Question

The gauge pressure in your car tires is 2.60 ✕ 10⁵ N/m² at a temperature of 35.0°C when you drive it onto a ferry boat to Alaska. What is their gauge pressure (in atm) later, when their temperature has dropped to −39.0°C? (Assume that their volume has not changed.)

Answer 1

Gauge pressure at T = 35 degree celsius is equal to 2.6 * 10^ 5 N/m^2

using 1 atm = 101325 N/m^2 ; 35 C = 308 Kelvin

therefore , initial gauge pressure = 2.6 * 10^ 5 /101325

= 2.566 atm

using final temperature = - 39 degree celsius = 234 Kelvin

using , ideal gas law, that is Pressure is directly proportional to the temperature

P/2.566 = 234/308

P = 1.95 atm

Finally Gauge pressure = 1.95 atm (in alaska)

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