QUESTION IMAGE
Question
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the pressure of a gas in a 10.0 l container is 1.6 atm. when the volume changes to 5.0 l, the pressure changes to atm.
Step1: Identify the gas - law formula
We use Boyle's law $P_1V_1 = P_2V_2$ for a given amount of gas at constant temperature.
Step2: Substitute the given values
Given $P_1=1.6$ atm, $V_1 = 10.0$ L, $V_2=5.0$ L. We need to find $P_2$. Rearranging the formula for $P_2$ gives $P_2=\frac{P_1V_1}{V_2}$.
Step3: Calculate $P_2$
$P_2=\frac{1.6\times10.0}{5.0}=\frac{16}{5}=3.2$ atm.
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