An investigator measures the time t t\,t taken to increase the temperature of different masses m m\,m of a liquid by a constant temperature rise Δθ\Delta \thetaΔθ. The heating is provided by an electric immersion heater of constant power PPP.
The graph of time t t\,t against mass m m\,m is shown below.
The gradient of this straight-line graph is GGG. Assuming no heat loss to the surroundings and negligible heat capacity of the container, which of the following is the correct expression for the specific heat capacity c c\,c of the liquid?
c=GPΔθc = \frac{G P}{\Delta \theta}c=ΔθGP
c=PGΔθc = \frac{P}{G \Delta \theta}c=GΔθP
c=GΔθPc = \frac{G \Delta \theta}{P}c=PGΔθ
c=ΔθGPc = \frac{\Delta \theta}{G P}c=GPΔθ