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With increase in pressure, the bulk modulus of elasticity for an ideal gas
  • a)
    increases
  • b)
    decreases
  • c)
    remains constant
  • d)
    increases and then decreases
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
With increase in pressure, the bulk modulus of elasticity for an idea...
Consider an ideal gas initially at a state given by (p, V, T) If the ideal gas undergoes a polytropic process given by pVn = C, an infinitesimal change in state can be given as
d(pVn) = 0
⇒ pnVn−1 dV + dp Vn = 0
⇒ dp = − 1 / npdV − np dV / V
⇒dp / (−dV / V) = np
⇒ K = np
Thus Bulk modulus of an ideal gas is directly dependent upon pressure i.e., if p ↑ K ↑
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With increase in pressure, the bulk modulus of elasticity for an ideal gasa) increasesb) decreasesc) remains constantd) increases and then decreasesCorrect answer is option 'A'. Can you explain this answer?
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