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:
[tex]p\propto \frac{1}{V}[/tex]
where
p is the pressure of the gas
V is its volume
For a gas transformation, the equation can be rewritten as
[tex]p_1 V_1 = p_2 V_2[/tex]
where in this problem:
[tex]p_1 = 102 kPa[/tex] is the initial pressure
[tex]V_1=48 cm^3[/tex] is the initial volume
[tex]V_2=5.2 cm^3[/tex] is the final volume
Solving for p2, we find the final pressure:
[tex]p_2 = \frac{p_1 V_1}{V_2}=\frac{(102)(48)}{5.2}=941.5 kPa[/tex]
