Answer: The final pressure inside the tank will be B. 18.05 atm. Gay-Lussac's law is used to predict the changes in pressure or temperature of gases. According to this law, there is a direct relationship between pressure and temperature. As the temperature of gas increases, so, too, will the pressure increase and vice versa.
Further Explanation:
We use the mathematical expression of Gay-Lussac's law to find the final pressure in the tank:
It is very important to note that when using this equation, all temperatures must be expressed in Kelvin. The conversion from degree Celsius to Kelvin is:
In the problem, we are given the following information:
P(initial) = 23 atm
T(initial) = 293 K
P(final) = ?
T(final) = 230 K
Plugging in these values in the Gay-Lussac Equation, we get:
The tank was moved from a hotter to a cooler place. At cooler temperatures, gas particles move slower and frequency and strength of their collisions with each other and the wall of the containers decrease. This leads to a decrease in the pressure. Thus, the pressure drops from 23 atm to 18.05 atm when the tank is inside the freezer.
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Keyword: Gas Pressure, Temperature, Gay-Lussac's Law