Question

if the enthalpy of one mole of a substance increases by 508 j when the substance is heated by 20 k, what is the molar heat capacity?

Answer 1

The molar heat capacity is calculated as 25.4 J/K·mol by dividing the amount of energy absorbed (508 J) by the product of the number of moles (1 mole) and the temperature change (20 K).

Step-by-step explanation:

The question can be addressed by using the formula for calculating molar heat capacity:

Q = m × C × ΔT

Where:

• Q is the amount of energy absorbed or released (in joules)
• m is the number of moles (mole)
• C is the molar heat capacity (J/K·mol)
• ΔT is the change in temperature (Kelvin)

According to the given information:

• Q = 508 J (energy absorbed)
• m = 1 mole (since we're looking for the molar heat capacity)
• ΔT = 20 K (temperature change)

We are looking for C, so we rearrange the formula to solve for it:

C = Q / (m × ΔT) = 508 J / (1 mole × 20 K) = 25.4 J/K·mol

Therefore, the molar heat capacity of the substance is 25.4 J/K·mol.