Ethyl chloride, C2H5Cl, is used as a local anesthetic. It works by cooling tissue as it vaporizes. The heat of vaporization is 26.4 kJ/mol. How much heat could be removed by 10.0 g of ethyl chloride?

Respuesta :

Answer:

4.092 kJ

Explanation:

When a material vaporizes, it increases its own energy by absorbing energy from surroundings or a heat source. The specific molar heat of vaporization (kJ/mol) is the energy required to vaporize one mole of a substance. The total energy which can be absorbed by a given amount of material can be determined by multiplying the number of available moles by the specific molar heat of vaporization.

Step 1: Determine number of moles of ethyl chloride in 10.0g

a) Calculate molar mass of ethyl chloride

[tex] C_{2}H_{5}Cl [/tex]

[tex] C = 12g/mol [/tex]

[tex] H = 1g/mol [/tex]

[tex] Cl = 35.5g/mol [/tex]

[tex] molar mass = (C * 2) + (H * 5) + (Cl * 1) [/tex]

[tex] molar mass = (12 * 2) + (1 * 5) + (35.5 * 1) [/tex]

[tex] molar mass = 64.5g/mol [/tex]

b) Divide mass of ethyl chloride by its molar mass to determine 'n', number of moles

[tex] n = \frac{mass}{molar mass} [/tex]

[tex] n = \frac{10.0}{64.5} [/tex]

[tex] n = 0.155mol [/tex]

Step 2: Determine heat removed by available moles of ethyl chloride based on its specific heat of vaporization (v = 26.4 kJ/mol)

[tex] Q = n*v [/tex]

[tex] Q = 0.155*26.4 [/tex]

[tex] Q = 4.092kJ [/tex]