If temperature t is directly proportional to heat h, and when t = 20oC, h = 50 J, find t when h = 60J
Answer Details
The temperature (t) and heat (h) are directly proportional, which means that as the temperature increases, so does the heat. This can be written as an equation: h = kt, where k is a constant of proportionality.
Given that when t = 20°C, h = 50 J, we can find the value of k by using the equation: 50 = k * 20. Solving for k gives us k = 2.5.
Now that we know the value of k, we can use the equation h = kt to find the temperature when h = 60 J:
60 = 2.5 * t
Solving for t gives us t = 24°C, so the answer is 24°C.