Question

A gas has a volume of $580c{m}^3$ at a certain pressure.If its pressure is increased by 0.96 atm,its volume becomes $100c{m}^3$.The new pressure of the gas is:

• A. 1.16 atm
• B. 1.60 atm
• C. 1.75 atm
• D. 1.25 atm

Answer 1

Answer: (A)

1.16 atm

Let the original pressure be x atm, the new pressure will be x+0.96 atm.
The volume decreases from 580 $c{m}^3$ to 100 $c{m}^3$
But $PV=P^{\prime }{V}^{\prime }$
Hence, $580x=100(x+0.96)$
$5.8x=x+0.96$
$4.8x=0.96$
$x=0.2$
The new pressure of gas is $xatm+0.96atm=0.2atm+0.96atm=1.16atm$