Question

What pressure is required to reduce the volume

Answer 1

Answer:

941.4 kPa

Explanation:

To solve this problem, we can use Boyle's Law, which states that:

"For a fixed mass of an ideal gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume"

Mathematically:

$p\propto \frac{1}{V}$

where

p is the pressure of the gas

V is its volume

For a gas transformation, the equation can be rewritten as

$p_1 V_1 = p_2 V_2$

where in this problem:

$p_1 = 102 kPa$ is the initial pressure

$V_1=48 cm^3$ is the initial volume

$V_2=5.2 cm^3$ is the final volume

Solving for p2, we find the  final pressure:

$p_2 = \frac{p_1 V_1}{V_2}=\frac{(102)(48)}{5.2}=941.5 kPa$