Suppose that 9 grams of a certain substance lost 17.5 calories of heat when the temperature decreased from 70 degrees Celsius to 62 degrees Celsius. What is the Cp
To calculate the specific heat capacity (Cp) of a substance, we can use the formula:
Cp = (heat lost or gained) / (mass * change in temperature)
In this case, the heat lost is given as 17.5 calories, the mass is 9 grams, and the change in temperature is from 70 degrees Celsius to 62 degrees Celsius.
Now, let's substitute these values into the formula:
Cp = 17.5 calories / (9 grams * (62 degrees Celsius - 70 degrees Celsius))
First, let's simplify the change in temperature:
Cp = 17.5 calories / (9 grams * (-8 degrees Celsius))
Now, let's simplify the denominator:
Cp = 17.5 calories / (-72 grams * degrees Celsius)
Finally, divide the heat by the mass times temperature:
Cp = -0.243 calories / (grams * degrees Celsius)
Therefore, the specific heat capacity (Cp) of the substance is -0.243 calories / (grams * degrees Celsius).