COMEDK · Physics · 13. Thermodynamics
\(1 \mathrm{~mm}^{3}\) of a gas is compressed at 1 atmospheric pressure and temperature \(27^{\circ} \mathrm{C}\) to \(627^{\circ} \mathrm{C}\). What is the final pressure under adiabatic condition? \((\gamma\) for the gas \(=15\) )
- A \(27 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}\)
- B \(80 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}\)
- C \(36 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}\)
- D \(56 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}\)
Answer & Solution
Correct Answer
(A) \(27 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}\)
Step-by-step Solution
Detailed explanation
Given, \(V_{1}=1 \mathrm{~mm}^{3}\) \[ \begin{aligned} &=10^{-9} \mathrm{~m}^{3} \\ p_{1} &=1 \mathrm{~atm} \\ &=1 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2} \\ T_{1} &=27+273 \\ &=300 \mathrm{~K} \\ T_{2} &=627+273 \\ &=900 \mathrm{~K} \end{aligned} \] Under adiabatic…
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