If the temperature of the tire rises to 50 celcus and the volume remains constant what is the new pressure?

Answer 1

To determine the new pressure of the tire when the temperature rises to 50 degrees Celsius while keeping the volume constant, we can use Gay-Lussac's law, which states that pressure is directly proportional to temperature in Kelvin. First, convert the temperatures to Kelvin: the initial temperature (assuming room temperature is about 20°C) is 293 K, and the final temperature is 323 K (50°C). If the initial pressure is P1 at 293 K, the new pressure P2 can be calculated using the formula ( P_2 = P_1 \times \frac{T_2}{T_1} ), where ( T_2 ) is 323 K and ( T_1 ) is 293 K. Thus, the new pressure will be higher than the initial pressure, proportional to the increase in temperature.