Question

What is the pressure difference in the tires of a stationary bike versus a bike moving with 30 mph so that the tires temperature are 2.5°C above the ambient temperature of 25°C? Consider that the tires were inflated to 6.5 *10⁵ N/m² and the ambient pressure is 1.01 * 10⁵ N/m².

Select one:

a. -0.20 * 10⁵ N/m²

b. -0.06 * 10⁵ N/m²

c. -0.07 * 10⁵ N/m²

d. -0.37 * 10⁵ N/m²

Answer 1

Solution: Given:- Ambient temperature, T₁ = ,

Final temperature of tire,

Initial pressure inside tires= 6.5x10⁵ N/m²

^{Let, P₂ be the final pressure inside tire .}

^{Then, using Gay-Lussac's law for ideal gas:}

N/m²

The change in pressure = P₁-P₂

N/m²

N/m²

Therefore, the change in pressure is approx. -0.06 x 10⁵ N/m². Ans.