Class 12th

Using ; Nernst equation

$E_{cell}=E_{cell}^o-\frac{0.06}{n}lo{g}_{10}\frac{\left[C{u}^{2+}\right]}{{\left[A{g}^{+}\right]}^2}$              

$E_{cell}=2.97-\frac{0.06}{2}lo{g}_{10}\frac{0.25}{10^{-6}}V$              

$=2.97-0.03\left(log2.5+5\right)V$              

$E_{cell}=2.8V$              

Ans. is 3 (the nearest integer)

Using the successive percentage change rule, we have

$-25+x-\frac{25x}{100}=20$

$\frac{3x}{4}=45$

x =60%

We have to find last non zero digit by 4 so we will eliminate 0 in question so now it becomes 104925 = 4 as 4odd = 4

Density, $\rho =7.62gc{m}^{-3}$  

Cell edge, a = 0.4518nm = 0.458 * 10^-7 cm

Effective number of atoms, Z = 4 for CCP.

Using ; $\rho =\frac{Z*A}{N_A*a^3}$  

$\rho =\frac{4*A}{6.022*10^{23}*{\left(0.458*10^{-7}\right)}^3}$              

$7.62=\frac{4*A}{6.022*{\left(0.4518\right)}^3*10^2}$              

A = 105.79 g/mol

Ans. is 106 (the nearest integers)

It is given that they were paid in the ratio 4 : 5 : 6 s for doing the job.

So, maximum amount would have been got by z and the minimum amount obtained by x.

Amount obtained by x = $\frac{}{}$ $=4*\frac{T}{15}$

where T is the total amount that all of them got together.

Amount obtained by z   $=6*\frac{T}{15}$ $\frac{}{}$

Now as per the problem,

$=6*\frac{T}{15}-4*\frac{T}{15}=300$

$=2*\frac{T}{15}=300$

T = Rs. 2250

Share of x and z $=6*\frac{T}{15}+4*\frac{T}{15}=10*\frac{T}{15}=$ $\frac{}{}\frac{}{}\frac{}{}$ Rs. 1500

2¹⁸⁹ – 2¹⁸⁸ – 2¹⁸⁸ = 2¹⁸⁸ (2² – 2 – 2) = 0

$\frac{100}{3}\mathrm{\%}\text{?}\text{?}=\text{?}\text{?}\frac{x}{1000\text{?}\text{?}?\text{?}\text{?}x}\text{?}\text{?}*\text{?}\text{?}100\mathrm{\%}$

x = 250

Hence, he uses weight, 1000 – 250 = 750 g

For first order reaction, using

$K=\frac{2.303}{t}lo{g}_{10}\frac{{\left[R\right]}_0}{\left[R\right]}$              

$K=\frac{2.303}{60}\left(0.477-0.301\right)mi{n}^{-1}$              

$K=6.7*10^{-3}mi{n}^{-1}$              

Ans. is 7 (the nearest integer)

Let other number be x.

6 * 84 = 12 * x

x = 42

the highest power =   $\frac{80}{9}$  = 8