Question:
The pressure exerted by $5$ moles of a real gas in one litre vessel at $47^??$ is
$(a = 3.592 \,atm\, L^2\, mol^{-2}$, $b = 0.0427\, L\, mol^{-1})$
The pressure exerted by $5$ moles of a real gas in one litre vessel at $47^??$ is
$(a = 3.592 \,atm\, L^2\, mol^{-2}$, $b = 0.0427\, L\, mol^{-1})$
Updated On: Aug 1, 2022
- $149\, atm$
- $77.2\, atm$
- $47.4\, atm$
- $18.4\, atm$
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The Correct Option is B
Solution and Explanation
Applying, $\left(P+\frac{an^{2}}{V^{2}}\right)\left(V-nb\right)=nRT$
$a=3.592$, $b=0.0427$,
$V=1\,L$, $n=5\,mol$, $T=273+47=320\,K$
$R=0.0821\,L\,atm\,K^{-1}\,mol^{-1}$
$\left(P+\frac{3.592\times5^{2}}{1^{2}}\right)\left(1-5\times0.0427\right)$
$=5\times0.0821\times320$
$P=77.2\,atm$
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Concepts Used:
Pressure
Pressure is defined as the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Everyday examples of pressure are:
- The working of the vacuum cleaner is an example of pressure. The fan inside the vacuum creates a low-pressure region which makes it easy to suck the dust particles inside the vacuum.
- Using a knife for cutting is another example of pressure. The area exposed from the knife is small but the pressure is high enough to cut the vegetables and fruits.
Formula:
When a force of ‘F’ Newton is applied perpendicularly to a surface area ‘A’, then the pressure exerted on the surface by the force is equal to the ratio of F to A. The formula for pressure (P) is:
P = F / A
Units of Pressure:
The SI unit of pressure is the pascal (Pa)
A pascal can be defined as a force of one newton applied over a surface area of a one-meter square.