Question

Gas enclosed in 2 liters vessel is subjected to the pressure of 2 atm at an isothermal condition. What will be the resulting pressure of the gas if we increase the volume of the vessel to 4 liters?

• A. 2 atm
• B. 1 atm
• C. 3 atm
• D. 4 atm

Answer 1

The correct option is B

1 atm

When the temperature of a gas is kept constant, the volume of a fixed mass of gas is inversely proportional to its pressure.

$P_1{V}_1=P_2{V}_2$ (Boyle's Law Equation)

$\because$ $2\times 2=P_2\times 4$

$\therefore$ $P_2=\frac{4}{4}$

$P_2=1$