Question

Please show all of your work! :)

Answer 1

A) 3.9 atm

Step-by-step explanation:

Gay Lussac's Law Formula :

⇒ P₁/T₁ = P₂/T₂

Given :

• P₁ = 4.5 atm
• T₁ = 45.0 °C = 318 K
• T₂ = 3.1 °C = 276.1 K

Substituting the values :

• 4.5/318 = P₂/276.1
• P₂ = 276.1/318 x 4.5
• P₂ = 0.87 x 4.5
• P₂ = 3.915 atm ≈ 3.9 atm

The correct option is : A) 3.9 atm

Answer 2

A

Step-by-step explanation:

To answer this, we need to use Gay-Lussac's law, which states that:

`(P_1)/(T_1)= (P_2)/(T_2)` , where P is pressure and T is temperature

The initial pressure we're given is 4.5 atm (so P1 = 4.5) and the temperature is 45.0°C; however, we need to change Celsius to Kelvins, so add 273 to 45.0: 45.0 + 273 = 318 K (so T1 = 318).

The final pressure is what we want to find, but we do know the final temperature is 3.1°C. Converting this to Kelvins, we get: 3.1 + 273 = 276.1 K, which means T2 = 276.1.

Plug these values in:

`(P_1)/(T_1)= (P_2)/(T_2)`

`(4.5)/(318)= (P_2)/(276.1)`

Multiply both sides by 276.1:

`P_2` ≈ 3.9 atm

The answer is thus A.