Answer: The volume of the gas is 178.76 L
Explanation:
The ideal gas equation is given as:
.......(1)
where
P = pressure of the gas = 675 torr
V = volume of gas = ?
n = number of moles of gas = 6.45 moles
R = Gas constant = 62.36 L.torr/mol.K
T = temperature of the gas = [tex]27^oC=[27+273]K=300K[/tex]
Putting values in equation 1, we get:
[tex]675torr\times V=6.45mol\times 62.36L.torr/mol.K\times 300K\\\\V=\frac{6.45\times 62.36\times 300}{675}=178.76 L[/tex]
Hence, the volume of the gas is 178.76 L
