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Question

Identify the correct statements:

A) The molality of 2.5 g of ethanoic acid (Molar mass: $60\text{ }g{\text{ }mol}^{- 1}$ ) in 75 g of benzene solution is 0.556 m.

B) The molarity of a solution containing 5 g of NaOH (molar mass: $40\text{ }g{\text{ }mol}^{- 1}$ ) in 450 mL of solution is 0.278 M at 298 K.

C) Aquatic species are more comfortable in cold water.

D) The solubility of gas increases with decrease in pressure.

E) For a binary mixture of A and B, the number of moles of A and B are $n_{A}$ and $n_{B}$ respectively. The mole fraction of $B$ will be $x_{B} = \frac{n_{A}}{n_{A} + n_{B}}$.

Choose the correct Ans. from the options given below:

Options

A.A, B and C only
B.A and B only
C.A and C only
D.A, D and E only

Solution

Sol. [Key Concept: Evaluating the correctness of given statements]

A) Molality $= \frac{2.5}{60} \times \frac{1000}{75} = 0.556$ molal

B) Molarity $= \frac{5}{40} \times \frac{1000}{450} = 0.278M$

C) Aquatic species are more comfortable in cold water

$$\text{~}\text{Henry's Law}\text{~}K_{H} \propto \text{~}\text{Temp}\text{~} \propto \frac{1}{\text{~}\text{solubility}\text{~}}$$

D) According to Henry's Law,

$${\begin{matrix} & P = K_{H}X \\ & P \propto X \\ & P \propto \text{~}\text{Solubility}\text{~} \end{matrix} }{ So\ as\ P \uparrow}$$, solubility ↑

E)$\ x_{B} = \frac{n_{B}}{n_{A} + n_{B}}$

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