Question

If the temperature of 0.20 kg Au, which has a specific heat of 130 J/kg°C, increases by 25°C, how much energy has been transferred to the Au by heat? Use the equation for heat, q=mcΔT, to calculate.

Answer 1

To calculate the amount of energy transferred to the gold by heat, we can use the equation:

q = m c ΔT

where:
q = amount of heat transferred (in joules, J)
m = mass of the gold (in kilograms, kg)
c = specific heat of gold (in joules per kilogram per degree Celsius, J/kg°C)
ΔT = change in temperature (in degrees Celsius, °C)

We are given:

m = 0.20 kg
c = 130 J/kg°C
ΔT = 25°C

Substituting these values into the equation, we get:

q = (0.20 kg) x (130 J/kg°C) x (25°C)
q = 650 J/°C x 25°C
q = 16250 J

Therefore, the amount of energy transferred to the gold by heat is 16250 joules (J).