what amount of heat is needed to increase the temperature of 95.3g of copper from 25 degrees Celsius to 48 degrees Celsius? The value of Cp for copper is 0.387 degrees Celsius.
Assuming you mean Cp = 0.387 J/g*C, then
q = mass Cu x specific heat Cu x (Tfinal-Tintial)
To calculate the amount of heat needed to increase the temperature of a substance, you can use the formula:
Q = m * Cp * ΔT
Where:
Q is the amount of heat in Joules (J)
m is the mass of the substance in grams (g)
Cp is the specific heat capacity of the substance in J/g°C
ΔT is the change in temperature in degrees Celsius (°C)
Given:
m = 95.3 g
Cp = 0.387 J/g°C
ΔT = (48°C - 25°C) = 23°C
Now, let's substitute these values into the formula:
Q = 95.3 g * 0.387 J/g°C * 23°C
First, let's calculate the product of the mass and the specific heat capacity:
95.3 g * 0.387 J/g°C = 36.8481 J/°C
Now, multiply this value by the change in temperature:
36.8481 J/°C * 23°C = 848.5583 J
Therefore, the amount of heat needed to increase the temperature of 95.3g of copper from 25°C to 48°C is approximately 848.5583 Joules.