Question

The pressure of a vessel is directly proportional to the its volume. If the pressure of the vessel is 5 Bar when the volume of the vessel is 20 Litres. Find the pressure when the volume of the vessel is 40 Litres.

• A. 10 Bar
• B. 5 Bar
• C. 2.5 Bar
• D. 20 Bar

Answer 1

The correct option is A 10 Bar

Given, the pressure (P) of a vessel is directly proportional to the its volume (V).
$\Rightarrow P\propto V$
Let the constant of variation be k.
$\Rightarrow P=kV$
Given, at P = 5 Bar, V = 20 Litres.
So, $k=\frac{P}{V}=\frac{5}{20}=\frac{1}{4}=0.25$
$\Rightarrow P=0.25V$
Hence, the pressure (P) when the volume of the vessel is 40 Litres = 0.25V = 0.25 (40) = 10 bar.