The specific heat capacity of a pure substance can be found by dividing the heat

Question

The specific heat capacity of a pure substance can be found by dividing the heat needed to change the temperature of a sample of the substance by the mass of the sample and by the change in temperature. The heat capacity of a certain substance has been measured to be 4.95 121. g of the substance are heated until the temperature of the sample has changed by 13.5 . Write an equation that will let you calculate the heat Q that was needed for this temperature change. Your equation should contain only symbols. . Suppose g.oC Be sure you define each symbol Your equation: Definitions of your symbols: 4.95 °C g· . 0-121 =13.5

Explanation / Answer

We define the specific heat capacity (S) of a substance as the amount of heat required to change the temperature of 1 g of the substance by 1°C. The given substance has specific heat capacity 4.95 J/g.°C, i.e, 1 g of the substance requires 4.95 J of heat for 1°C change in temperature.

We have 1.21 g of the substance, i.e, weight (m) of the substance is 1.21 g. The change in temperature (t) of the substance is 13.5°C.

1.21 g of the substance will require (1.21 g)*(4.95 J/g°C) heat for 1°C change in temperature. For a temperature change of 13.5°C, the substance will require (1.21 g)*(4.95 J/g°C)*(13.5°C) heat. This is the total heat required by the substance and is given as Q. Therefore,

Q = m*S*t

where S = 4.95 J/g.°C

m = 1.21 g

and t = 13.5°C (ans).

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