BITSAT 2014
- Exam
- BITSAT
- Year
- 2014
- Subject
- Physics
- Chapter
- Thermodynamics
BITSAT 2014 · Physics · Thermodynamics
One mole of O_ 2 gas having a volume equal to 22.4 Litres at 0^ C...
One mole of gas having a volume equal to 22.4 Litres at and 1 atmospheric pressure in compressed isothermally so that its volume reduces to 11.2 litres. The work done in this process is-
Options
- A
- B
- C
- D
Correct answer
D.
Step-by-step solution
Work done in adiabatic process, (\mathrm{W}=\mu \mathrm{RT} \log _{\mathrm{e}}\left(\frac{\mathrm{V}_{\mathrm{f}}}{\mathrm{V}_{\mathrm{i}}}\right))
(\mathrm{W}=1 \times 8.314 \times 273 \times \log _{\mathrm{e}}\left(\frac{11.2}{22.4}\right))
(\mathrm{W}=8.314 \times 273 \times \log _{\mathrm{e}}\left(\frac{1}{2}\right))
(\mathrm{W}=8.314 \times 273 \times\left[\log _{\mathrm{e}}(1)-\log _{\mathrm{e}}(2)\right])
(\mathrm{W}=8.314 \times 273 \times(0-0.69))
(\mathrm{W}=-1566.1 \mathrm{~J})