To determine the strength of the given $11.2$ volume solution of hydrogen peroxide ($H_2O_2$), we need to understand the concept of volume strength. Volume strength is defined as the volume of oxygen gas at standard temperature and pressure (STP) that is released from one volume of $H_2O_2$ solution on decomposition.
The reaction for decomposition of $H_2O_2$ is as follows:
\(2H_2O_2 \rightarrow 2H_2O + O_2\)
Here, one mole of $H_2O_2$ decomposes to release half a mole of $O_2$. At STP, 1 mole of $O_2$ occupies $22.4$ L.
Given: $11.2$ volume strength means $1$ liter of $H_2O_2$ solution releases $11.2$ L of $O_2$ at STP.
The correct answer is $3.4\%$. Hence, the strength of this $11.2$ volume solution of $H_2O_2$ is $3.4\%$.
The freezing point depression constant (\( K_f \)) for water is \( 1.86 \, {°C·kg/mol} \). If 0.5 moles of a non-volatile solute is dissolved in 1 kg of water, calculate the freezing point depression.