1. If equal mass of \(X, Y, Z\) have the same temperature, which one has maximum heat?
- Answer: Substance \(Z\) has the maximum heat.
- The specific heat capacities are \(390 \, J/kg°C\) for \(X\), \(450 \, J/kg°C\) for \(Y\), and \(470 \, J/kg°C\) for \(Z\). Given the same mass and temperature change, \(Z\) will require the highest amount of heat due to its highest specific heat capacity.
2. If three pieces of them have equal temperature and equal amount of heat, which one of them has maximum mass?
- Answer: Substance \(Z\) has the maximum mass.
- Given equal heat and temperature change, the mass (\(m\)) of substance is found using the relation \(Q = m \cdot c \cdot \Delta T\). The specific heat capacities are \(c_X = 390 \, J/kg°C\), \(c_Y = 450 \, J/kg°C\), and \(c_Z = 470 \, J/kg°C\). Thus, using the formula \(m = \frac{Q}{c \cdot \Delta T}\), \(Z\) will have the highest mass because it has the highest specific heat capacity.
3. What do you mean by specific heat capacity of ' \(Z\) ' is \(470 \, J/kg°C\) ?
- Answer: The specific heat capacity of \(Z\) is \(470 \, J/kg°C\). This means that \(470\) joules of heat energy is required to raise the temperature of \(1 \, kg\) of substance \(Z\) by \(1°C\).
4. If equal mass having the same shape and size of them at \(100°C\) temperature is kept over a wax slab, which of them will melt the wax for maximum depth?
- Answer: Substance \(Z\) will melt the wax for the maximum depth.
- Considering that heat transfer to the wax slab is proportional to the specific heat capacity of the substances and given that equal masses are at the same temperature, [tex]\(Z\)[/tex] will transfer the most heat energy to the wax, thus melting it to the greatest depth. This is due to [tex]\(Z\)[/tex]’s highest specific heat capacity of [tex]\(470 \, J/kg°C\)[/tex].
