Answer

Verified

413.4k+ views

**Hint:**Vapor pressure of a solution can be found using Raoult’s Law. According to this law, the partial vapor pressure of a component in a mixture is equal to the vapor pressure of the pure component at that temperature multiplied by its mole fraction in the mixture.

**Formula used:**$p={{p}_{o}}{{x}_{A}}$

$p\to $vapor pressure of solution

${{p}_{0}}\to $vapor pressure of pure component

${{\text{x}}_{A}}\to \text{ }$mole fraction

${{\text{x}}_{A}}=\dfrac{{{n}_{A}}}{{{n}_{B}}+{{n}_{B}}}$

Where ${{n}_{A}}\to $no. of moles of pure component (water)

Where ${{n}_{B}}\to $no. of moles of glucose

**Complete answer:**

Vapor Pressure: It is a measure of the tendency of a material to change into gaseous or vapor state.

Mole fraction: It is defined as the unit of amount of constituents divided by the total amount of all constituents in a mixture.

Given,

${{n}_{B}}$(number of moles of glucose)$=0\cdot 1$

${{n}_{B}}$(number of moles of water)$=\dfrac{\text{Given weight of substance}}{\text{Molar mass}}$

Molar mass for water$\left( {{\text{H}}_{2}}\text{O} \right)=2\times 1$(for${{\text{H}}_{2}})+16$(for O)

$=2+16=18$

So,

${{n}_{A}}=\dfrac{178\cdot 2}{18}=9\cdot 9$

${{x}_{A}}=\dfrac{{{n}_{A}}}{{{n}_{A}}+{{n}_{B}}}=\dfrac{9.9}{9\cdot 9+0\cdot 1}=\dfrac{9.9}{10\cdot 0}=0\cdot 99$

$\begin{align}

& \text{So, vapour pressure of solution (p)=}{{\text{p}}_{0}}{{x}_{A}} \\

& \\

\end{align}$

$=19\cdot 8\times 0\cdot 99$

$=19\cdot 602mm$ .

**So, the correct answer is “Option B”.**

**Additional Information:**

Raoult’s law was given by Francois-Marie Raoult in 1887. It is used to estimate the contribution of individual components of a liquid or solid mixture to the total pressure exerted by the system, especially for discrete mixtures where the quantity of each component is known.

**Note:**

Study about Raoult’s Law, mole fraction and the partial vapor pressure of mixtures. Ideal Solution is the solution in which molecular interactions between solute molecules are absolutely zero, and it follows Raoult’s Law. Positive Deviation from Raoult’s Law occurs when the vapor pressure of the components is greater than what is expected in Raoult’s Law. Negative Deviation in Raoult’s Law means that we find a lower than expected vapor pressure for the solution.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

A group of fish is known as class 7 english CBSE

The highest dam in India is A Bhakra dam B Tehri dam class 10 social science CBSE

Write all prime numbers between 80 and 100 class 8 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Onam is the main festival of which state A Karnataka class 7 social science CBSE

Who administers the oath of office to the President class 10 social science CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Kolkata port is situated on the banks of river A Ganga class 9 social science CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE