate constant of its pseudo-1st-order reaction?

asked Dec 13, 2013 by sreemathi.v

1 answer

Integrate : $\int \limits_0^{\infty} \large\frac{\log x}{1+x^2}$$dx$

asked Dec 13, 2013 by meena.p

1 answer

Integrate : $\int \limits_0^{\large\frac{\pi}{2}} \large\frac{\cos ^3 x}{\sin ^3 x + \cos ^3 x }$$ dx$

asked Dec 13, 2013 by meena.p

1 answer

Given the following reaction and its intermediate steps, calculate the relation between the rate of reaction of the resultant reaction and the rates of reaction of the intermediate steps.

asked Dec 13, 2013 by sreemathi.v

1 answer

$\int \limits_0^n \{x\} dx = \int \limits_0^n x-[x]dx=\large\frac{n}{2}$ if $n=2$ then $y=?$

asked Dec 13, 2013 by meena.p

0 answers

$y= \int \limits_0^n [x]dx=\large\frac{n(n-1)}{2}$ if $n=2$ then $y=?$

asked Dec 13, 2013 by meena.p

1 answer

Consider the following first order types of $Rx_n$ $x\;\; \underrightarrow {K_1}\;\;A+B,y\;\;\underrightarrow {K_2}\;\;C+D,z\;\;\underrightarrow{K_3}\;\; E+F$ if $50\%$ of $Rx_n$ y was completed when $7.5\%Rx_n$ of x and $87.5\%Rx_n$ of z completed then relation between $K_1,K_2$ & $K_3$

asked Dec 13, 2013 by sreemathi.v

1 answer

In an experiment (reactant $\rightarrow$ product) we observe that if we increase the reactant to twice then time taken in the concentration of reaction to drop to $\large\frac{1}{2}$ of its value is reduced to $\large\frac{1}{4}$ then order is

asked Dec 13, 2013 by sreemathi.v

1 answer

$\int \limits_1^4 \large\frac{2 e^{\Large \sin x^2}}{x}$$=f(k)-f(1)$ then find $k$=? if $\large\frac{d}{dx}$$f(x)=\Large\frac{e^{\sin x }}{\normalsize x}$

asked Dec 12, 2013 by meena.p

1 answer

Integrate : $\int \limits_0^{\large\frac{z}{2}}$$ \cos x \sin ^3 x dx$

asked Dec 12, 2013 by meena.p

1 answer

A graph between $1/[A]^2$ vs t is plotted below where [A] is conc of [A] at time t and $[A_o]$ is initial conc and K is the rate constant of a $Rx^n$ $nA\rightarrow$ product. What is the half life for the $Rx^n(t_{\large\frac{1}{2}})$

asked Dec 12, 2013 by sreemathi.v

1 answer

A graph between $1/[A]^2$ vs t is plotted below where [A] is conc of [A] at time t and $[A_o]$ is initial conc and K is the rate constant of a $Rx^n$ $nA\rightarrow$ product. What is the initial concentration of [A]

asked Dec 12, 2013 by sreemathi.v

1 answer

A graph between $1/[A]^2$ vs t is plotted below where [A] is conc of [A] at time t and $[A_o]$ is initial conc and K is the rate constant of a $Rx^n$ $nA\rightarrow$ product.What is the value of rate constant

asked Dec 12, 2013 by sreemathi.v

1 answer

Integrate : $\int \limits_0^{\infty} \large\frac{1}{(x^2+g^2)^7}dx$

asked Dec 12, 2013 by meena.p

1 answer

A graph between $1/[A]^2$ vs t is plotted below where [A] is conc of [A] at time t and $[A_o]$ is initial conc and k is the rate constant of a $Rx^n$ $nA\rightarrow$ product. What is the order of the $Rx^n$

asked Dec 12, 2013 by sreemathi.v

1 answer

Integrate :$\int \limits_0^1 \large\frac{1}{\sqrt {x-(z-x)}} $$dx$

asked Dec 12, 2013 by meena.p

1 answer

Integrate: $\int \large\frac{2}{3} \frac{e^x \sqrt {e^x-4}}{e^x+g}$$dt$

asked Dec 12, 2013 by meena.p

1 answer