The heat required to raise a mass of a substance through 1K is known as

The correct answer is "heat capacity". Heat capacity is the amount of heat energy required to raise the temperature of a substance by 1 Kelvin (or 1 degree Celsius). In other words, it measures the ability of a substance to store heat energy. Specific heat capacity is similar to heat capacity, but it is defined as the amount of heat energy required to raise the temperature of one unit of mass of a substance by 1 Kelvin. So, heat capacity is the total amount of heat energy required to raise the temperature of any given mass of a substance by 1 Kelvin, while specific heat capacity is the amount of heat energy required to raise the temperature of one unit of mass (such as one gram) of a substance by 1 Kelvin. Specific latent heat of vaporization and specific latent heat of fusion are measures of the amount of heat energy required to change the state of a substance from solid to liquid (latent heat of fusion) or from liquid to gas (latent heat of vaporization), without a change in temperature. Capacity latent heat of fusion is not a commonly used term in physics or chemistry.