4000J of heat is applied to a 1.5kg sliver pendant initially at temperature of 150c. Determine its final temperature (Latent heat=336jkg-1, specific heat capacity=233 j/kg.k)
To determine the final temperature of the silver pendant, we need to consider two factors: the heat energy absorbed by the pendant and the change in temperature.
The heat energy absorbed by the pendant can be calculated using the equation:
Q = mcΔT,
where Q is the heat energy, m is the mass of the pendant, c is the specific heat capacity, and ΔT is the change in temperature.
In this case, the heat energy absorbed (Q) is 4000 J, the mass (m) is 1.5 kg, and the specific heat capacity (c) is 233 J/kg.k.
Now, we need to calculate the change in temperature (ΔT). However, we can't directly use the given values to calculate it, as the latent heat of silver (336 J/kg) suggests that during the phase change, the heat absorbed is not contributing to increasing the temperature.
Thus, we need to determine whether or not the silver undergoes a phase change during this process of heat transfer. If so, we need to calculate the heat absorbed during the phase change, and the remaining heat will contribute to changing the temperature.
Since the given information does not mention any phase change, we can assume that there is no phase change occurring with the silver pendant. Therefore, all the heat energy applied will contribute to changing its temperature.
To calculate the change in temperature (ΔT) without considering a phase change, we rearrange the equation Q = mcΔT to solve for ΔT:
ΔT = Q / (mc)
Substituting the given values:
ΔT = 4000 J / (1.5 kg * 233 J/kg.k)
Calculating ΔT:
ΔT = 4000 J / 349.5 J/K
ΔT ≈ 11.45 °C
Now, to find the final temperature, we add the change in temperature (ΔT) to the initial temperature (150 °C):
Final temperature = Initial temperature + ΔT
Final temperature ≈ 150 °C + 11.45 °C
Therefore, the final temperature of the silver pendant is approximately 161.45 °C.