A coil with a resistance of 5.7 Ohm connected to a battery of three series-connected accumulators with an EMF of 2 V

| March 19, 2021 | education

A coil with a resistance of 5.7 Ohm connected to a battery of three series-connected accumulators with an EMF of 2 V and an internal resistance of 0.1 Ohm each is immersed in the calorimeter with 300 g of alcohol. What is the specific heat of alcohol if it heats up by 1.4 K in 3 minutes?

Data: mc (mass of heated alcohol) = 300 g = 0.3 kg; R (coil resistance) = 5.7 Ohm; ε (EMF of each battery) = 2 V; r (internal resistance of each battery) = 0.1 ohm; n (number of batteries) = 3 pcs .; connection of the batteries taken in series; t (alcohol heating duration) = 3 min = 180 s; Δt (temperature change of alcohol) = 1.4 K.

1) The current in the spiral: I = n * ε / (R + n * r) = 3 * 2 / (5.7 + 3 * 0.1) = 1 A.

2) The released heat: Q = I ^ 2 * R * Δt = 1 ^ 2 * 5.7 * 180 = 1026 J.

3) Specific heat of alcohol: Cc = Q / (mc * Δt) = 1026 / (0.3 * 1.4) = 2443 J / (kg * K).

Answer: The specific heat of alcohol, according to the calculation, is equal to = 2443 J / (kg * K).



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