I need help answering this for my final review. I need to show work. Thanks in a

Question

I need help answering this for my final review. I need to show work.
Thanks in advance, 5. 3.0 moles of an ideal gas with a molar heat capacity at constant volume of 4.9 cal/(mol-K) and a molar heat capacity at constant pressure of 6.9 cal/(mol K) starts at 300 K and is heated at constant pressure to 320 K, then cooled at constant volume to its original temperature. How much heat flows into the gas during this two-step process? A) 710 cal B) -720 cal C) 0.00 cal D) 120 cal E) -120 cal ino tolres in 400O Lofhant and

Explanation / Answer

D) 120 cal

heat input at constant pressure,

Q1 = n*Cp*dt

= 3*6.9*(320-300)

= 414 cal

Heat output at constant volume,

Q2 = n*Cv*dT

= 3*4.9*(300 - 320)

= -294 cal

heat fown into the the gas = Q1 + Q2

= 414 - 294

= 120 cal

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