what is the formula i would use for this problem Burning a nut raises the temperature of 100 grams of water from 20 degrees C to 60 degrees C. How much heat does the water gain? Heat is measured in calories. 1 calorie = 4.18 J
q = mc(dT)
q = 100 g H2O x specific heat H2O x (60-20) = heat in calories if you use 1 for specific or in joules if you use 4.18.
To find the amount of heat gained by the water, you can use the formula:
Heat (calories) = mass (grams) x specific heat capacity (calories/gram°C) x change in temperature (°C)
In this problem, the mass of the water is given as 100 grams and the change in temperature is from 20°C to 60°C.
First, let's calculate the change in temperature:
Change in temperature = Final temperature - Initial temperature
Change in temperature = 60°C - 20°C
Change in temperature = 40°C
Next, we'll use the specific heat capacity of water, which is approximately 1 calorie/gram°C.
Now let's plug in the values into the formula:
Heat (calories) = 100 grams x 1 calorie/gram°C x 40°C
To find the heat gained by the water, multiply these values:
Heat (calories) = 100 grams x 1 calorie/gram°C x 40°C = 4000 calories.
Therefore, the water gains 4000 calories of heat.