- 3. Early one morning you go to fill up your steel fuel container with gasoline that has a volume of 20 L. You fill it all the way up when the temperature is 0°C. Later that day, the temperature rises to 20°C. How much gasoline spills out of your container? The volume coefficients of expansion of steel and gasoline are β₁ = 3.3 x 10⁻⁵ (°C)⁻¹ and β₁ = 9.6 x 10⁻⁴ (°C)⁻¹, respectively.
- V=20L
- T=0°C
- T=20°C
- AV=BVAT
- △V=(9.6×10⁻⁴)(20)(20)
- AV=0.0384
- A. 0.40 L
- B. 0.038 L
- C. 0.37 L
- D. 0.013 L
- E. None, the volume of steel expands more than gasoline.
- 4. A balloon of volume V contains an ideal gas at an initial pressure P. First, the balloon expands isobarically by doubling the number of moles of gas for a volume of 2V. The pressure then decreases isovolumetrically to 0.25P. Which of the following statements about the initial and final rms speeds of the molecules in the balloon is correct?
- A. The final rms speed is 0.5 times the initial rms speed.
- B. The final rms speed is 2 times the initial rms speed.
- C. The initial and final rms speeds are the same.
- D. The final rms speed is 0.25 times the initial rms speed.
- E. The final rms speed is 4 times the initial rms speed.