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12 . kinetic theory of gases — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics12 . kinetic theory of gases1 Mark
MCQ
The specific heat at constant volume for the monoatomic argon is $0.075\, kcal/kg-K,$ whereas its gram molecular specific heat ${C_V}$ $= 2.98\, cal/mole/K.$ The mass of the argon atom is

$(Avogadro’s \,number = 6.02 \times {10^{23}}\,molecules/mole)$

  • ✓
    $6.60 \times {10^{ - 23}}gm$
  • B
    $3.30 \times {10^{ - 23}}gm$
  • C
    $2.20 \times {10^{ - 23}}gm$
  • D
    $13.20 \times {10^{ - 23}}gm$
✓

Answer

Correct option: A.
$6.60 \times {10^{ - 23}}gm$
a
${C_V} = M\,{c_V}$ 

$\Rightarrow$ $M = \frac{{C_V}}{{c_V}}$

$\Rightarrow$  $M = \frac{{2.98}}{{0.075}} = 39.7\,gm$

$\Rightarrow$  mass of argon atom

$ = \frac{{39.7}}{{6.02 \times {{10}^{23}}}} = 6.6 \times {10^{ - 23}}gm$

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