Question

The volume of gas varies directly as the temperature and inversely as the pressure. If the volume is $230$ cubic centimeters when the temperature is $300K$ and the pressure is $20$ pounds per square centimeter, what is the volume when the temperature is $270K$ and the pressure is $30$ pounds per square centimeter?

• A. $123$ cu cm
• B. $138$ cu cm
• C. $136$ cu cm
• D. None of these

Answer 1

The correct option is B $138$ cu cm

$y=\frac{kx}{z}\Rightarrow a=\frac{kt}{p}$
$230=\frac{k(300}{2}$
$4600=300k$
$k=\frac{46}{3}$
$v=\frac{46t}{3p}$
$v=\frac{46\left(270\right)}{3\left(30\right)}$
$v=46\left(30\right)$
$v=138$ cu cm