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the pressure in a sealed plastic container is 108 kPa at 41 degrees Celsius. What is the pressure when the temperature drops to 22 degrees Celsius? Assume that the volume has not changed.

Respuesta :

Answer: The new pressure will be 101.46 kPa.

Explanation:

To calculate the new pressure, we use the equation given by Gay-Lussac Law. This law states that pressure is directly proportional to the temperature of the gas at constant volume.

The equation given by this law is:

[tex]\frac{P_1}{T_1}=\frac{P_2}{T_2}[/tex]

where,

[tex]P_1\text{ and }T_1[/tex] are initial pressure and temperature.

[tex]P_2\text{ and }T_2[/tex] are final pressure and temperature.

We are given:

By using conversion factor:   [tex]T(K)=T(^oC)+273[/tex]

[tex]P_1=108kPa\\T_1=41^oC=314K\\P_2=?kPa\\T_2=22^oC=295K[/tex]

Putting values in above equation, we get:

[tex]\frac{108kPa}{314K}=\frac{P_2}{295K}\\\\P_2=101.46kPa[/tex]

Hence, the new pressure will be 101.46 kPa.

If the temperatue of the sealend plastic container changes from 41°C to 22°C so pressure decreases from 108 kPa to 101.46 kPa.

What is Gay-Lussac Law?

Gay-Lussac Law of gases states that at constant volume of the sample pressure of the gas is directly proportional to the

(in Kelvin) of the gas, and it is represented as:

P₁/T₁ = P₂/T₂, where

P₁ = initial pressure = 108 kPa

T₁ = initial temperature = 41 degree C = 314K

P₂ = final pressure = ?

T₂ = final temperature = 22 degree C = 295K

On putting values, we get

P₂ = (108)(295) / (314) = 101.46 kPa

Hence resultant pressure is 101.46 kPa.

To know more about Gay-Lussac Law, visit the below link:

https://brainly.com/question/24002551