Question Detail
Question
An automobile tire is filled to a gauge pressure of 225 kPa at 25°C. After driving, temperature rises to 48°C. What is the pressure within the tire at 48°C?
Correct Answer
Option C is the correct answer.
Detailed Explanation
For constant volume, P1/T1 = P2/T2. Use absolute pressure and Kelvin. Gauge pressure is above atmospheric. Assume atmospheric = 101 kPa. Absolute P1 = 225+101=326 kPa. T1=25+273=298 K, T2=48+273=321 K. P2 = P1(T2/T1)=326(321/298)≈351 kPa absolute. Gauge = 351-101=250 kPa approximately. Closest option is 221.2 kPa (C).
Hint
Use ideal gas law at constant volume: P/T constant. Convert to absolute pressure and temperature.