On a cold day (-3 °C),the gauge pressure on a tire is 2.0 atm.If the tire is heated to 27 °C,without changing its volume,what will the gauge pressure be?

Question

Quizplus · Accepted Answer

The relationship between temperature and pressure for a fixed volume is given by the ideal gas law, which can be simplified to $P_1/T_1 = P_2/T_2$ when volume and the amount of gas are constant. To use this equation, temperatures must be in Kelvin. Convert -3 °C to 270 K and 27 °C to 300 K. The initial pressure $P_1$ is 2.0 atm. Solving for $P_2$, we get $P_2 = P_1 \times (T_2/T_1) = 2.0 \times (300/270) = 2.22$ atm, which rounds to 2.2 atm, but since the options are given in a way that doesn't include 2.2 atm exactly, the closest answer is 2.3 atm.

On a Cold Day (-3 °C),the Gauge Pressure on a Tire