If you fill your car tire to a pressure of 32 psi (pounds per square inch) on a hot summer day when the temperature is 35°C (95°F), what is the pressure (in psi) on a cold winter day when the temperature is - 15°C (5°F) ? Assume no gas leaks out between measurements and the volume of the tire does not change.

Question

Elliot Matthews

Chemistry

18 March, 10:44

If you fill your car tire to a pressure of 32 psi (pounds per square inch) on a hot summer day when the temperature is 35°C (95°F), what is the pressure (in psi) on a cold winter day when the temperature is - 15°C (5°F) ? Assume no gas leaks out between measurements and the volume of the tire does not change.

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Answers (1)

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Morgan Cantrell · Answer 1

By Gay Lussacs law you can find the pressure. First both temperatures of Celsius must change to Kelvin by adding 273. Temperature one will be 308K and temperature 2 will be 258K

With this info, you can now find the pressure with Lussacs law

P1 = P2

- -

T1 T2

Pressure 1 is given which is 32 psi so just plug it all in and find P2

32 = x

- - - -

308 258

308x = 8256 (Cross multiply)

X = 26.8 (divide both sides by 308)

Answer is 26.8 PSI

This makes sense because as temperature increases pressure increases, as well as when temperature decreases, pressure decreases. Since it's a colder day the pressure will be lower.