Help Solving SHC & SLH Question w/ Ice Mass 2.0kg & 200w Heater

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The discussion centers on calculating the temperature change of a 2.0 kg block of ice heated by a 200W immersion heater, starting at -10°C and continuing until reaching 110°C. The user seeks assistance in creating a graph that illustrates the temperature variation over time, noting that the heat supplied will first raise the ice temperature to 0°C, then melt the ice, and finally increase the temperature of the resulting water. Key calculations involve determining the heat required to raise the temperature of the ice, the melting process, and the subsequent heating of the water, with specific attention to the heat transfer rate in kilocalories per second. The user emphasizes the need for clarity on how much ice will melt per second and the overall duration for complete melting. The discussion highlights the importance of understanding specific heat capacity and phase changes in thermal dynamics.
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I have tried to answer this question but I know my answer is wrong, so please could someone help me out?

Given data:

Ice mass 2.0kg
Immersion heater 200w
Initial ice temp -10dec c

This is the question:

Draw a graph, with labelled axes, to show how the temperature varies, with time when a block of ice of mass 2.0kg, has an immersion heater placed in ut, power 200w. The ice is initally at -10deg c continue the graph until the temp of water vapour is 110 deg c. SHC of water is 1400 J kg K

I have tried it using Q=mcdelta T

and then Time = Q/P

Can anyone help please?
 
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The immersion heater is supplying 200 w. How many kilocalories of heat is that per second? How much will that increase the temperature of 2 kg of ice each second? That will continue until the temperature of the ice reaches 0 when it will start to melt. Then all the heat will go into melting the ice, the temperature staying at 0 until all the ice is melted. How much ice will that heat melt per second? When will all the ice be melted? After that, the temperature of the water starts to increase. How much will that heat increase the temperature of the water each second?

(By the way, your graph will consist of three connected lines.)
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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