Boyle's Charles' law

• Boyle's law relates pressure and volume at constant temperature
• Boyle's law


  At constant temperature, pressure and volume are inversely proportional
• Solving Boyle's law problems

  1. Identify given quantities (v1, p1, v2, p2)

  2. Substitute values into Boyle's law equation (p1v1 = p2v2)

  3. Solve for the unknown variable
• Charles' law relates volume and temperature at constant pressure
• Charles' law


  At constant pressure, volume and temperature are directly proportional
• Solving Charles' law problems

  1. Identify given quantities (v1, t1, v2, t2)

  2. Substitute values into Charles' law equation (v1/t1 = v2/t2)

  3. Solve for the unknown variable
• Temperature must be expressed in Kelvin for Charles' law
• If volume decreases


  Temperature also decreases (Charles' law)
• If volume increases


  Temperature also increases (Charles' law)
• The formula to convert Celsius to Kelvin is: K = °C + 273
• Nitrogen gas expands from 5 cm³ to 9.30 cm³, final temperature is 50°C. Determine the initial temperature in °C.
• Solving the nitrogen gas expansion problem


  1. Given: v1 = 5 cm³, v2 = 9.30 cm³, t2 = 50°C (323K)

  2. Use Charles' law equation: v1/t1 = v2/t2

  3. Rearrange to solve for t1: t1 = (v1*t2)/v2

  4. t1 = (5*323)/9.30 = 173.66K

  5. Convert to °C: t1 = 173.66K - 273 = -99.34°C