CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Potential Energy of an Object at a Height

In an air sta...

Question

In an air standard diesel cycle the fuel cut off ratio is 2. If the temperature at the start of compression stroke is $27^{\circ} C,$ then the temperature (in K) at the end of expansion stroke is __________.
(Rounded upto one decimal place)
791.7

Open in App

Solution

The correct option is A 791.7
$\begin{matrix} \frac{T_{4}}{T_{1}} & = \frac{T_{4}}{T_{3}} \times \frac{T_{3}}{T_{2}} \times \frac{T_{2}}{T_{1}} = {(\frac{V_{3}}{V_{4}})}^{γ - 1} \times (\frac{V_{3}}{V_{2}}) \times {(\frac{V_{1}}{V_{2}})}^{- 1} = {(\frac{V_{3}}{V_{4}} \times \frac{V_{1}}{V_{2}})}^{γ - 1} \times (\frac{V_{3}}{V_{2}}) = {(\frac{V_{3}}{V_{2}})}^{γ - 1} \times \frac{V_{3}}{V_{2}} & [∵ V_{4} = V_{1}] = {(\frac{V_{3}}{V_{2}})}^{T} = 2^{1.4} = 2.64 \Rightarrow T_{4} & = T_{1} \times 2.64 = 300 \times 2.64 = 791.7 K \end{matrix}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. A diesel engine has cut-off ratio is

2

and cut-off takes place at

5

% of the stroke. The air standard efficiency is ____ % Assume,

γ = 1.4

Q. An air-standard dual cycle has a compression ratio of 10. The pressure and temperature at the beginning of compressing are 1 bar and 27

^{\circ}

C. The temperature after constant volume heat addition is 987

^{\circ}

C and ned heat supplied to the cycle is 878 kJ/kg. What will be the cut-off ratio of the cycle?

[T a k e : c_{p} = 1.004 k J / k g K a n d c_{v} = 0.717 k j / k g K a n d γ = 1.4]

Q. In an air-standard diesel cycle with compressior ratio 15, the explosion is happening for

\frac{1}{20^{t h}}

of the stroke. The air standard efficiency of the cycle is_____%. For air,

γ = 1.41

Q. An ideal diesel engine has a diameter (bore) of 15 cm and stroke 20 cm. The clearance volume is 10 percent of the swept volume. If the cut-off takes place at 5 percent of the stroke, the air standard efficiency of the engine is _____%.

Q. A four-cylinder, four stroke petrol engine is to develop 40 kW at 40 rev/s, when it is designed for a volumetric compression ratio of 10.0 to 1. The ambient air- conditions are 1 bar and

18^{\circ} C

, and the calorific value of the fuel is 44 MJ/kg. If the indicated overall efficiency is 50% of the corresponding air-standard Otto cycle, and the mechanical efficiency is 90%, then the specific fuel consumption ____ g/MJ of brake work. The specific heat capacity ratio for air is 1.4. (Correct upto one decimal place).

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Potential Energy

PHYSICS

Watch in App

explore_more_icon

Explore more

Potential Energy of an Object at a Height

Standard X Physics

Join BYJU'S Learning Program

CrossIcon