Now, heat capacity, which uses capital C, is the amount of heat required to change the temperature of a weighted substance. The more heat that's applied to a substance, the greater its temperature change. It can also be analyzed in terms of specific heat capacity and molar heat capacity. With specific heat capacity, we use lowercase c, and it is the amount of heat required to change the temperature of 1 gram of a substance by 1 degree. That degree can be either in Kelvin or degrees Celsius. Here, molar heat capacity is just like heat capacity in terms that it uses a capital C. But with molar heat capacity, it's the amount of heat required to change the temperature of 1 mole of a substance by 1 degree, either in Kelvin or degrees Celsius. Think of molar heat capacity as being more focused in terms of the way we look at heat capacity, specifically concerning 1 mole of a substance.
Now, we're going to say here that when it comes to molar heat capacity, which is capital C, it is defined by the equation: C = q n ⋅ Δt Here, capital C equals our molar heat capacity in joules per moles times degrees Celsius or Kelvin. Q represents heat, T equals temperature in degrees Celsius, but the units of the molar heat capacity for temperature should match. So, if this is in Kelvin then the temperature should also be in Kelvin. And then, n is equal to our moles.
With our specific heat capacity, which uses lowercase c, it is defined by the equation: c = q m ⋅ Δt Here, lowercase c is our specific heat capacity in joules per grams times degrees Celsius or Kelvin. Again, q is heat. Temperature can also be in Celsius or Kelvin. To determine which one to use, you look at the units for your specific heat capacity and make sure they match. Lowercase m here just represents grams of our substance. So, just remember the difference between molar heat capacity and specific heat capacity.