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## Ariel’s car tires need air, but it’s a cold morning and she knows the tire pressure will change as the day warms. If it’s 14 ◦C outside now,

Question

Ariel’s car tires need air, but it’s a cold morning and she knows the tire pressure will change as the day warms. If it’s 14 ◦C outside now, with an expected high of 20 ◦C, to what maximum pressure (according to her pressure gauge) should she fill her tires this morning? Ariel’s car manual recommends a maximum pressure of 30.psi. (Assume a negligible volume change.)

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Physics
2 months
2021-08-21T23:25:23+00:00
2021-08-21T23:25:23+00:00 1 Answers
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## Answers ( )

Answer:

29.39 psi

Explanation:

Assuming volume change then we can say

where P and T represent pressure and temperature in Kelvin respectively. Making the subject of the formula then

14 degrees celcius to kelvin will be 273+14=287 K, this is temperature 1

20 degrees celcius to Kelvin will be 273+20=293 K this is temperature 2

Pressure 2 is given as 30 psi