Rearrange the following ($I$ to $IV$) in the order of increasing masses:
$(I)$ $0.5$ mole of $O_3$
$(II)$ $0.5 \, g$ atom of oxygen
$(III)$ $3.011 \times 10^{23}$ molecules of $O_2$
$(IV)$ $5.6 \, L$ of $CO_2$ at $STP$

  • A
    $II < IV < III < I$
  • B
    $II < I < IV < III$
  • C
    $IV < II < III < I$
  • D
    $I < II < III < IV$

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Match List-$I$ with List-$II$ and select the correct option (Based on mole concept):
List-$I$List-$II$
$(a)$ $2 \text{ moles of ethene}$$(i)$ $11.2 \text{ L volume at STP}$
$(b)$ $\text{Molar mass is equal to } 66 \text{ g}$$(ii)$ $56 \text{ g}$
$(c)$ $1 \text{ g of } H_2$$(iii)$ $12.04 \times 10^{23} \text{ molecules}$
$(d)$ $2 \text{ moles of water vapours}$$(iv)$ $1.5 \text{ mole of } CO_2$

The density of a liquid is $1.5 \, g/mL$. There are $50 \, drops$ in $5 \, mL$. The number of molecules in $1 \, drop$ is (molecular weight of liquid is $100$).

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At $T(K)$,a gaseous mixture contains $H_2$ and $O_2$. The total pressure of the mixture is $2 \ bar$. The partial pressure of $H_2$ is $1.778 \ bar$. What is the weight $(w/w)$ percentage of $H_2$ in the mixture?

What is the approximate volume occupied by $22.4 \, L$ of water vapor at $STP$ when it is condensed into liquid water?

The correct order of the total number of atoms present in
$(A)$ $2$ moles of cyclohexane
$(B)$ $684 \text{ g}$ of sucrose
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