The specific heat of a substance varies with temperature according to the function c = A + BT + CT2. Find the energy required to raise the temperature of a mass m of this substance from T1 and T2. (Use any variable or symbol stated above as necessary.)
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Step 1: Calculate the energy required to raise the temperature of mass m from T1 to T2 using the specific heat function c = A + BT + CT^2. Show more…
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The specific heat of a substance varies with temperature according to the function $c=0.20+0.14 T+$ $0.023 T^{2}$, with $T$ in ${ }^{\circ} \mathrm{C}$ and $c$ in $\mathrm{cal} / \mathrm{g} \cdot \mathrm{K}$. Find the energy required to raise the temperature of $1.0 \mathrm{~g}$ of this substance from $5.0^{\circ} \mathrm{C}$ to $15^{\circ} \mathrm{C}$.
What is the formula to calculate the heat energy required to raise the temperature of any substance?
Suman K.
Specific heat is defined as the amount of energy needed to increase the temperature of a unit mass of a substance by one degree. The specific heat of water at room temperature is $4.18 \mathrm{kJ} / \mathrm{kg} \cdot^{\circ} \mathrm{C}$ in SI unit system. Using the unit conversion function capability of EES, express the specific heat of water in $(a) \mathrm{kJ} / \mathrm{kg} \cdot \mathrm{K}$ (b) $\mathrm{Btu} / \mathrm{lbm} \cdot^{\circ} \mathrm{F}$ $(c)$ Btu/lbm-R, and (d) \mathrm{kcal} / \mathrm{kg} $^{\circ} \mathrm{C}$ units.
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