Chemistry

$k=A.e^{-\left(\frac{Ea}{RT}\right)}$

$\mathcal{l}nk=\mathcal{l}nA-\frac{Ea}{RT}$

$\Rightarrow \mathcal{l}nk=\mathcal{l}nA+\left(-\frac{Ea}{1000R}\right).\frac{1000}{T}$

Slope = $\frac{-Ea}{1000R}=-18.5$  

=> Ea = 18.5 * 1000 * 8.31 = 153.735 * 10³ J = 154 KJ

CH₄, O₃ & H₂O are green-house gases.

Anode, H₂ (g) -> 2H⁺ + 2e^-

Cathode, Cu²⁺ + 2e -> Cu (s)

Net cell reaction H₂ + Cu²⁺ -> 2H⁺ Cu (s)

$E_{cell}^0=E_{C{u}^{2+}/Cu}^0-E_{H^{+}/H_2}^0$

= 0.34 V – 0

= 0.34 V

$E_{cell}=E_{cell}^0-\frac{0.06}{2}log\frac{{\left[H^{+}\right]}^2}{\left[C{u}^{2+}\right]}$

$\begin{array}{l}\Rightarrow 0.576=0.34-\frac{0.06}{2}log\frac{{\left[H^{+}\right]}^2}{0.01}\\ \Rightarrow -log\left[H^{+}\right]=4.93\\ \Rightarrow pHofsolution=4.93~5\end{array}$

For isotonic solution

${?}_{injector}={?}_{Blood}$

$?C*0.082*300=7.47$

$?C=0.3\text{?}\text{?}mole/\mathcal{l}$

$=0.3*180gm/\mathcal{l}=54gm/\mathcal{l}$

2O₃(g) -> 3O₂

t = 0      a moles               0

-0.5a mole     +0.75a mole

At Eq.    0.5a mole         0.75a mole

Total moles at eq = 0.5a + 0.75 a = 1.25a

$P_{O_3}=x_{O_3}*P_T=\frac{0.5a}{1.25a}*1=\frac{2}{5}atm$

$P_{O_2}=x_{O_2}*p_T=\frac{0.75a}{1.25a}*1=\frac{3}{5}atm$

$K_p=\frac{{\left(P_{O_2}\right)}_{eq}^3}{{\left(P_{O_3}\right)}_{eq}^3}=\frac{{\left(\frac{3}{5}\right)}^3}{{\left(2/5\right)}^2}=1.35atm$

$\Delta G^{°}=-RT\mathcal{l}nKP$

$\begin{array}{l}=-8.3*300\mathcal{l}n1.35\\ =-747J/mole\end{array}$

The value of crystal field spilitting energy ${}_{}$ $\left({\Delta }_0\right)$ increases down the group. 5d series member will have more ${}_{}$ ${\Delta }_0$ compared to 3d series or 4d series member.

Unit cell = Hexagonal close packing (hcp)

No. of X in one unit cell = 6

No. of tetrahedral voids in one unit cell = 12

No. of Y in one unit cell = $\frac{2}{3}*12=8$ $\frac{}{}$

Formula => X₆ Y₈ => X₃ Y₄

% of X in unit cell $=\frac{3}{7}*100\mathrm{\%}=43\mathrm{\%}$ $\frac{}{}$

Phosphorous can expand its covalency beyond 4, as it has vacant 3d orbitals. Nitrogen can't expand its covelency beyond 4, as it does not posses vacant 3d- orbitals.

Fire extinguisher contains sodium Bicarbonate (NaHCO3), also known as baking soda.