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Derive the kinetic theory equation pV=Nm/3(crms2) for an ideal gas.

Assume a point molecule in a container with dimensions l x by l y by l z travelling at velocity c 1 given by c 1 2 =u 1 2 +v 1 2 +w 1 2 ​​​​​​ where u, v, w are the x, y, and z velocity components. >each ...
MV
Answered by Maryna V. • Physics tutor
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Write a close analysis of this passage from Alice in Wonderland: Through the Looking Glass.

In Carroll’s classic novel “Through the Looking Glass”, relatively simple voice, language and structure are employed, owing to the text originally being written as a children’s book. This simplicity, however...
HM
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To what extent do you agree that a feminist reading of the first seven stanzas of “Daddy” by Sylvia Plath can reveal a previously unseen meaning? Answer briefly.

“Daddy” takes the reader on a journey through the author's personal experiences of paternal death, failed relationships and suicide attempts, leading to her eventual transformation from victim to woman. It o...
HM
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Let y=arcsin(x)/sqrt(1-x^2). Show that (1-x^2) y'-xy-1=0, and prove that, for all integers n>=0, (1-x^2)y^{n+2}-(2n+3)xy^{n+1} -(n+1)^2 y^{n}=0. (Superscripts denote repeated differentiation)

This is the first part of a STEP question (STEP 3, 2013, Q1), and is an example of a recurring pattern - "Induction Differential Equation". The first part is a computation, combining the chain and ...
DH
Answered by Daniel H. • STEP tutor
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(3 + root(a))(4 + root(a)) = 17 + k(root(a)) where a and k are positive integers. Find the value of a and the value of k.

Let's open out the bracket using the FOIL method (first, outside, inside, last): (3 + root(a))(4 + root(a)) = 12 + 3root(a) + 4root(a) + (root(a)) 2 = 12 + 7root(a) + a. Since the answer 17 + k(root(a)) is i...
AJ
Answered by Abhinav J. • Maths tutor
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