SATHEE: Thermodynamics - Result Question 15

Thermodynamics - Result Question 15

16. A monoatomic gas at a pressure $P$ , having a volume $V$ expands isothermally to a volume $2 V$ and then adiabatically to a volume $16 V$ . The final pressure of the gas is : $(.$ take $. γ = \frac{5}{3})$

[2014]

(a) $64 P$

(b) $32 P$

(d) $16 P$

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Answer:

Correct Answer: 16. (c)

Solution:

$\Rightarrow P V = P_{2} (2 V) \Rightarrow P_{2} = \frac{P}{2}$

For adiabatic process

$\begin{aligned} P_{2} V_{2}^{γ} = P_{3} V_{3}^{γ} \\ . \Rightarrow (\frac{P}{2}) (2 v)^{γ} = P_{3} 16 v)^{γ} \\ \Rightarrow P_{3} = \frac{3}{2} (\frac{1}{8})^{5 / 3} = \frac{P}{64} \end{aligned}$

Thermodynamics - Result Question 15

16. A monoatomic gas at a pressure $P$ , having a volume $V$ expands isothermally to a volume $2 V$ and then adiabatically to a volume $16 V$ . The final pressure of the gas is : $(.$ take $. γ = \frac{5}{3})$

Answer:

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Thermodynamics - Result Question 15

16. A monoatomic gas at a pressure P, having a volume V expands isothermally to a volume 2V and then adiabatically to a volume 16V. The final pressure of the gas is : (. take .γ=53)

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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16. A monoatomic gas at a pressure $P$ , having a volume $V$ expands isothermally to a volume $2 V$ and then adiabatically to a volume $16 V$ . The final pressure of the gas is : $(.$ take $. γ = \frac{5}{3})$