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10 grams of Co-57 kept in an open container and it $\beta$ -decay with half life of 270 days. The weight of the material inside the container after 540 days will be nearly?

The concentration of potassium ions inside a biological cell is at least twenty times higher than the outside. The resulting potential difference across the cell is important in several processes such as transmission of nerve impulses and maintaining the ion balance. A simple model for such a concentration cell involving a metal M is:
$M\left(s\right)|M^{+}(aq;0.05molar)||M^{+}(aq;1molar)|M\left(s\right)$
For the above electrolytic cell the magnitude of the cell potential $|E_{cell}|=70mV$.

If the 0.05 molar solution of $M^{+}$ is replaced by a 0.0025 molar $M^{+}$ solution, then the magnitude of the cell potential would be

Which of the following amine liberates nitrogen gas on reaction with HNO₂ ?

$CaC{O}_3+\underset{excess}{C}\stackrel{\Delta }{\to }X+C{O}_2;X+N_2\to Y+C;Y+H_{2}O\to Z+CaC{O}_3.$

In the above sequence ‘Z’ is a covalent .The structure of its molecule is

Among H₂O, H₂S, H₂Se and H₂Te, the one with highest boiling point is:

A chemical $\left(A\right)$ is used for water softening to remove temporary hardness. $\left(A\right)$ reacts with sodium carbonate to generate caustic soda. When $C{O}_2$ is bubbled through the solution of $\left(A\right)$, it turns cloudy. What is the chemical formula of $\left(A\right)$?

Under constant temperature and pressure $50\text{ml}$ of gaseous mixture of acetylene and ethylene if taken in a ratio of $a:b$ requires $700\text{ml}$ of air containing $20\%$ by volume $O_2$ for complete combustion. Calculate the volume of air required for complete combustion of a mixture having ratio $b:a$ at same conditions of temperature and pressure.

For the cell reaction at ${25}^{\circ }C$,

$Mg\left(s\right)+2A{g}^{+}\left(aq\right)\rightleftharpoons M{g}^{2+}\left(aq\right)+2Ag\left(s\right)$

$E_{cell}^0=+3.17V$

The values of $E_{cell},\Delta G^0\text{and}Q$ respectively , at $\left[A{g}^{+}\right]={10}^{-3}M$ and $\left[M{g}^{2+}\right]=0.02M$ are:

Here,

$Q\text{is reaction quotient}$

$log2=0.301$

If Ramesh have 3 of 10 rupees notes, 4 of 50 rupees notes and 2 of 100 rupees notes. How many ways can he give none or some notes to his friend Ram if he gives at least one of 100 rupees note to Ram?

25.4g of $I_2$ and 14.2g of $C{l}_2$ are made to react completely to yield a mixture of $ICl$ and $IC{l}_3$ .Calculate moles of $ICl$ and $IC{l}_3$ formed.

Which of the following has highest thermal stability ?

In $Xe{F}_2,Xe{F}_4\text{and}Xe{F}_5$, the number of lone pairs of $Xe$ is respectively:

Formic acid on heating with conc.$H_{2}S{O}_4$ gives .

The coordination number of copper in [Cu(NH₃)₄]²⁺ is

Relative Lowering of vapour pressure is highest in aqueous solution for:

Which ore is malachite among the following?

Calculate the entropy change ($inJ{K}^{-1}$) when $220g$ of Carbon dioxide expands reversibly and isothermally from an initial volume of $1litre$ to $100litre$ at $600K$.

In Samwell's classes, the Maesters made the following statements. He had to figure out how many were right. Can you help him?



Maester 1 said: Rate constant is characteristic of a reaction

Maester 2 said: Rate constant is dependent on temperature

Maester 3 said: Rate constant is not dependent on the catalyst

Which of the following compounds has centre of symmetry?

Define Isotonic,hypertonic and hypotonic solutions

Calculate the pH of buffer solution prepared by mixing $50\text{ml}\text{of}0.1\text{M}$ sodium acetate and $25\text{ml of}0.2\text{M}$ $C{H}_{3}COOH\text{if}{\text{pK}}_a\text{of}C{H}_{3}COOH$ is $4.8$.

What will be the $H^{+}$ ion concentration of 0.01 M $HCN$ solution at equilibrium, if it is 20% ionised?