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volume is constant (because the tyre has a virtually fixed volume).
Then using,
P₁/T₁ = P₂/T₂
Because the gauge measures the pressure difference, the initial
actual pressure inside the tyre is:
P₁ = 14 + 29 = 43 psi
Initial temperature: T₁ = 273 + 20 = 293K (must use absolute
temperatures for the formula)
Final temperature: T₂ = 273 + 39 = 312K
43/293 = P₂/312
P₂ = 45.788 psi
(The gauge would read 45.788 - 14 = 31.788 psi)
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