Question

Before a trip from new york to boston, the pressure in an automobile tire is 1.8 atm at 20.°c. at the end of the trip, the pressure gauge reads 1.9 atm. what is the new celsius temperature of the air inside the tire? (assume tires with constant volume.) answers

Answer 1

Gay-Lussac's law gives the relationship between pressure of gas and temperature. It states for a fixed amount of gas, the pressure of gas is directly proportional to temperature at constant volume.
P / T = k
where P - pressure, T - temperature in Kelvin and k - constant

`(P1)/(T1) = (P2)/(T2)`
where parameters for the first instance are on the left side and parameters for the second instance are on the right side of the equation
T1 - temperature in Kelvin - 20 °C + 273 = 293 K
substituting the values in the equation

`(1.8 atm)/(293 K) = (1.9 atm)/(T)`
T = 309 K
new temperature in celcius scale - 309 K - 273 = 36 °C