At 300k, the pressure inside a gas-filled container is 500 kpa. if the pressure inside decreases to 100 kpa, but the volume remains the same, what is the final temperature of the gas? answers: a.) 240 k b.) 180 k c.) 30 k d.) 60 k

The final temperature of the gas is 60K

Explanation:

The gas law to be used here is Gay-Lussac's law which states that the pressure of a given mass of gas is directly proportional to its temperature in kelvin provided volume remains constant. The law can be represented with the formula below

P₁/T₁ = P₂/T₂

where P₁ is the initial pressure (500 kPa)

T₁ is the initial temperature (300K)

P₂ is the final pressure (100 kPa)

T₂ is the final temperature (unknown)

Hence,

500/300 = 100/T₂

T₂ =

T₂ = 60K

Hence, the final temperature of the gas is 60K

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