A 350 mL sample of gas has a temperature of 30°C and a pressure of 1.20 atm. What temperature
would be needed for the same amount of gas to fit into a 250 mL flask at standard pressure?

Respuesta :

Neetoo

Answer:

T₂ = 180.4 K

Explanation:

According to general gas equation:

P₁V₁/T₁ = P₂V₂/T₂

Given data:

Initial volume = 350 mL

Initial pressure = 1.20 atm

Initial temperature = 30 °C (30 +273 = 303 K)

Final volume = 250 mL

Final pressure = 1 atm

Final temperature = ?

Solution:

P₁V₁/T₁ = P₂V₂/T₂

T₂  =   P₂V₂ T₁ /P₁V₁

T₂ = 1 atm × 250 mL × 303 K / 1.20 atm × 350 mL

T₂ =  75750 atm .mL.  K  / 420 atm. mL

T₂ = 180.4 K

180.4 K temperature would be needed for the same amount of gas to fit into a 250 mL flask at standard pressure.

How we calculate temperature using ideal gas equation?

Ideal gas equation for the calculation of temperature will be represented as:

P₁V₁/T₁ = P₂V₂/T₂, where

P₁ = Initial pressure = 1.20 atm

V₁ = Initial volume = 350 mL

T₁ = Initial temperature = 30 °C = 30 +273 = 303 K

P₂ = Final pressure = 1 atm

V₂ = Final volume = 250 mL

T₂ = Final temperature = to find?

On putting all these values on the above equation and calculating for T₂ as:

T₂ = 1 atm × 250 mL × 303 K / 1.20 atm × 350 mL = 180.4 K

Hence, 180.4 K is the needed temperature.

To know more about ideal gas equation, visit the below link:

https://brainly.com/question/25290815