the volume of a gas decreases to half of its original volume, but the gas maintains the same number of moles…
the volume of a gas decreases to half of its original volume, but the gas maintains the same number of moles and temperature. according to the ideal gas law, what will most likely happen to the pressure?\no it will double.\no it will decrease.\no it will increase slightly.\no it will remain the same.
Answer
Explanation:
Step1: Recall ideal gas law
$PV = nRT$
Step2: Set up initial and final states
Initial: $P_1V_1=nRT$, Final: $P_2V_2=nRT$ (since $n$ and $T$ are constant, and $R$ is a constant). So $P_1V_1 = P_2V_2$.
Step3: Substitute $V_2=\frac{1}{2}V_1$
$P_1V_1 = P_2\times\frac{1}{2}V_1$.
Step4: Solve for $P_2$
$P_2 = 2P_1$.
Answer:
It will double.