Answer:
62.82 g
Step-by-step explanation:
From the question,
PV = nRT.................. Equation 1
Where P = Pressure, V = Volume, n = number of moles of argon, R = molar gas constant, T = Temperature.
But,
Number of mole (n) = mass (m)/molar mass(m')
n = m/m'................... Equation 2
Substitute equation 2 into equation 1
PV = (m/m')RT.............. Equation 3
From the question, we were asked to find m.
There make m the subject of formula in equation 3
m = PVm'/RT.............. Equation 4
Given: P = 2.45 atm, V = 25.4 L, T = 482 K
Constant: R = 0.082 atm.dm³.K⁻¹.mol⁻¹, m' = 39.9 g/mol
Substitute these values into equation 4
m = (2.45×25.4×39.9)/(0.082×482)
m = 62.82 g.