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0.047 moles

Explanation:

From the question,

Applying

PV = nRT Equation 1

Where P = Pressure of CH₄ gas, V = Volume of CH₄ gas, n = number of moles of CH₄ gas, R = Molar gas constant.

make n the subject of the equation

n = PV/RT Equation 2

Given: P = 660 torr = (660×0.00131579) atm = 0.868 atm, V = 1300 mL = (1300/1000) L = 1.3 L, T = 20 °C = (20+273) K = 293 K

Constant: R = 0.082 atm.dm³/K.mol

Substitute these values into equation 2

n = (0.868×1.3)/(0.082×293)

n = 1.1284/24.026

n = 0.047 mole

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