An automobile tire has a volume of 0.0185 m³. If the pressure in the tire is 500 kPa and the temperature is 298 K, how many molecules are there inside the tire? A) 2.25 × 10²³ B) 2.25 × 10²⁴ C) 3.25 × 10²³ D) 3.25 × 10²⁴ E) 3.25 × 10²⁵

Question

Quizplus · Accepted Answer

Using the ideal gas law PV = nRT and Avogadro's number, the number of molecules can be calculated. Converting pressure to Pa (500 kPa = 500,000 Pa), using R = 8.314 J/(mol·K), and solving for n gives n = (500,000 * 0.0185) / (8.314 * 298). Then, multiplying n by Avogadro's number (6.022 × 10^23) gives approximately 2.25 × 10^24 molecules.

An Automobile Tire Has a Volume of 0