Answer :
To calculate the amount of heat conducted in 1.8 minutes, we need to use the formula for heat conduction:
- Q = k * A * ΔT * t where: Q = amount of heat transferred (in Joules) k = thermal conductivity of brass (in units of Joules per second per meter per degree Celsius) A = cross-sectional area of the brass rod (in square meters) ΔT = temperature difference between the two ends of the rod (in degrees Celsius) t = time period (in seconds) First, let's convert the given measurements to the appropriate units.
The diameter of the rod is given as 4 mm, so the radius (r) would be half of that, which is 2 mm or 0.002 m. The length of the rod is given as 80 cm, so we convert it to meters by dividing by 100, which gives us 0.8 m.
Next, we can calculate the cross-sectional area of the rod using the formula: A = π * r^2 Plugging in the values, we have:
- A = π * (0.002)^2 Now, we can calculate the temperature difference (ΔT) between the two ends of the rod. It is given that one end is 60 degrees Celsius higher than the other end, so ΔT = 60 degrees Celsius.
Finally, we can substitute all the values into the formula for heat conduction to find the amount of heat transferred:
- Q = k * A * ΔT * t Since we don't have the specific thermal conductivity value for brass in the problem, we can assume it to be around 109 J/(m·s·°C), which is a typical value for brass.
After plugging in the values, we can calculate the heat transferred (Q) in Joules. Remember to convert the time period from minutes to seconds (1.8 minutes = 1.8 * 60 seconds).
About Temperature
Temperature is a measure of the average kinetic energy of the particles that make up an object. The higher the temperature of an object, the faster its particles move and the greater its kinetic energy. Temperature can be measured using various tools, such as a thermometer. There are several temperature scales that are commonly used, namely the Celsius, Fahrenheit, and Kelvin scales. The Celsius scale is the most commonly used temperature scale in the world. The Celsius scale has the freezing point of water at 0°C and the boiling point of water at 100°C. The Fahrenheit scale has the freezing point of water at 32°F and the boiling point of water at 212°F. The Kelvin scale is a temperature scale based on absolute zero, which is the lowest possible temperature. Absolute zero is -273.15°C or -459.67°F.
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