Question
What is the total amount of heat needed to change 2.25 kg of silver at 0.0°C to 200.0°C? The specific heat of silver is 0.129 J/g∙°C
Answers
GPT 3.5
To calculate the amount of heat needed to change the temperature of an object, we can use the equation:
q = m * C * ΔT
Where:
q is the amount of heat (in Joules),
m is the mass of the object (in grams),
C is the specific heat of the material (in J/g∙°C), and
ΔT is the change in temperature (in °C).
First, we need to convert the mass from kilograms to grams:
2.25 kg = 2250 g
Then, we substitute the given values into the formula:
q = 2250 g * 0.129 J/g∙°C * (200.0°C - 0.0°C)
Calculating:
q = 2250 g * 0.129 J/g∙°C * 200.0°C
q = 58,050 J
Therefore, the total amount of heat needed to change 2.25 kg of silver from 0.0°C to 200.0°C is 58,050 Joules.
q = m * C * ΔT
Where:
q is the amount of heat (in Joules),
m is the mass of the object (in grams),
C is the specific heat of the material (in J/g∙°C), and
ΔT is the change in temperature (in °C).
First, we need to convert the mass from kilograms to grams:
2.25 kg = 2250 g
Then, we substitute the given values into the formula:
q = 2250 g * 0.129 J/g∙°C * (200.0°C - 0.0°C)
Calculating:
q = 2250 g * 0.129 J/g∙°C * 200.0°C
q = 58,050 J
Therefore, the total amount of heat needed to change 2.25 kg of silver from 0.0°C to 200.0°C is 58,050 Joules.