Lava at Ty= 1050° C emerges from a volcano. A mass m = 65 kg of this lava flows at a constant velocity of v = 0.35 m/s losing Q = 12250 J of heat every second to the surroundings. The lava flows a distance of 250 m before reaching the ocean. Assume that the temperature of the surroundings, Turr = 23° C is unaffected by the cooling of the lava. Part (a) Calculate how long t in seconds it takes before this mass of lava reaches the ocean. Part (b) Calculate the amount of heat Q; in joules lost to the surroundings before this mass reaches the ocean. Part (c) If the specific heat capacity of the lava in this process is c = 840 J/ kg °C, calculate the temperature of this mass of lava T in celsius just before it reaches the ocean. Part (d) Calculate entropy change of the surroundings 4Sgurr in J/ K while the lava was moving toward the ocean. Part (e) Calculate the change in the entropy of the lava AS in joules per kelvin while the lava was moving toward the ocean.
Lava at Ty= 1050° C emerges from a volcano. A mass m = 65 kg of this lava flows at a constant velocity of v = 0.35 m/s losing Q = 12250 J of heat every second to the surroundings. The lava flows a distance of 250 m before reaching the ocean. Assume that the temperature of the surroundings, Turr = 23° C is unaffected by the cooling of the lava. Part (a) Calculate how long t in seconds it takes before this mass of lava reaches the ocean. Part (b) Calculate the amount of heat Q; in joules lost to the surroundings before this mass reaches the ocean. Part (c) If the specific heat capacity of the lava in this process is c = 840 J/ kg °C, calculate the temperature of this mass of lava T in celsius just before it reaches the ocean. Part (d) Calculate entropy change of the surroundings 4Sgurr in J/ K while the lava was moving toward the ocean. Part (e) Calculate the change in the entropy of the lava AS in joules per kelvin while the lava was moving toward the ocean.
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