Chemistry

Question

The pressure in a car tire is 298 kilopascals at 300 Kelvin. After a long drive, the pressure becomes 325 kilopascals. Which law will you use to calculate the new temperature in the tire assuming that the volume is constant?

1 Answer

  • Answer: Gay lussac's law and final temperature is 327K.

    Explanation: Gay-Lussac's Law: This law states that pressure is directly proportional to the temperature of the gas at constant volume and number of moles.

    [tex]P\propto T[/tex]     (At constant volume and number of moles)

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

    [tex]\frac{298kPa}{300K}=\frac{325kPa}{T_2}[/tex]

    [tex]T_2=327K[/tex]

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