Question

The cyclic process from $X$ to $Y$ is an isothermal process.
If the pressure of the gas at $X$ is $4.0kPa$, and the volume is $6.0m^3$, and if the pressure at $Y$ is $8.0kPa$, what is the volume of the gas at $Y$?

• A. $12.0m^3$
• B. $16.0m^3$
• C. $3.0m^3$
• D. $4.0m^3$

Answer 1

The correct option is C $3.0m^3$

Given : $P_x=4.0$ kPa
$V_x=6.0$ $m^3$
$P_y=8.0$ kPa

X to Y is an isothermal process, thus temperature remains constant, i.e $T=constant$ or $PV=constant$

$⟹$ $P_y{V}_y=P_x{V}_x$

$⟹$ $8.0\times V_y=4.0\times 6.0$

$⟹V_y=3.0$ $m^3$