7.) A syringe initially holds a sample of gas with a volume of 285 mL at 355 K and 1.88 atm. To

what temperature must the gas in the syringe be heated/cooled in order to have a volume of 435

mL at 2.50 atm?

A) 139 K

B) 572 K

C) 175 K

D) 466 K

E) 721 K

T₂ = 721 k

Explanation:

Given dа ta:

Initial volume = 285 mL

Initial pressure = 1.88 atm

Initial temperature = 355 K

Final temperature = ?

Final volume = 435 mL

Final pressure = 2.50 atm

Formula:

P₁V₁/T₁ = P₂V₂/T₂

P₁ = Initial pressure

V₁ = Initial volume

T₁ = Initial temperature

P₂ = Final pressure

V₂ = Final volume

T₂ = Final temperature

Solution:

P₁V₁/T₁ = P₂V₂/T₂

T₂ = P₂V₂ T₁ / P₁V₁

T₂ = 2.50 atm * 435 mL * 355 K / 1.88 atm * 285 mL

T₂ = 386062.5 atm. mL. K / 535.8 atm. mL

T₂ = 721 k