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Question

Question: If 100j of heat a supplied to 3kg mass to change temp by 30 degree celsius. Find that supplied...

If 100j of heat a supplied to 3kg mass to change temp by 30 degree celsius. Find that supplied

Answer

The specific heat capacity of the substance is 109J/(kgC)\frac{10}{9} \, \text{J/}(\text{kg} \, ^\circ\text{C}) or approximately 1.11J/(kgC)1.11 \, \text{J/}(\text{kg} \, ^\circ\text{C}).

Explanation

Solution

The heat supplied (QQ) to a mass (mm) to change its temperature by ΔT\Delta T is given by Q=m×c×ΔTQ = m \times c \times \Delta T, where cc is the specific heat capacity. Rearranging the formula to find cc, we get c=Q/(m×ΔT)c = Q / (m \times \Delta T). Substituting the given values Q=100JQ = 100 \, \text{J}, m=3kgm = 3 \, \text{kg}, and ΔT=30C\Delta T = 30 \, ^\circ\text{C}, we calculate c=100/(3×30)=100/90=10/9J/(kgC)c = 100 / (3 \times 30) = 100 / 90 = 10/9 \, \text{J/}(\text{kg} \, ^\circ\text{C}).