Using S ≈ N k, estimate the entropy of the sun.

Expert Solution

genius_generous answered 1 month ago

1. prove s(n, k) = s(n − 1, k − 1) − (n − 1)s(n −...

1. prove s(n, k) = s(n − 1, k − 1) − (n − 1)s(n − 1, k). 2. What is ∑n k=0 s(n, k)?

Entropy and the Sun The surface of the Sun has a temperature of 5500∘C and the...

Entropy and the Sun The surface of the Sun has a temperature of 5500∘C and the temperature of deep space is 3.0K.Find the entropy increase produced by the Sun in one day, given that it radiates heat at the rate of 3.80 ×1026W . Part B How much work could have been done if this heat had been used to run an ideal heat engine?

Explain how the internal entropy of a biomolecule can be approximated by S = k ln...

Explain how the internal entropy of a biomolecule can be approximated by S = k ln w

1. Using the solow growth model, given y(K) = k^0.4, S=0.20, depreciation rate=0.04 and n=1%, a....

1. Using the solow growth model, given y(K) = k^0.4, S=0.20, depreciation rate=0.04 and n=1%, a. What is the steady-state level of capital per worker? b. What is the steady-state of output per worker? c. What is the steady-state level of consumption per worker? 2. Now assume population growth is instead-0.5% (approximately the growth rate when every couple has 1.7 children), but that all other parameters stay the same. a. What is the new steady-state output per worker? Is it...

Let S={1,2,3,6} and define the relation ~ on S2 by (m,n) ~ (k,l) for m+l=n+k Show...

Let S={1,2,3,6} and define the relation ~ on S2 by (m,n) ~ (k,l) for m+l=n+k Show that it is an equivalent relation Find the number of different equivalent classes and write all of them

A very nice (an interesting) formula for the entropy of a system is S=−k∑=1p(ni) lnp(ni), where...

A very nice (an interesting) formula for the entropy of a system is S=−k∑=1p(ni) lnp(ni), where p(n) is the probability distribution. a. Show this equation holds for a binary system (N=2) using the formula for this multiplicity: Ω =N!/N1!N2! (hint: use Stirling’s approximation).b.Now use this equation and the equation for the probability distribution for a canonical ensemble to show that the entropy can be related to the partition function by S=k∂/∂T[TlnZ].

Let S_k(n) = 1^k + 2^k + ··· + n^k for n, k ≥ 1. Then,...

Let S_k(n) = 1^k + 2^k + ··· + n^k for n, k ≥ 1. Then, S_4(n) is given by S_4(n)= n(n+1)(2n+1)(3n^2 +3n−1)/ 30 Prove by mathematical induction.

The standard molar entropy of NO is 211 J K-1 mol-1. What is the standard entropy...

The standard molar entropy of NO is 211 J K-1 mol-1. What is the standard entropy of 3 moles of NO at 10 bar?

Using the Riemann Summ Estimate ln(4) a) n = 3 b) n = 4 c) n...

Using the Riemann Summ Estimate ln(4) a) n = 3 b) n = 4 c) n = 5

The production function is f(K,N) = N/2 + √ K, where N is the amount of...

The production function is f(K,N) = N/2 + √ K, where N is the amount of labor used and K the amount of capital used. (a) What is returns to scale of this production function? What is the marginal product of labor? (b) In the short run, K¯ = 4. Labor is variable. On the graph, draw output as a function of labor input in the short run in blue. Draw the marginal product of labor as a function of...

Question