Answer to Question #298002 in Molecular Physics | Thermodynamics for AJS

Question

An auto mobile tire is inflated to be 0398 as decimal plus 32 psig pressure at 50 degree Fahrenheit after being driven the temperature rises to 75 degree Fahrenheit. Assuming that the volume remains constant, the final gauge pressure is?

Answer 1

We know that

Idial gas equation

$T_1=50°F=283K\\T_2=75°F=297F$

$PV=nRT$

$\frac{P}{T}=\frac{R}{V}$

$\frac{P_1}{T_1}=\frac{P_2}{T_2}$

$P_2=\frac{P_1T_2}{T_1}$

$P_2=\frac{32\times297}{283}=33.58psia$