What is its new temperature? - Show Work Please

Question

If 32.0 L of a gas at 25 °C and 1.00 atm is compressed into a volume of 3.20 L at a pressure of 5.0 atm, what is its new temperature? (Express your answer in Celsius).

Answer 1

If the amount of the gas is constant, you can use the relation

 

P₁V₁/T₁ = P₂V₂/T₂

 

T₂ = (P₂V₂ / P₁V₁) T₁

 

P₁ = 1.00 atm

 

V₁ = 32.0 L

 

T₁ = (25 + 273) °K = 298°K (make sure you convert to °K) 

 

P₂ = 5.0 atm

 

V₂ = 3.20 L

 

Substitute these values into

 

T₂ = (P₂V₂ / P₁V₁) T₁

 

You will get a temperature in °K.  Subtract 273 to get °C.  

 

You should be able to finish the solution from here.  Feel free to post a comment if you need further help.