Lava at TH = 1025° C emerges from a volcano. A mass m = 65 kg of this lava flows at a constant velocity of v = 0.38 m/s losing Q = 16500 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, Tsurr = 29° C is unaffected by the cooling of the lava. A) Calculate how long t in seconds it takes before this mass of lava reaches the ocean. B) Calculate the amount of heat Ql in joules lost to the surroundings before this mass reaches the ocean. 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. D) Calculate entropy change of the surroundings ΔSsurr in J / K while the lava was moving toward the ocean. E) Calculate the change in the entropy of the lava ΔS in joules per kelvin while the lava was moving toward the ocean.
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The volume of a gas is halved during an adiabatic compression that increases the pressure by a factor of 2.5. what is the specific heat ratio? show the math steps .
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The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern florida. to meet the monthly demand for electricity in these counties, which is given by the inverse demand function p = 1,200 – 4q, the utility company has set up two electric generating facilities: q1 kilowatts are produced at facility 1, and q2 kilowatts are produced at facility 2 (so q = q1 + q2). the costs of producing electricity at each facility are given by c1(q1) = 8,000 + 6q12 and c2(q2) = 6,000 + 3q22, respectively. determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company’s profit
Answers: 3
Lava at TH = 1025° C emerges from a volcano. A mass m = 65 kg of this lava flows at a constant veloc...
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