SATHEE: Thermodynamics Question 309

Thermodynamics Question 309

Question: A diesel engine takes in 5 moles of air at $20^{\circ} C$ and 1 atm, and compresses it adiabatically to $\frac{1}{10} th$ of the original volume. If air is diatomic then work done and change in internal energy is

Options:

A) - 46 kJ, 46 kJ

B) 36 kJ, - 36 kJ

C) 46 kJ, - 46 kJ

D) - 36 kJ, 36 kJ

Show Answer

Answer:

Correct Answer: A

Solution:

[a]Let $p_{1} = 1$ atm, $n = 5 m o l, 293 K$

$V_{2} = \frac{V_{1}}{10}$

Using $T_{1} V_{1}^{γ - 1} = T_{2} V_{2}^{γ - 1}$

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

$= 293 {(10)}^{0.4} = 736 K$

Now, work done $= \frac{n R (T_{1} - T_{2})}{γ - 1}$

$= \frac{5 \times 8.3 \times (293 - 736)}{0.4} = - 46 k J$

and $Δ U = Δ Q - W = 0 - W = 46 k J$

Play Store

App Store

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Thermodynamics Question 309

Question: A diesel engine takes in 5 moles of air at 20∘C and 1 atm, and compresses it adiabatically to 110th of the original volume. If air is diatomic then work done and change in internal energy 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

Menu

Question: A diesel engine takes in 5 moles of air at $20^{\circ} C$ and 1 atm, and compresses it adiabatically to $\frac{1}{10} th$ of the original volume. If air is diatomic then work done and change in internal energy is