You start driving your car when the air temperature is 270.734 K. The air pressure in the tires is 454.518 kPa. After driving a while, the tire's air pressure increases to 470.361 kPa. What is the temperature of the tires at that point, assuming the volume remains constant

T₂ =  280.17 K

Explanation:

Here, we can use the equation of state to find the final temperature of air in tires. Equation of State is written as follows:

Since, the volume is constant.

Therefore,

where,

T₂ = Final Temperature of Air in Tire= ?

T₁ = Initial Temperature of Air = 270.734 K

P₁ = Initial Pressure of Air = 454.518 KPa

P₂ = Final Pressure of Air = 470.361 KPa

Therefore,

T₂ =  280.17 K

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