Question

if a certain gas occupies a volume of 14 l when the applied pressure is 7.0 atm, find the pressure when the gas occupies a volume of 35 l. express your answer to two significant figures and include the appropriate units.

Explanation:

Step1: Recall Boyle's law

$P_1V_1 = P_2V_2$

Step2: Identify given values

$P_1 = 7.0\ atm$, $V_1=14\ L$, $V_2 = 35\ L$

Step3: Solve for $P_2$

$P_2=\frac{P_1V_1}{V_2}=\frac{7.0\ atm\times14\ L}{35\ L}$
$P_2 = 2.8\ atm$

Answer:

2.8 atm