



Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Physics problems and solution about heat and thermodynamics
Typology: Assignments
1 / 5
This page cannot be seen from the preview
Don't miss anything!




Physics โ Problems and solutions
1. An ideal gas initially at 300 K undergoes an isobaric expansion at 2.5 kPa. If the volume increases from 1 ๐๐ 3 to 3 ๐๐ 3 and 12.5 kJ is transferred to the gas by heat, what are (a) the change in its internal energy and (b) its final temperature 2. An ideal gas is taken through a quasi-static process described by ๐๐ = ๐พ๐พ๐๐ 2 , with ๐พ๐พ = 5 ๐๐๐๐๐๐/๐๐ 6. The gas is expanded to twice its original volume of 1 ๐๐ 3. How much work is done on the expanding gas in this process? 3. ๐๐ moles of an ideal gas at temperature ๐๐ 1 and volume ๐๐ 1 expand isothermally until the volume has doubled. In terms of ๐๐, ๐๐ 1 and ๐๐ 1 , what are (a) the work done on the gas, and (b) the heat energy transferred to the gas?
Solutions:
1.
(a)
๐๐ = ๐๐ ๐ ๐ ๐๐๐๐ = (2.5 ร 10
(b)
For constant ๐๐,
๐๐ 1 ๐๐ 1 =^
Work Done
๐๐ = โ ๏ฟฝ ๐๐ ๐๐๐๐
= โ ๏ฟฝ ๐๐๐ ๐ ๐๐๐๐ ๐๐๐๐ ๐๐๐๐ ๐๐๐๐ = โ๐๐๐ ๐ ๐๐ ๏ฟฝ (^) ๐๐^1 ๐๐๐๐ ๐๐๐๐ ๐๐๐๐ = โ๐๐๐ ๐ ๐๐ ln ๏ฟฝ๐๐๐๐๐๐๐๐๏ฟฝ = โ๐๐๐ ๐ ๐๐ 1 ln(2)
Transferred Heat
Consider ฮ๐๐ = 0
๐๐ = ๐๐๐ ๐ ๐๐ 1 ln(2)