how much heat does it take to raise the temperature of 0.10 kg of gold bt 25 C?

q = mass Au x specific heat Au x 25. Watch that units for mass and specific heat match.

To calculate the amount of heat required to raise the temperature of a substance, you can use the specific heat capacity formula:

Q = m * c * ΔT

Where:
Q - amount of heat energy (in joules)
m - mass of the substance (in kilograms)
c - specific heat capacity of the substance (in joules per kilogram per degree Celsius or J/kg°C)
ΔT - change in temperature (in degrees Celsius)

For gold, the specific heat capacity is approximately 129 J/kg°C. You have the mass (0.10 kg) and the change in temperature (25°C). Plugging these values into the formula, we can calculate the heat energy needed.

Q = (0.10 kg) * (129 J/kg°C) * (25°C)

Q = 322.5 J

Therefore, it would take 322.5 joules of heat to raise the temperature of 0.10 kg of gold by 25°C.