Answer :
Final answer:
The molar mass of the gas is 170 g/mol.
Explanation:
To find the molar mass of the gas, we can use the ideal gas law equation:
PV = nRT
Given:
- Mass of the gas (m) = 1.70 g
- Pressure (P) = 0.788 atm
- Volume (V) = 1.00 L
- Temperature (T) = 94 °C = 94 + 273.15 = 367.15 K
- Ideal gas constant (R) = 0.08206 L atm/mol K
First, we need to convert the temperature from Celsius to Kelvin by adding 273.15.
Next, we can calculate the number of moles (n) using the rearranged ideal gas law equation:
n = PV / RT
Substituting the given values:
n = (0.788 atm)(1.00 L) / (0.08206 L atm/mol K)(367.15 K)
Simplifying the equation:
n = 0.0100 mol
Finally, we can calculate the molar mass (M) using the formula:
M = m / n
Substituting the given mass and number of moles:
M = 1.70 g / 0.0100 mol
M = 170 g/mol
Therefore, the molar mass of the gas is 170 g/mol.
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