Given: Heat given to mercury (Q) = 100 J
Mass of mercury (m) = 80 g = 80 × 10⁻³ kg
Specific Heat capacity of mercury (c) = 138 J/kg°C
Let the rise of temperature be Δt
Formula Used: Q = mcΔt
Here, all alphabets are in their usual meanings.
Calculation:
Q = mcΔt
or, Δt = Q / mc
or, Δt = 100 J /[(80 × 10⁻³ kg)×(138 J/kg°C)]
or, Δt = 9.058 °C
or, Δt = 9.1 °C
Hence, the required increase in temperature will be 9.1 °C.