Question

when a sample of gas in a syringe is compressed from 6 ml to 3 ml in volume, the pressure will...
a decrease by one - half of the original pressure.
b increase by one - half of the original pressure.
c increase by 2 times the original pressure.
d decrease by one - quarter of the original pressure.

Explanation:

Step1: Apply Boyle's Law

Boyle's Law states \(P_1V_1 = P_2V_2\). Let \(V_1 = 6\space mL\), \(V_2=3\space mL\). Then \(P_2=\frac{P_1V_1}{V_2}\).

Step2: Substitute values

Substitute \(V_1 = 6\) and \(V_2 = 3\) into the formula: \(P_2=\frac{P_1\times6}{3}=2P_1\).

Answer:

C. increase by 2 times the original pressure.