Abicycle tire is filled with air to a pressure of 100. psi at a temperature of 19c. riding the bike on asphalt on a hot day increases the temperature of the tire to 58? c. the volume of the tire increases by 4.0%. what is the new pressure in the bicycle tire?

108.9897 psi

Explanation:

Using Ideal gas equation for same mole of gas as

Given ,  

Let V₁ = x units

The new volume increases by 4 % which means

V₂ = x + 0.04x = 1.04 x

P₁ = 100 psi

P₂ = ?

T₁ = 19 ºC

T₂ = 58 ºC

The conversion of T( °C) to T(K) is shown below:

T(K) = T( °C) + 273.15  

So,  

T₁ = (19 + 273.15) K = 292.15 K  

T₂ = (58 + 273.15) K = 331.15 K  

Using above equation as:

Solving for P₂ , we get:

P₂ = 108.9897 psi

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