If i apply 0.108 kj of energy in order to increase the temperature of a bar of gold from 30.0°c to 34.7°c, and the specific heat capacity of gold is 0.128 j/g°c, what is the mass the bar of gold in grams? a. 1.8 × 102 g b. 6.5 × 101 g c. 1.08 × 102 g d. 1.28 × 102 g e. none of these

The mass of the given gold bar: m = 1.8 × 10² g

Explanation:

The Specific heat capacity (c) of a given substance is defined as the heat capacity (C) per unit mass (m) or the energy required (Q) to increase the temperature (ΔT) of the given substance per unit mass.

∴ The specific heat capacity:

Given: The specific heat capacity of gold (Au) = 0.128 J/g°C

The increase in temperature: ΔT = 34.7°C - 30.0°C = 4.7°C

Heat energy: Q = 0.108 kJ = 0.108 × 1000 J = 108 J    (∵ 1 kJ = 1000J)

Mass of the given gold bar: m = ?

Therefore, the mass of the given gold bar:

Therefore, the mass of the given gold bar: m = 1.8 × 10² g

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