AP EAMCET · Chemistry · States of Matter

At 240.55 K , for one mole of an ideal gas, a graph of P (on $y$-axis) and $\mathrm{V}^{-1}$ (on $x$-axis) gave a straight line passing through origin. Its slope $(m)$ is $2000 \mathrm{~J} \mathrm{~mol}^{-1}$. What is the kinetic energy (in $\mathrm{J} \mathrm{mol}^{-1}$ ) of ideal gas?

A 2000
B 3000
C 6000
D 1500

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Answer & Solution

Correct Answer

(B) 3000

Step-by-step Solution

Detailed explanation

\begin{aligned} & \text { Kinetic energy }(\mathrm{K} . \mathrm{E})=\frac{3}{2} \mathrm{PV} \\ & \therefore \quad \mathrm{P}=\frac{2 \mathrm{KE}}{3} \times \frac{1}{\mathrm{~V}} \\ & \therefore \quad \mathrm{KE}=3000 \mathrm{~J} \mathrm{~mol}^{-1} \\ &…

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	$D)$ $∆ H_{1} = 3272, ∆ H_{2} = 5251, ∆_{Eg} H = + 48$

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At 240.55 K , for one mole of an ideal gas, a graph of P (on \(y\)-axis) and \(\mathrm{V}^{-1}\) (on \(x\)-axis) gave a straight line passing through origin. Its slope \((m)\) is \(2000 \mathrm{~J} \mathrm{~mol}^{-1}\). What is the kinetic energy (in \(\mathrm{J} \mathrm{mol}^{-1}\) ) of ideal gas?

Answer & Solution

Step-by-step Solution

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