A cylinder contains 2.90 mol of helium gas at a temperature of 300 K. (A) If the

Question

A cylinder contains 2.90 mol of helium gas at a temperature of 300 K. (A) If the gas is heated at constant volume, how much energy must be transferred by heat to the gas for its temperature to increase to 504 K? (B) How much energy must be transferred by heat to the gas at constant pressure to raise the temperature to 504 K? (A) If the gas is heated at constant volume, how much energy must be transferred by heat to the gas for its temperature to increase to 504 K? Conceptualize Run the process in your mind with the help of the piston-cylinder arrangement in the figure. Categorize Because the gas maintains a constant volume, the piston in the figure is locked in place. We evaluate parameters with equations developed in the preceding discussion, so this example is a substitution problem. Use the following equation to find the energy transfer: Substitute the given values: (B) How much energy must be transferred by heat to the gas at constant pressure to raise the temperature to 504 K? Categorize Because the gas maintains a constant pressure, the piston in the figure is free to move, so the piston is modeled as a particle in equilibrium. Use the following equation to find the energy transfer: Substitute the given values: What is the work done on the gas in the isobaric process?

Explanation / Answer

As

W = -delta(PV) = -delta (n R T)

Then

W = -n R (delta T)

As delta T = 204 K

Then

W = -4920 J   [ANSWER]

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