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# Two moles of helium are initially at a temperature of ISBN: 9780321675460 31

## Solution for problem 50P Chapter 19

University Physics | 13th Edition

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Problem 50P

Two moles of helium are initially at a temperature of 27.0°C and occupy a volume of 0.0300 m? . The helium first expands at constant pressure until its volume has doubled. Then it expands adiabatically until the temperature returns to its initial value. Assume that the helium can be treated as an ideal gas (a) Draw a diagram of the process in the ?pV – plane. (b)What is the total heat supplied to the helium in the process? (c) What is the total change in internal energy of the helium? (d) What is the total work done by the helium? (e) What is the final volume of the helium?

Step-by-Step Solution:

Solution 50P Step 1: Ideal gas equation, PV = nRT Where, P - Pressure of the gas V - volume of the gas n - Number of moles of the gas R - Universal gas constant T - temperature of the gas Step 2: Provided, n = 2 moles Therefore, initially, PV = 2RT 1 After that, it expands at constant pressure until the volume is getting doubled. That is, 2PV = 2RT 2 Therefore, We can say that, 2×2 RT = 2RT 1 2 Or, 2RT = RT 1 2 Or, T2 2T 1 Step 3: a) Step 4: b) Total heat supplied to the helium, Q = nC T V Provided, n = 2 moles, C for diVomic molecule = 5/2 R T = T - 2 = 1 - T1 T1 1 Provided, T = 1 = 27 + 273 = 300 K Therefore, Q = 2 × 5/2 R × 300 K Q = 2 × 5/2 × 8.314 J/mol K × 300 K = 12471 J

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##### ISBN: 9780321675460

The full step-by-step solution to problem: 50P from chapter: 19 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This full solution covers the following key subjects: helium, Volume, process, temperature, its. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “Two moles of helium are initially at a temperature of 27.0°C and occupy a volume of 0.0300 m? . The helium first expands at constant pressure until its volume has doubled. Then it expands adiabatically until the temperature returns to its initial value. Assume that the helium can be treated as an ideal gas (a) Draw a diagram of the process in the ?pV – plane. (b)What is the total heat supplied to the helium in the process? (c) What is the total change in internal energy of the helium? (d) What is the total work done by the helium? (e) What is the final volume of the helium?” is broken down into a number of easy to follow steps, and 109 words. This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 50P from 19 chapter was answered, more than 990 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460.

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