find the heat flow through the sides of an 25cm tall by 10cm wide of ice water in 46s.The glass is 6.00mm thick; the temperature is inside is 28 celcius, the temperature outside is 50 celcius
To find the heat flow through the sides of the ice water, we can use the formula for heat conduction:
Q = (kAΔT) / Δx
Where:
Q = Heat flow rate (in Joules/second or Watts)
k = Thermal conductivity of the material (in Watts/meter-K)
A = Surface area through which heat is flowing (in square meters)
ΔT = Temperature difference (in Kelvin or Celsius)
Δx = Thickness of the material (in meters)
In this case, the glass thickness (Δx) is given as 6.00mm, which is equivalent to 0.006 meters. The temperature difference (ΔT) is calculated as the difference between the inside (28°C) and outside (50°C) temperatures: ΔT = 50°C - 28°C = 22°C.
Now we need to calculate the surface area (A) through which heat is flowing. Since the glass is rectangular, the area can be calculated as the product of its height and width: A = 0.25m (height) * 0.1m (width) = 0.025 square meters.
To find the thermal conductivity (k) of the glass, we'll need to refer to a reference source or look up the specific thermal conductivity of the glass material you are referring to. Once you have identified the thermal conductivity value (in Watts/meter-K) for the glass, substitute it into the equation.
Finally, we'll use the given time of 46 seconds to calculate the heat flow rate (Q) using the equation:
Q = (kAΔT) / Δx
Remember to convert the time to seconds before using it in the equation.
By following these steps and substituting the appropriate values into the equation, you will be able to find the heat flow through the sides of the ice water.