A cup of coffee with a mass of 300g is brewed using 9.5 x 10^4 J of energy. What is the mass gain of the cup of coffee from this heating?

Energy contains no mass.

how is does that work? isnt there some formula to figure out the mass gain?

To find the mass gain of the cup of coffee from heating, we need to use the concept of specific heat capacity. The specific heat capacity of a substance is the amount of energy required to raise the temperature of one unit mass of that substance by one degree Celsius.

In this case, we assume that the energy used to brew the coffee is primarily used to raise its temperature. The equation relating energy, mass, and specific heat capacity is:

E = mcΔT

where:
E is the energy (9.5 x 10^4 J),
m is the mass of the substance (unknown),
c is the specific heat capacity of the substance (assumed to be water, which is about 4.18 J/g·°C), and
ΔT is the change in temperature.

We can rearrange the equation to solve for the mass (m):

m = E / (c * ΔT)

Given that the mass of the cup of coffee is 300g, we need to find the change in temperature (ΔT) to calculate the mass gain.

Without the change in temperature, we cannot determine the mass gain accurately. Could you provide the change in temperature of the coffee?