When 1662 J of heat energy is added to 45.9 g of hexane, C6H14, the temperature increases by 16.0 °C. Calculate the molar heat capacity of C6H14.
q = (g/molar mass) x specific heat x delta T.
To calculate the molar heat capacity of C6H14, we need to use the formula:
q = n * C * ΔT
where:
q = heat energy (in Joules)
n = number of moles
C = molar heat capacity (in J/mol·°C)
ΔT = change in temperature (in °C)
First, let's find the number of moles of C6H14:
moles = mass / molar mass
The molar mass of C6H14 can be calculated by multiplying the molar masses of carbon (C) and hydrogen (H) and then multiplying the sum by 6 for carbon and 14 for hydrogen. The molar masses of carbon and hydrogen can be found on the periodic table:
molar mass of C = 12.01 g/mol
molar mass of H = 1.01 g/mol
molar mass of C6H14 = (12.01 * 6) + (1.01 * 14) g/mol
Now, we can calculate the number of moles:
moles = 45.9 g / molar mass of C6H14
Next, we can calculate the heat energy (q):
q = 1662 J
Finally, we rearrange the formula to solve for molar heat capacity (C):
C = q / (n * ΔT)
Substituting the given values:
C = 1662 J / (moles * 16.0 °C)
By plugging in the calculated values for moles and ΔT, you can now solve for the molar heat capacity of C6H14.