Calculate and compare the temperature changes of copper (specific heat of 0.09c/gC) to glass (Specific heat of 0.20 c/gC) when 535 g of each substance are given 1,500c of thermal energy.
heat=mass*specificheat*changeinTemp
with same heat, mass then
.09*DeltaTempCu=.20*deltaTempGlass
or deltatempCu/DeltatempGlass=.20/.09
31
To calculate and compare the temperature changes of copper and glass when given a certain amount of thermal energy, we can use the formula:
Q = mcΔT
Where:
Q is the thermal energy (in calories)
m is the mass of the substance (in grams)
c is the specific heat capacity (in cal/g°C)
ΔT is the change in temperature (in °C)
Let's first calculate the temperature change for copper:
Given:
m (mass of copper) = 535 g
c (specific heat of copper) = 0.09 cal/g°C
Q (thermal energy given) = 1,500 cal
Using the formula Q = mcΔT, we can rearrange it to solve for ΔT:
ΔT = Q / (mc)
Substituting the given values:
ΔT(copper) = 1,500 cal / (535 g * 0.09 cal/g°C)
ΔT(copper) ≈ 32.71 °C
Now let's calculate the temperature change for glass:
Given:
m (mass of glass) = 535 g
c (specific heat of glass) = 0.20 cal/g°C
Q (thermal energy given) = 1,500 cal
Using the same formula:
ΔT = Q / (mc)
Substituting the given values:
ΔT(glass) = 1,500 cal / (535 g * 0.20 cal/g°C)
ΔT(glass) ≈ 14.02 °C
Therefore, when 535 g of copper is given 1,500 cal of thermal energy, its temperature change is approximately 32.71 °C. On the other hand, when the same amount of thermal energy is given to 535 g of glass, its temperature change is approximately 14.02 °C.
So, in this scenario, copper experienced a larger temperature change compared to glass.