A bicycle tire is filled to a pressure of 4.42 atm (65 psi)at a temperature of 12°C.If the temperature of the tire increases to 33°C,what is the pressure in the tire? Assume the volume of the tire is constant.

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Quizplus · Accepted Answer

The pressure change due to temperature change can be calculated using the ideal gas law, assuming constant volume and amount of gas. The formula derived from the ideal gas law for this scenario is $P_2 = P_1 \times \frac{T_2}{T_1}$, where $P_1$ and $P_2$ are the initial and final pressures, and $T_1$ and $T_2$ are the initial and final temperatures in Kelvin. Converting the temperatures to Kelvin: 12°C = 285.15 K and 33°C = 306.15 K. Substituting the given values: $4.42 \times \frac{306.15}{285.15} \approx 4.75$ atm.

A Bicycle Tire Is Filled to a Pressure of 4