Heat capacity

In a clay vessel there is water with a mass of m = 0.80 kg and a temperature of t1 = 15°C. An Indian woman took from a fireplace four basalt stones, each with a mass of m2 = 0.2 kg and with a temperature of t2 = 450°C, and placed them in the water in the vessel.
a) Determine the temperature t4 at which the temperature of the water settled after the thermal equilibrium in the vessel was established.
b) Determine the number n3 of stones with temperature t2 and with mass m2 which need to be placed into the vessel so that the water in the vessel reaches the boiling temperature t3 = 100°C.
c) State at least two advantages and two disadvantages of the Indian method of cooking. The mass heat capacity of the stone from basalt c2 = 820 J
/kg/℃, the mass heat capacity of water c1 = 4.18 kJ/kg/℃, the heat capacity of the clay vessel C3 = 200 J/℃. Heat losses to the surroundings (outside the vessel) are negligible.

Final Answer:

t4 =  82.9429 °C
n3 =  6

Step-by-step explanation:

m=0.8 kg c1=4180 J/kg°C t1=15 °C t3=100 °C  m2=0.2 kg c2=820 J/kg/°C t2=450 °C n2=4  C3=200 J/°C   Q2 = Q1+Q3  n2 m2 c2 (t2t4)=m c1 (t4t1)+C3 (t4t1) 4 0.2 820 (450t4)=0.8 4180 (t415)+200 (t415)  4200t4=348360  t4=4200348360=82.94285714  t4=35290382.942857=82.9429°C
n m2 c2 (t2t3)=m c1 (t3t1)+C3 (t3t1) n 0.2 820 (450100)=0.8 4180 (10015)+200 (10015)  57400n=301240  n=57400301240=5.24808362  n=5.248084  n3=n=5.2481=6



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