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JEE Main 202324 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
24 January
Shift
Morning Shift
Subject
Physics
Chapter
Thermodynamics

JEE Main 2023 · 24 January · Morning Shift · Physics · Thermodynamics

1g of a liquid is converted to vapour at 3 × 10 ^ 5 Pa pressure. If...

1g1g of a liquid is converted to vapour at 3×105Pa3 \times {10}^{5}Pa pressure. If 1010 % of the heat supplied is used for increasing the volume by 1600cm31600{cm}^{3} during this phase change, then the increase in internal energy in the process will be :

Options

  1. A4320J4320J
  2. B432000J432000J
  3. C4800J4800J
  4. D4.32×108J4 . 32 \times {10}^{8}J

Correct answer

A. 4320J4320J

Step-by-step solution

As pressure against which expansion is happening is constant, work done can be written as =P\DeltaV= P\DeltaV

=(3×105)×(1600×10−6)= \left(3 \times {10}^{5}\right) \times \left(1600 \times {10}^{- 6}\right)

=480J= 480J
As only 1010 % of heat is used in work done.
Hence \DeltaQ=W0.1=4800J\DeltaQ = \dfrac{W}{0 . 1} = 4800J
The rest goes in increase in internal energy, which is 9090 % of heat.
Change in internal energy =0.9×4800=4320J= 0 . 9 \times 4800 = 4320J

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