Calculate the weight of gold having specific heat capacity 0.13 joule which is heated from 25 degree c to 300 degree c, where the heat absorbed is 1500 joule?
q = 1500J = mass Au x specific heat Ar x (Tfinal-Tinitial)
To calculate the weight of gold, we need to use the formula:
Q = mcΔT
Where:
Q = Heat absorbed (in joules)
m = Mass of the substance (in grams)
c = Specific heat capacity of the substance (in J/g°C)
ΔT = Change in temperature (in °C)
In this case, we know that:
Q = 1500 J
c = 0.13 J/g°C
ΔT = 300°C - 25°C = 275°C
Now, let's rearrange the formula to solve for mass:
m = Q / (c * ΔT)
Substituting the given values:
m = 1500 J / (0.13 J/g°C * 275°C)
Calculating:
m = 1500 J / 35.75 J/g
m ≈ 41.96 g
Therefore, the weight of the gold is approximately 41.96 grams.