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The quantity of heat required to raise the temperature of 500 g of iron by 2°C, given that the specific heat capacity is 500 J/(kg °C), is:

Question

The quantity of heat required to raise the temperature of 500 g of iron by 2°C, given that the specific heat capacity is 500 J/(kg °C), is:

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Solution

The formula to calculate the quantity of heat (Q) is:

Q = mcΔT

where: m = mass of the substance (in kg) c = specific heat capacity (in J/(kg °C)) ΔT = change in temperature (in °C)

Given: m = 500 g = 0.5 kg (since 1 kg = 1000 g) c = 500 J/(kg °C) ΔT = 2°C

Substituting these values into the formula, we get:

Q = 0.5 kg * 500 J/(kg °C) * 2°C = 500 Joules

So, the quantity of heat required to raise the temperature of 500 g of iron by 2°C is 500 Joules.

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