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Certain quantity of water cools from 70°C to 60°C in the first 5 minutes and to 54° C in the next 5 minutes. The temperature of the surroundings is
  • a)
    42°C
  • b)
    10°C
  • c)
    45°C
  • d)
    20°C
Correct answer is option 'C'. Can you explain this answer?
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Certain quantity of water cools from 70°C to 60°C in the first...
°F to 50°F in a room with an ambient temperature of 80°F. The heat exchange between the water and the room can be calculated using the formula:

Q = mcΔT

Where:
Q = heat exchange
m = mass of water
c = specific heat capacity of water
ΔT = change in temperature

First, we need to determine the mass of water. Assuming a density of 1 g/cm³ for water, we can calculate the volume of water using the formula:

V = (mass of water) / (density of water)

Let's assume we have 1 liter of water, which is equivalent to 1000 cm³. Therefore, the mass of water would be:

m = V * density of water
m = 1000 cm³ * 1 g/cm³
m = 1000 g

Next, we calculate the heat exchange using the formula:

Q = mcΔT
Q = (1000 g) * (4.184 J/g°C) * (70°F - 50°F)
Q = 1000 * 4.184 * 20
Q = 83680 J

Therefore, the heat exchange between the water and the room is 83680 Joules.
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Certain quantity of water cools from 70°C to 60°C in the first 5 minutes and to 54° C in thenext 5 minutes. The temperature of the surroundings isa)42°Cb)10°Cc)45°Cd)20°CCorrect answer is option 'C'. Can you explain this answer?
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