When 1367 J of heat energy is added to 44.1 g of hexane, C6H14, the temperature increases by 13.7 °C. Calculate the molar heat capacity of C6H14.

q = mass C6H15 x specific heat x delta T

Substitute and solve for specific heat.

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

Q = mcΔT

Where:
Q is the heat energy added (in Joules),
m is the mass of the substance (in grams),
c is the specific heat capacity of the substance (in J/g·°C), and
ΔT is the change in temperature (in °C).

First, we need to convert the mass of hexane to moles using its molar mass. The molar mass of C6H14 can be calculated as follows:

6(12.01 g/mol) + 14(1.01 g/mol) = 86.18 g/mol

Now, we can calculate the moles of hexane:

moles = mass / molar mass
moles = 44.1 g / 86.18 g/mol = 0.511 mol

Next, we can rearrange the formula to solve for the specific heat capacity (c):

c = Q / (m × ΔT)

Plugging in the given values:

c = 1367 J / (44.1 g × 13.7 °C) = 2.58 J/g·°C

Therefore, the molar heat capacity of C6H14 is 2.58 J/mol·°C.

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

q = mcΔT

Where:
q = heat energy (in joules)
m = mass of the substance (in grams)
c = specific heat capacity of the substance (in J/g°C)
ΔT = change in temperature (in °C)

Given:
Heat energy (q) = 1367 J
Mass (m) = 44.1 g
Change in temperature (ΔT) = 13.7 °C

First, let's convert the mass of hexane to moles by dividing it by its molar mass. The molar mass of hexane (C6H14) can be calculated by adding the atomic masses of carbon and hydrogen atoms:

(6 x atomic mass of carbon) + (14 x atomic mass of hydrogen)

Atomic mass of carbon = 12.01 g/mol
Atomic mass of hydrogen = 1.01 g/mol

So, the molar mass of hexane (C6H14) = (6 x 12.01) + (14 x 1.01)

Once you have the molar mass, divide the mass of hexane by its molar mass to get the number of moles:

Number of moles (n) = mass of hexane / molar mass of hexane

Now, we can calculate the molar heat capacity (C) using the formula:

C = q / (n x ΔT)

Substitute the given values into the formula and solve for C.

Remember to convert the mass of hexane to moles before calculating the heat capacity.

Let's walk through the process step-by-step:

1. Calculate the molar mass of hexane: (6 x 12.01) + (14 x 1.01) = ???
2. Convert the mass of hexane to moles: Number of moles (n) = 44.1 g / Molar mass of hexane
3. Calculate the molar heat capacity: C = 1367 J / (n x ΔT)

Considering the steps mentioned above, you can easily calculate the molar heat capacity of C6H14.

987.9J