When 1988 J of heat energy is added to 47.5 g of hexane, C6H14, the temperature increases by 18.5 °C. Calculate the molar heat capacity of C6H14.

To calculate the molar heat capacity of C6H14 (hexane), we need to use the formula:

Molar Heat Capacity = (Heat Energy Added) / (moles of substance) * (temperature change)

First, let's calculate the moles of hexane (C6H14) using its molar mass. The molar mass of hexane (C6H14) can be calculated by summing the atomic masses of carbon (C) and hydrogen (H) in the molecule.

C6H14: (6 * atomic mass of C) + (14 * atomic mass of H)

The atomic masses of carbon and hydrogen are:

Carbon (C): 12.01 g/mol
Hydrogen (H): 1.01 g/mol

Substituting these values into the molar mass equation:

Molar mass of C6H14 = (6 * 12.01 g/mol) + (14 * 1.01 g/mol)
= 72.06 g/mol + 14.14 g/mol
= 86.2 g/mol

Now, let's calculate the moles of hexane:

moles of C6H14 = (mass of hexane) / (molar mass of C6H14)

mass of hexane = 47.5 g

moles of C6H14 = 47.5 g / 86.2 g/mol
= 0.550 mol

Next, let's calculate the molar heat capacity using the given information:

Heat Energy Added = 1988 J
Temperature Change = 18.5 °C

Now we can substitute these values into the molar heat capacity equation:

Molar Heat Capacity = (1988 J) / (0.550 mol) * (18.5 °C)

Molar Heat Capacity = 6037 J/(mol*°C)

Therefore, the molar heat capacity of hexane (C6H14) is 6037 J/(mol*°C).