Calculate the molar mass of an unknown gas if 11.69 g occupies 2.66 L at 0.987 atm of pressure and 22 oC.Question 19Answer108 g mol-1106 g mol-18.04 g mol-1287 g mol-11.09e4 g mol-1
Question
Calculate the molar mass of an unknown gas if 11.69 g occupies 2.66 L at 0.987 atm of pressure and 22 oC.Question 19Answer108 g mol-1106 g mol-18.04 g mol-1287 g mol-11.09e4 g mol-1
Solution
To calculate the molar mass of an unknown gas, we can use the ideal gas law equation, which is PV = nRT. However, we need to rearrange it to solve for the molar mass (M). The molar mass is the mass (m) divided by the number of moles (n), so M = m/n.
We can substitute n from the ideal gas law into this equation to get M = mRT/PV.
Given: m (mass) = 11.69 g R (ideal gas constant) = 0.0821 L.atm/K.mol T (temperature) = 22°C = 22 + 273.15 = 295.15 K P (pressure) = 0.987 atm V (volume) = 2.66 L
Substitute these values into the equation:
M = (11.69 g * 0.0821 L.atm/K.mol * 295.15 K) / (0.987 atm * 2.66 L)
Calculate the above expression to get the molar mass. The unit of the molar mass will be g/mol.
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