$A$ gas at the temperature $250\, K$ is contained in a closed vessel. If the gas is heated through $1\, K$, then the percentage increase in its pressure will be .... $\%$

If $a_k$ is the coefficient of $x^k$ in the expansion of $(1+x+x^2)^n$ for $k=0, 1, 2, \ldots, 2n$,then $a_1+2a_2+3a_3+\ldots+2na_{2n}$ is equal to

The number of atoms in $0.1 \ mol$ of a triatomic gas is $(N_A = 6.02 \times 10^{23} \ mol^{-1})$

$ ( X ) + K_2CO_3 + Air \xrightarrow{heat} ( Y ) $
$ ( Y ) + Cl_2 \longrightarrow ( Z ) $ Pink
Which of the following is correct ?

Let $P, Q, R$ and $S$ be the points on the plane with position vectors $-2 \hat{i}-\hat{j}$,$4 \hat{i}$,$3 \hat{i}+3 \hat{j}$ and $-3 \hat{i}+2 \hat{j}$ respectively. Then the quadrilateral $PQRS$ must be a

Group $13$ elements show $+1$ and $+3$ oxidation states. The relative stability of the $+3$ oxidation state is given by: