Answer: The temperature of the unknown gas is 191.4 K.
Explanation:
To calculate the temperature of the gas, we use ideal gas equation which is given as:
[tex]PV=nRT[/tex] .......(1)
Where
P = pressure of the gas = 5.5 atm
V = volume of gas = 12.0 L
n = number of moles = 4.2 moles
R = Gas constant = 0.0821 L.atm/mol.K
T = temperature of the gas = ?
Putting values in equation 1:
[tex]5.5atm\times 12.0L=4.2mol\times 0.0821L.atm/mol.K\times T\\\\T=\frac{5.5atm\times 12.0L}{4.2mol\times 0.0821L.atm/mol.K}\\\\T=191.4K[/tex]
Hence, the temperature of the unknown gas is 191.4 K.
