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30 volume hydrogen peroxide means:
A ) \[30\% {{\text{H}}_2}{{\text{O}}_2}\] solution.
B ) \[30{\text{ c}}{{\text{m}}^3}\] of solution contains \[1{\text{ g of }}{{\text{H}}_2}{{\text{O}}_2}\].
C ) \[{\text{1 c}}{{\text{m}}^3}\] of the solution liberates \[30{\text{ c}}{{\text{m}}^3}\] of \[{{\text{O}}_2}\] at STP.
D ) \[30{\text{ c}}{{\text{m}}^3}\] of solution contains \[1{\text{ mol of }}{{\text{H}}_2}{{\text{O}}_2}\].

Answer
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Hint: Volume strength of hydrogen peroxide is the volume of oxygen gas liberated at STP from \[{\text{1 c}}{{\text{m}}^3}\] of hydrogen peroxide solution. For a x volume hydrogen peroxide solution, \[{\text{1 c}}{{\text{m}}^3}\] of the solution liberates \[x{\text{ c}}{{\text{m}}^3}\] of \[{{\text{O}}_2}\] at STP.

Complete step by step answer:
Let us discuss the options one by one:
A ) \[30\% {{\text{H}}_2}{{\text{O}}_2}\] solution is approximately equal to 10 volume hydrogen peroxide solution. Hence, the option A ) is ruled out.
B ) \[30{\text{ c}}{{\text{m}}^3}\] of solution may or may not contains \[1{\text{ g of }}{{\text{H}}_2}{{\text{O}}_2}\]. It depends on the concentration of hydrogen peroxide solution. The amount of solute present in a given volume of solution depends on the concentration of the solution. Hence, the option B ) is ruled out.
C ) For a 30 volume hydrogen peroxide solution, \[{\text{1 c}}{{\text{m}}^3}\] of the solution liberates \[30{\text{ c}}{{\text{m}}^3}\] of \[{{\text{O}}_2}\] at STP.
This is as per the definition of volume strength of hydrogen peroxide solution. Hence, the option C ) is the correct option.
D ) \[30{\text{ c}}{{\text{m}}^3}\] of solution may or may not contain \[1{\text{ mol of }}{{\text{H}}_2}{{\text{O}}_2}\].
It depends on the concentration of hydrogen peroxide solution. The number of moles of solute present in a given volume of solution depends on the concentration of the solution. Hence, the option D ) is ruled out.

Hence, the correct option is the option C ) \[{\text{1 c}}{{\text{m}}^3}\] of the solution liberates \[30{\text{ c}}{{\text{m}}^3}\] of \[{{\text{O}}_2}\] at STP.

Note: Volume strength of hydrogen peroxide solution is a method of expressing the concentration of hydrogen peroxide solution. Volume strength of hydrogen peroxide solution can be converted to other methods of expressing the concentration such as molarity, normality or weight percent by using appropriate formulae.