Answer to Question #110755 in Molecular Physics | Thermodynamics for Melissa

Question

On a cold winter morning when the temperature is -13 Celsius the air pressure in an aoutomobile tire is 1.5 atm.if the volume does not change what is the pressure after the tire has warmed to 15 Celsius

Answer 1

Solution.

t₁=-13^oC;

P₁=1.5 atm;

t₂ =15^oC;

V = const;

If V = const then by the law of Charles: P/T = const; P₁/T₁ = P₂/T₂;

P₂ =(P₁$\sdot$ T₂)/T₁;

T₁ = t₁+273; T₁ = 260 K;

T₂ = t2 +273; T₂ =288 K;

P₂ = (1.5 atmâ‹… 288 K)/260 K =1.66 atm;

Answer: P₂ = 1.66 atm.