Class 11th

For a reaction X + Y = 2Z, 1.0 mol of X, 1.5 mol of Y and 0.5 mol of Z were taken in a 1 L vessel and allowed to react. At equilibrium, the concentration of Z was 1.0 mol L⁻¹. The equilibrium constant of the reaction is x/15. The value of x is

For $a>0$ $$ , let the curves $C_1:y^2=ax$ ${}_{}{}^{}$ and $C_2:x^2=$ ${}_{}{}^{}$ ay intersect at origin $O$ $$ and a point $$ $P$ . Let the line $x=b(0<b<c)$ $$ intersect the chord $OP$ $$ and the $x$ $$ - axis at points $$ $Q$ and $R$ $$ , respectively. If the line $x=b$ $$ bisects the area bounded by the curves, $C_1$ ${}_{}$ and ${}_{}$ , and the area of $\frac{}{}$ $?\mathrm{O}\mathrm{Q}\mathrm{R}=\frac{1}{2}$ , then 'a' satisfies the equation:

For a dimerization reaction, 2A(g) → A₂(g), at 298 K, ∆Uᶱ = -20 kJmol⁻¹, ∆Sᶱ = -30 JK⁻¹mol⁻¹, then the ∆Gᶱ will be J.

If the equation, $x^2+bx+45=0(b\in R)$ ${}^{}$ has conjugate complex roots and they satisfy $\text{exception 25:}$ $|z+1|=2\sqrt[]{10}$ , then:

Let two points be $A(1,-1)$ $$ and $$ $B\left(\mathrm{0,2}\right)$ . If a point $P\left(x^{\mathrm{\text{'}}},y^{\mathrm{\text{'}}}\right)$ $\left({}^{}{}^{}\right)$ be such that the area of $?PAB=5$ $$ sq. units and it lies on the line, $3x+y-4\lambda =0$ $$ , then a value of $\lambda$ $$ is:

The one that is NOT suitable for the removal of permanent hardness of water is:

${\mathrm{l}\mathrm{i}\mathrm{m}}_{x\to 0}?{\left(\frac{3x^2+2}{7x^2+2}\right)}^{1/x^2}$  is equal to:

Hydrogen peroxide, in the pure state, is:

The increasing order of boiling points of the following compounds is:

The correct statement about probability density (except at infinite distance from nucleus) is: