Question

The total pressure in a tire is 1.30 atm at 28.0°C. If the temperature is increased to 31.0°C, and we assume the tire volume does not change, what is the new pressure?

a) 1.27 atm
b) 1.30 atm
c) 1.33 atm
d) 1.36 atm

Answer 1

To calculate the new pressure of the tire, you can use the ideal gas law and the equation P1 = P2 * (T2 / T1), where P1 is the initial pressure, P2 is the new pressure, T1 is the initial temperature, and T2 is the new temperature. Calculating the values using the given information, the new pressure in the tire is 1.33 atm.

Step-by-step explanation:

To calculate the new pressure of the tire, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvin. Since the volume of the tire is assumed to be constant, we can rearrange the equation to solve for the new pressure: P1 = P2 * (T2 / T1), where P1 is the initial pressure, P2 is the new pressure we want to find, T1 is the initial temperature, and T2 is the new temperature. Using the given values: P1 = 1.30 atm, T1 = 28.0°C = 301.15 K, T2 = 31.0°C = 304.15 K, we can plug in the values and solve for P2: P2 = 1.30 atm * (304.15 K / 301.15 K) = 1.33 atm. Therefore, the new pressure in the tire is 1.33 atm.