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50g of copper is heated to increase its temperature by 10°C. If the same quantity of heat is given to 10gm of water, the rise in temperature is (specific heat of copper = 420J/kg °C, specific heat of water = 4200 J/kg °C)
  • a)
    5°C
  • b)
    6°C
  • c)
    7°C
  • d)
    8°C
Correct answer is option 'A'. Can you explain this answer?
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50g of copper is heated to increase its temperature by 10°C. If th...
Same amount of heat is supplied to copper and water, so

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50g of copper is heated to increase its temperature by 10°C. If th...
To calculate the increase in temperature of the copper, we need to know the specific heat capacity of copper. The specific heat capacity of copper is approximately 0.385 J/g°C.

The formula to calculate the change in temperature is:

Change in temperature (ΔT) = (heat energy gained) / (mass x specific heat capacity)

Given:
Mass (m) = 50 g
Specific heat capacity (c) = 0.385 J/g°C

Heat energy gained = mass x specific heat capacity x change in temperature

We want to calculate the change in temperature when the heat energy gained is known.

Rearranging the formula, we get:

Change in temperature (ΔT) = (heat energy gained) / (mass x specific heat capacity)

Substituting the given values into the formula:

Change in temperature (ΔT) = (heat energy gained) / (50 g x 0.385 J/g°C)

Now, let's assume the heat energy gained is 10 J.

Change in temperature (ΔT) = 10 J / (50 g x 0.385 J/g°C)

Calculating the change in temperature:

ΔT = 10 J / (19.25 J/°C)

ΔT = 0.52 °C

Therefore, heating 50g of copper with 10 J of heat energy will increase its temperature by approximately 0.52 °C.
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50g of copper is heated to increase its temperature by 10°C. If the same quantity of heat is given to 10gm of water, the rise in temperature is (specific heat of copper = 420J/kg °C, specific heat of water = 4200 J/kg °C)a)5°Cb)6°Cc)7°Cd)8°CCorrect answer is option 'A'. Can you explain this answer?
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