To solve this problem, we can use the ideal gas law, which relates the pressure, volume, temperature, and number of moles of a gas. The ideal gas law is given by:
PV = nRT
where:
P = pressure (in atm)
V = volume (in liters)
n = number of moles
R = gas constant (0.0821 L·atm/mol·K)
T = temperature (in Kelvin)
We can rearrange this equation to solve for the temperature:
T = PV / (nR)
Plugging in the given values, we get:
T = (15.6 atm) x (42 L) / (8 mol x 0.0821 L·atm/mol·K)
Simplifying this expression, we get:
T = 758.16 K
Therefore, the temperature of the gas is 758.16 K.