Question

Calculate the molar heat capasity of CH4, that has a specific heat capacity of 2.20 J g^-1 oC^-1. Molar mass of Carbon is 12.01 and hydrogen is 1.008 g mol^-1

Answer 1

The molar heat capacity of CH4 with a specific heat capacity of 2.20 J/g°C is calculated to be 35.2924 J/mol°C after determining methane's molar mass to be 16.042 g/mol.

Step-by-step explanation:

To calculate the molar heat capacity of methane (CH4), you must first determine the molar mass of methane. Methane has one carbon atom and four hydrogen atoms. Using the provided molar masses, carbon has a molar mass of 12.01 g/mol, and hydrogen has a molar mass of 1.008 g/mol. The molar mass of methane would be:

Molar mass of CH4 = (1 × 12.01 g/mol C) + (4 × 1.008 g/mol H) = 12.01 g/mol + 4.032 g/mol = 16.042 g/mol.

Now that we have the molar mass, multiply it by the specific heat capacity to find the molar heat capacity:

Molar heat capacity of CH4 = 16.042 g/mol × 2.20 J/g°C = 35.2924 J/mol°C.