Final answer:
The heat required to raise the temperature of 100 grams of the metal by 20 degrees Celsius is 1000 calories.
Step-by-step explanation:
The heat required to raise the temperature of an object can be calculated using the formula:
Q = mcΔT
where Q is the heat energy, m is the mass of the object, c is the specific heat of the object, and ΔT is the change in temperature.
In this case, the metal has a specific heat of 0.5 cal/(0C.g), which means it requires 0.5 calories of heat energy to raise the temperature of 1 gram of the metal by 1 degree Celsius. So, for 100 grams of the metal, the heat required to raise its temperature by 20 degrees Celsius is:
Q = (100 g) * (0.5 cal/(0C.g)) * 20 0C = 1000 cal
Therefore, the heat required to raise the temperature of 100 grams of the metal by 20 0C is 1000 calories.