Calculate the amount of heat required to heat a 3.3kg gold bar from 30 ∘ C to 63 ∘ Specific heat capacity of gold is 0.128 J/g ∘ C.
q = mass Au x specific heat Au x delta T
13.9392
To calculate the amount of heat required to heat a gold bar, you can use the formula:
Q = mcΔT
where:
Q = amount of heat
m = mass of the gold bar (in grams)
c = specific heat capacity of gold (in J/g°C)
ΔT = change in temperature (in °C)
First, we need to convert the mass of the gold bar from kilograms to grams:
mass of gold bar = 3.3 kg * 1000 g/kg
mass of gold bar = 3300 g
Next, we substitute the given values into the formula:
Q = (3300 g) * (0.128 J/g°C) * (63°C - 30°C)
Simplifying the equation:
Q = 3300 g * 0.128 J/g°C * 33°C
Calculating the answer:
Q = 13728 J
Therefore, the amount of heat required to heat the 3.3kg gold bar from 30°C to 63°C is 13728 Joules.
To calculate the amount of heat required to heat a gold bar, we can use the following formula:
Q = m * c * ΔT
Where:
Q is the amount of heat required (in Joules)
m is the mass of the gold bar (in kg)
c is the specific heat capacity of gold (in J/g °C)
ΔT is the change in temperature (in °C)
Given:
Mass of the gold bar (m) = 3.3 kg
Specific heat capacity of gold (c) = 0.128 J/g °C
Change in temperature (ΔT) = 63 °C - 30 °C = 33 °C
First, we need to convert the specific heat capacity from J/g °C to J/kg °C:
c = 0.128 J/g °C * (1 kg / 1000 g) = 0.128 J/kg °C
Now we can substitute the values into the formula:
Q = 3.3 kg * 0.128 J/kg °C * 33 °C
Calculating this expression:
Q = 13.824 J/kg °C * 33 °C
Q = 456.192 J
Therefore, the amount of heat required to heat the 3.3 kg gold bar from 30 °C to 63 °C is 456.192 Joules.