Question

the image shows a piston system where gas is compressed. if the uncompressed system is at a standard pressure of 1 atm, what is the pressure of the compressed piston?
___ atm
do not include units in your answer.

Explanation:

Step1: Apply Boyle's Law

Boyle's Law states \( P_1V_1 = P_2V_2 \). Let \( P_1 = 1\), \(V_1=V\), \(V_2 = 0.5V\).

Step2: Solve for \(P_2\)

Substitute values into \( P_1V_1 = P_2V_2 \): \(1\times V=P_2\times0.5V\). Divide both sides by \(0.5V\) (assuming \(V
eq0\)), so \(P_2=\frac{1\times V}{0.5V}=2\).

Answer:

2