Answer:
T2 ( final temperature ) = 576.9 K
a) 853.4 kJ/kg
b) 1422.3 kJ / kg
Explanation:
given data :
pressure ( P1 ) = 90 kPa
Temperature ( T1 ) = 30°c + 273 = 303 k
P2 = 450 kPa
Determine final temperature for an Isentropic process
----------- ( 1 )
T2 = 303 
= 576.9K
Work done in a piston-cylinder device can be calculated using this formula
------- ( 2 )
where : cv = 3.1156 kJ/kg.k for helium gas
T2 = 576.9K , T1 = 303 K
substitute given values Back to equation 2
= 853.4 kJ/kg
work done in a steady flow compressor can be calculated using this
where : cp ( constant pressure of helium gas ) = 5.1926 kJ/kg.K
T2 = 576.9 k , T1 = 303 K
substitute values back to equation 3
= 1422.3 kJ / kg
<h2>
Answer:</h2>
<u>x= 3</u>.
<h2>
Explanation:</h2>
<em>What is presented in this problem is basically an equation in verbal form.</em>
<em />
<h3>1. Write the equation.</h3>
<h3>2. Solve for x.</h3>
<h3>3. Express the result.</h3>
x= 3.
Answer:
-⅓ cos³ x + C
Explanation:
∫ cos² x sin x dx
If u = cos x, then du = -sin dx.
∫ -u² du
Integrate using power rule:
-⅓ u³ + C
Substitute back:
-⅓ cos³ x + C
It is to be noted that it is impossible to find the Maclaurin Expansion for F(x) = cotx.
<h3>What is
Maclaurin Expansion?</h3>
The Maclaurin Expansion is a Taylor series that has been expanded around the reference point zero and has the formula f(x)=f(0)+f′. (0) 1! x+f″ (0) 2! x2+⋯+f[n](0)n!
<h3>
What is the explanation for the above?</h3>
as indicated above, the Maclaurin infinite series expansion is given as:
F(x)=f(0)+f′. (0) 1! x+f″ (0) 2! x2+⋯+f[n](0)n!
If F(0) = Cot 0
F(0) = ∝ = 1/0
This is not definitive,
Hence, it is impossible to find the Maclaurin infinite series expansion for F(x) = cotx.
Learn more about Maclaurin Expansion at;
brainly.com/question/7846182
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