Answered: An ideal gas undergoes an isobaric…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

An ideal gas undergoes an isobaric process at a pressure of 200 kPa. The volume of the gas, which contains 35 mol of particles, expands from 0.65m3 to a final volume of 1.4m3.

(a) How much work is done by/on the gas during this process?

(b) What are the initial and final temperatures of the gas?

(d) How much heat was gained/lost by the gas?

Expert Solution

Step 1

Work done by the gas is

$W = \int_{V_{1}}^{V_{2}} P d V = P \int_{V_{1}}^{V_{2}} d V = P (V_{2} - V_{1}) = 200 \times 10^{3} \times (1.4 - 0.65) = 150000 J$

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