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Question
- if two gases were at the same temperature, their ___ would be the same. kinetic energy masses volume 12. a weather balloon has a volume of 105l at 0.97 atm when the temperature is 318k. what is the volume at 293k and 1.05 atm? 89.4 l 93.8 l 0.32 l 3.13 l 14. as number of moles goes up, volume... goes down stays the same goes up
16.
According to the kinetic - molecular theory of gases, the average kinetic energy of gas molecules is directly proportional to the temperature. So when two gases are at the same temperature, their average kinetic energy is the same. Masses and volumes of gases can vary independently of temperature.
Step1: Recall the combined gas law formula
The combined gas law is $\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$.
Step2: Identify the given values
$P_1 = 0.97$ atm, $V_1=105$ L, $T_1 = 318$ K, $P_2 = 1.05$ atm, $T_2=293$ K.
Step3: Rearrange the formula to solve for $V_2$
$V_2=\frac{P_1V_1T_2}{T_1P_2}$.
Step4: Substitute the values
$V_2=\frac{0.97\times105\times293}{318\times1.05}$
$V_2=\frac{0.97\times293}{318}\times105$
$V_2=\frac{284.21}{318}\times105$
$V_2\approx0.894\times105 = 93.87\approx93.8$ L.
According to Avogadro's law, at constant temperature and pressure, the volume of a gas is directly proportional to the number of moles of the gas ($V = kn$, where $k$ is a constant). So as the number of moles goes up, the volume goes up.
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