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A car starts out when the air temperature is 288 K and the absolute (total) air pressure in the tires is 500 kPa. After driving a while, the temperature of the air in the tires increases to 298 K. What is the pressure in the tires at that point, assuming the volume does not change?

Respuesta :

Answer:

Final pressure will be 517.3611 kPa

Explanation:

We have given initial temperature [tex]T_1=288K[/tex]

Initial pressure [tex]P_1=500kPa[/tex]

And final temperature  [tex]T_2=298K[/tex]

For ideal gas we know that [tex]PV=nRT[/tex], as it is given that volume is constant

So [tex]\frac{P_1}{P_2}=\frac{T_1}{T_2}[/tex]

So [tex]\frac{288}{298}=\frac{500}{P_2}[/tex]

[tex]P_2=517.3611kPa[/tex]

So final pressure will be 517.3611 kPa

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