Answer:
Step-by-step explanation:
AI-generated answer
To find the temperature at which the volume of a copper cylinder will be 0.150% larger than it is at 20.0°C, we can use the concept of thermal expansion.
1. Determine the initial volume of the copper cylinder at 20.0°C.
2. Calculate the 0.150% increase in volume.
3. Use the coefficient of linear expansion for copper to find the corresponding change in temperature.
4. Add this change in temperature to the initial temperature of 20.0°C to find the final temperature.
Let's go through these steps in detail:
1. The initial volume of the copper cylinder at 20.0°C is given.
2. To calculate the 0.150% increase in volume, we multiply the initial volume by 0.00150 (0.150% expressed as a decimal).
3. The coefficient of linear expansion for copper is approximately 0.000016 per degree Celsius. To find the change in temperature corresponding to the volume increase, we divide the volume increase by the coefficient of linear expansion.
4. Finally, we add this change in temperature to the initial temperature of 20.0°C to find the final temperature.
Keep in mind that this calculation assumes that the expansion of the copper cylinder is isotropic and that the temperature increase is uniform throughout the cylinder.