SATHEE: Thermodynamics Question 285

Thermodynamics Question 285

Question: A diatomic ideal gas is used in a car engine as the working substance. If during the adiabatic expansion part of the cycle, volume of the gas increases from V to 32 V, the efficiency of the engine is

Options:

A) 0.5

B) 0.75

C) 0.99

D) 0.25

Show Answer

Answer:

Correct Answer: B

Solution:

[b] The efficiency of cycle is $η = 1 - \frac{T_{2}}{T_{1}}$

For adiabatic process $T V^{γ - 1} =$ constant

For diatomic gas $γ = \frac{7}{5}$

$T_{1} V_{1}^{γ - 1} = T_{2} V_{2}^{γ - 1} T_{1} = T_{2} {(\frac{V_{2}}{V_{1}})}^{γ - 1}$

$T_{1} = T_{2} {(32)}^{\frac{7}{5} - 1} = T_{2} {(2^{5})}^{2 / 5} = T_{2} \times 4$

$T_{1} = 4 T_{2}$

$∴ η = (1 - \frac{1}{4}) = \frac{3}{4} = 0.75$

Thermodynamics Question 285

Question: A diatomic ideal gas is used in a car engine as the working substance. If during the adiabatic expansion part of the cycle, volume of the gas increases from V to 32 V, the efficiency of the engine is

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Thermodynamics Question 285

Question: A diatomic ideal gas is used in a car engine as the working substance. If during the adiabatic expansion part of the cycle, volume of the gas increases from V to 32 V, the efficiency of the engine is

Options:

Answer:

Solution:

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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