6. A piston filled with 0.04 mole of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of 37.0°C. As it does so, it absorbs 208 J of heat. The values of q and W for the process will be (R = 8.314 J/mol K, In 7.5 = 2.01) (2013 Main) (a) q = + 208 J, W = - 208 (b) q = - 208 J.W = - 208 (c) q= -208, W = + 208 (d) q= + 208 J, W = + 208 J

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G. The process is isothermal expansion, hence [ begin{aligned} q &=-W Delta E &=0 W &=-2.303 n R T log frac{V_{2}}{V_{1}} &=-2.303 times 0.04 times 8.314 times 310 times log frac{335}{50} &=-208 mathrm{J} q &=+208, quad W=-208 quad text { (expansion work) } end{aligned} ]

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