Answer :
We can use the ideal gas law equation to get the volume of the sample:
PV = nRT
Where:
P = pressure (in atm)
V = volume (in liters)
n = number of moles
R = ideal gas constant (0.0821 L·atm/mol·K)
T = temperature (in Kelvin)
The temperature must first be converted from Celsius to Kelvin:
T(K) = T(°C) + 273.15
T(K) = 34 + 273.15 = 307.15 K
The values can now be entered into the ideal gas law equation as follows:
1.21 atm * V = 4.22 mol * 0.0821 L·atm/mol·K * 307.15 K
Simplifying the equation:
V = (4.22 mol * 0.0821 L·atm/mol·K * 307.15 K) / 1.21 atm
V = 87.886 L
The volume is roughly 87.9 L, rounded to three significant numbers.
Therefore, the correct option is A.
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