What quantity of heat is needed to raise the temperature of 6.3 kg of glass from 6°C to 210°C with a specific heat of 670 J/kg K?

To determine the quantity of heat required to raise the temperature of a substance, the formula used is:

[ Q = m \cdot c \cdot \Delta T ]

where ( Q ) is the heat energy (in joules), ( m ) is the mass of the substance (in kilograms), ( c ) is the specific heat capacity (in joules per kilogram per Kelvin), and ( \Delta T ) is the change in temperature (in degrees Celsius or Kelvin).

In this case, the mass of the glass is given as 6.3 kg, the specific heat is 670 J/kg K, and the change in temperature can be calculated as follows:

[ \Delta T = T_{\text{final}} - T_{\text{initial}} = 210°C - 6°C = 204°C ]

Now, substitute the values into the formula:

[ Q = 6.3 , \text{kg} \cdot 670 , \text{J/kg K} \cdot 204 , \text{K} ]

First, calculate ( 6.3 \times 670 = 4221 , \text{J/K} ).

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