Question

An ideal gas is kept inside a $4L$ container at a temperature of $300K$ and a pressure of $6$ atmospheres. The pressure is held constant while the volume of the gas is doubled. Find out the new temperature of the gas?

• A. $1200K$
• B. $600K$
• C. $300K$
• D. $150K$
• E. $75K$

Answer 1

The correct option is B $600K$

Charle's law states that at constant pressure ,

$V\propto T$

or $T_2/T_1=V_2/V_1$

given- $T_1=300K,V_1=4L,V_2=2\times 4=8L$

therefore ,

$\frac{T_2}{300}=\frac{8}{4}$

or $T_2=300\times 8/4=600K$