How to solve this?

Question

Consider a gas cylinder containing 0.100 moles of an ideal gas in a volume of 3.300 L with a pressure of 1.00 atm. The cylinder is surrounded by a constant temperature bath at 400.0 K. With a constant external pressure of 5.00 atm, the cylinder is compressed to 0.660 L. Calculate the q(gas) in J for this compression process.

Answer 1

q = nRT ln[V2/V1]

q = (0.100 mol)(0.0821 Latm/Kmol)(400K) ln (0.660 L / 3.300 L)

q = 3.284 ln 0.2 = 3.284 * -1.61

q = -5.29 Latm

converting to joules we have...

q = -5.29 Latm x 101.325 J / Latm = -536 J