the air pressure in a car is 210kPa at a temperature of 26°C. What is the temperature of the air in the tyre of the pressure of 220kPa? [ass

Question

the air pressure in a car is 210kPa at a temperature of 26°C. What is the temperature of the air in the tyre of the pressure of 220kPa? [assume that the volume of the air in the tyre is constant]​

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Thiên Di 4 years 2021-07-31T18:24:09+00:00 1 Answers 14 views 0

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  1. minhkhue
    0
    2021-07-31T18:25:29+00:00
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    Answer: 313.24K

    Explanation:

    Given that:

    Initial air pressure P1 = 210kPa

    Initial Temperature T1 = 26°C

    (Since, the SI unit of temperature is Kelvin, convert temperature in celsius to kelvin

    26°C + 273 = 299K)

    Final temperature T2 = ?

    Final pressure P2 = 220kPa

    Since, pressure and temperature are involved while volume is constant, apply the formula for pressure law

    P1/T1 = P2/T2

    210kPa/299K = 220kPa/T2

    Cross multiply

    210kPa x T2 = 220kPa x 299K

    210 x T2 = 65780

    T2 = (65780/210)

    T2 = 313.24K

    Thus, the temperature of the air in the tyre is 313.24K

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