States of Matter · JEE Main previous year questions

2023 7 questions

1. Q902023 · 13 Apr 2023 · Shift 1· Numerical answer

   A certain quantity of real gas occupies a volume of $0.15{\text{ dm}}^3$ at $100\text{ atm}$ and $500\text{ K}$ when its compressibility factor is 1.07 . Its volume at $300\text{ atm}$ and $300\text{ K}$ (When its compressibility factor is 1.4 ) is ___________ $\times 10^{-4}{\text{ dm}}^3$ (Nearest integer)

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   Answer: 392

2. Q782023 · 12 Apr 2023 · Shift 1

   Four gases A, B, C and D have critical temperatures $5.3$, $33.2$, $126.0$ and $154.3\text{ K}$ respectively. For their adsorption on a fixed amount of charcoal, the correct order is:

   1. A.$\mathrm{D}>\mathrm{C}>\mathrm{B}>\mathrm{A}$
   2. B.$\mathrm{C}>\mathrm{B}>\mathrm{D}>\mathrm{A}$
   3. C.$\mathrm{D}>\mathrm{C}>\mathrm{A}>\mathrm{B}$
   4. D.$\mathrm{C}>\mathrm{D}>\mathrm{B}>\mathrm{A}$
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   Answer: A

3. Q752023 · 8 Apr 2023 · Shift 2

   Arrange the following gases in increasing order of van der Waals constant 'a' A. $\mathrm{Ar}$ B. $\mathrm{C}{\mathrm{H}}_4$ C. ${\mathrm{H}}_2\mathrm{O}$ D. ${\mathrm{C}}_6{\mathrm{H}}_6$ Choose the correct option from the following.

   1. A.D, C, B and A
   2. B.A, B, C and D
   3. C.B, C, D and A
   4. D.C, D, B and A
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   Answer: B

4. Q802023 · 1 Feb 2023 · Shift 1

   Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R Assertion A: Amongst $\text{He},\text{Ne},\text{Ar}$ and $\text{Kr}$; $1\text{g}$ of activated charcoal adsorbs more of $\text{Kr}$. Reason R: The critical volume ${\text{V}}_c\left({\text{cm}}^3{\text{ mol}}^{-1}\right)$ and critical pressure ${\text{P}}_c\text{ (atm)}$ is highest for Krypton but the compressibility factor at critical point $Z_c$ is lowest for Krypton. In the light of the above statements, choose the correct answer from the options given below

   1. A.Both A and R are true and R is the correct explanation of A
   2. B.A is false but R is true
   3. C.Both A and R are true but R is NOT the correct explanation of A
   4. D.A is true but R is false
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   Answer: D

5. Q902023 · 31 Jan 2023 · Shift 1· Numerical answer

   The total pressure of a mixture of non-reacting gases $\mathrm{X}(0.6\text{ g})$ and $\mathrm{Y}(0.45\text{ g})$ in a vessel is $740\text{ mm of Hg}$. The partial pressure of the gas $\mathrm{X}$ is ___________ $\text{mm of Hg}$. (Nearest Integer) (Given : molar mass $\mathrm{X}=20$ and $\mathrm{Y}=45{\text{ g mol}}^{-1}$)

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   Answer: 555

6. Q902023 · 30 Jan 2023 · Shift 1· Numerical answer

   A $300\text{ mL}$ bottle of soft drink has $0.2\text{ M}$ ${\mathrm{CO}}_2$ dissolved in it. Assuming ${\mathrm{CO}}_2$ behaves as an ideal gas, the volume of the dissolved ${\mathrm{CO}}_2$ at STP is ___________ $\text{mL}$. (Nearest integer) Given : At STP, molar volume of an ideal gas is $22.7{\text{ L mol}}^{-1}$

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   Answer: 1362

7. Q792023 · 29 Jan 2023 · Shift 1
   
   1. A.$1+\frac{b}{V}$
   2. B.$1-\frac{a}{RTV}$
   3. C.$1+\frac{a}{RTV}$
   4. D.$1-\frac{b}{V}$
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   Answer: B