Question

helium gas in a 2.00 L cylinder is under 1.12 atm pressure. At 36.5°C that same gas sample has a pressure of 2.56 atm. What was the initial temperature of the gas in the cylinder?​

Answer 1

T₁ = 135.41 K

Step-by-step explanation:

Given data:

Initial pressure = 1.12 atm

Finial temperature = 36.5 °C (36.5 +273 = 309.5 K)

Initial temperature = ?

Final pressure = 2.56 atm

Formula:

P₁/T₁ = P₂/T₂

P₁ = Initial pressure

T₁ = Initial temperature

P₂ = Final pressure

T₂ = Final temperature

Solution:

P₁/T₁ = P₂/T₂

T₁ = P₁T₂ /P₂

T₁ = 1.12 atm × 309.5 K / 2.56 atm

T₁ = 346.64 atm . K / 2.56 atm

T₁ = 135.41 K