AP EAMCET · Chemistry · Solid State

Gold crystallises in fcc lattice. The edge length of the unit cell is $4 Å$. The closest distance between gold atoms is ' $x$ ' $Å$ and density of gold is ' $y$ ' $\mathrm{g} \mathrm{cm}^{-3}$. What are $x$ and $y$ respectively?
$\left(\right.$ Molar mass of gold $\left.=197 \mathrm{~g} \mathrm{~mol}^{-1} ; \mathrm{N}=6 \times 10^{23} \mathrm{~mol}^{-1}\right)$

A $\sqrt{2}, 41.04$
B $2 \sqrt{2}, 20.52$
C $2 \sqrt{3}, 10.25$
D $\sqrt{3}, 5.15$

Verified Solution

Answer & Solution

Correct Answer

(B) $2 \sqrt{2}, 20.52$

Step-by-step Solution

Detailed explanation

NO SOLUTION

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Match the following elements, given as hints to their first, second ionization enthalpies and
electron gain enthalpies.

List- $I$	List- $II$
$i)$ Most reactive non-metal	$A)$ $∆ H_{1} = 419, ∆ H_{2} = 3051, ∆_{Eg} H = - 48$
$ii)$ Most reactive metal	$B)$ $∆ H_{1} = 1681, ∆ H_{2} = 3374, ∆_{Eg} H = - 328$
$iii)$ Least reactive element	$C)$ $∆ H_{1} = 738, ∆ H_{2} = 1451, ∆_{Eg} H = - 40$
$iv)$ Metal forming binary halide	$D)$ $∆ H_{1} = 3272, ∆ H_{2} = 5251, ∆_{Eg} H = + 48$

AP EAMCET 2020 Easy

If the osmotic pressure of cane sugar solution is $2.46 \mathrm{~atm}$ at $27^{\circ} \mathrm{C}$, then what is the concentration (in $\mathrm{mol} \mathrm{L}^{-1}$ ) of the solution ( $\left.\mathrm{R}=0.0821 \mathrm{~L} \mathrm{~atm} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right)$

AP EAMCET 2023 Medium

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