0.8 g of a gas fills up a flask of 850 mL at 183.5 torr and 30˚C. The empirical formula of the gas is CHCl. What is the molecular formula of the gas?

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0.8 g of a gas fills up a flask of 850 mL at 183.5 torr and 30˚C. The empirical formula of the gas is CHCl. What is the molecular formula of the gas?

Expert Solution
Step 1

The expression of ideal gas law is shown below:

PV = nRT

Where,

P = pressure of the ideal gas

V = volume of the container

n = number of moles of gas

R = gas constant

T = temperature

Step 2

Given information:

Pressure of gas = 183.5 torr

Volume of the flask = 850 mL

Temperature = 300 C

Given mass of the gas = 0.8 g

The empirical formula of the gas = CHCl

Step 3

Empirical molecular weight = molar mass of C + molar mass of H + molar mass of Cl

                                             =12+1+35.5

                                             = 48.5

 

Step 4

number of moles of gas is calculated as shown below:

Chemistry homework question answer, step 4, image 1

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