Question

1. gay - lussacs law shows a direct relationship between:

a. pressure and volume
b. volume and temperature
c. pressure and temperature
d. volume and moles

1. a gas has a volume of 3.0 l at a pressure of 2.0 atm. what will the volume be at 1.0 atm (temperature constant)?

a. 1.5 l
b. 3.0 l
c. 6.0 l
d. 2.0 l

Explanation:

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Gay - Lussac's Law states that for a given mass and constant volume of an ideal gas, the pressure is directly proportional to the absolute temperature.

Step1: Identify the relevant gas law

Boyle's Law is used as temperature is constant. It is $P_1V_1 = P_2V_2$.

Step2: Substitute the given values

Given $P_1 = 2.0$ atm, $V_1=3.0$ L, $P_2 = 1.0$ atm. We need to find $V_2$.
From $P_1V_1 = P_2V_2$, we can solve for $V_2=\frac{P_1V_1}{P_2}$.

Step3: Calculate $V_2$

$V_2=\frac{2.0\ atm\times3.0\ L}{1.0\ atm}=6.0$ L.

Answer:

C. Pressure and Temperature

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