Question

If the pressure acting on an ideal gas that is kept at constant temperature is multiplied by four, its volume

• A. triples
• B. reduces to $1/3$
• C. increased by four
• D. reduces to $1/4$
• E. there is not enough information to tell

Answer 1

The correct option is D reduces to $1/4$

We know by Boyle's law , at constant temperature for an ideal gas ,

$V\propto 1/P$

or $V_2/V_1=P_1/P_2$

given - $P_1=P,P_2=4P,V_1=V$

therefore , $V_2/V=P/4P$

$V_2=V/4$

volume reduces to $1/4$.