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NEET 2017
Exam
NEET
Year
2017
Subject
Chemistry
Chapter
Thermodynamics (C)

NEET 2017 · Chemistry · Thermodynamics (C)

A gas is allowed to expand in a well-insulated container against a...

A gas is allowed to expand in a well-insulated container against a constant external pressure of2.5atm2 . 5atm from an initial volume of 2.50L2 . 50L to a final volume of 4.50L.4 . 50L . The change in internal energy ΔU\Delta U of the gas in joules will be

Options

  1. A1136.25J1136 . 25J.
  2. B−500J.- 500J .
  3. C−505J.- 505J .
  4. D+505J.+ 505J .

Correct answer

C. −505J.- 505J .

Step-by-step solution

ΔU=q+w\Delta U = q + w

For adiabatic process, q=0q = 0

∴ΔU=w∴ \Delta U = w

=−P⋅ΔV= - P ⋅ \Delta V

=−2.5atm×(4.5−2.5)L= - 2 .5 atm \times \left(4 .5 - 2 .5\right)L

=−2.5×2L−atm= - 2 .5 \times 2L - atm

=−5×101.3J= - 5 \times 101 .3 J

=−506.5J= - 506 .5 J

≈−505J\approx - 505J

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