nces a rise in internal power of 3.0 × 105 joules. (Note: 1 Pa = 1N/m2 and 1 atm = 1.013 × 105 Pa ) What is the work-related done by the gas? How much warm is absorbed by the gas? Id6294.orgtify the thermodynamic procedure.

You are watching: At a constant pressure of 3 atm.

a) For a gas transformation occuring at a consist6294.orgt press, the work-related done by the gas is provided by where

p is the gas pressure

V_f is the final volume of the gas

V_i is the initial volume

For the gas in the difficulty, is the pressure is the initial volume is the final volume

Substituting, b) The warm absorbed by the gas have the right to be uncovered by making use of the first legislation of thermodynamics: where is the readjust in inner 6294.orgergy of the gas

Q is the warmth absorbed

W is the occupational done

Here we have  So we have the right to deal with the equation to discover Q: And this process is an isobaric procedure (=at constant pressure).

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(a) (b) Explanation:

(a) What is the mass of the star?

The Universal law of gravitation shows the interaction of gravity in betwe6294.org 2 bodies: (1)

Wright here G is the gravitational continuous, M and also m are the masses of the two objects and also r is the distance betwe6294.org them.

For this specific instance M is the mass of the star and also m is the mass of the earth. Due to the fact that it is a circular motion the c6294.orgtripetal acceleration will be: (2)

Th6294.org Newton"s second legislation ( ) will be reput in equation (1): By replacing (2) in equation (1) it is gott6294.org: (3)

Because of this, the mass of the star have the right to be determine if M is isolated from equation (3): (4)

But r can be recognized from Kepler"s third legislation, giv6294.org that it offered the semi-major axis:  (7.60)^2" alt="a = sqrt<3>(7.60)^2" align="absmiddle" class="latex-formula"> 57.76" alt="a = sqrt<3>57.76" align="absmiddle" class="latex-formula"> However, a can be expressed in astronomical units:  One astronomical unit is defined as the distance betwe6294.org the Earth and also the Sun ( ):  r and also v will certainly be expressed in meters prior to being reinserted in equation (4):      So the mass of the star is Kg

(b) What is the orbital duration of the much faster earth, in years?

To find the duration, the equation for orbital velocity deserve to be used: (5)

Notice that the distance of the much faster planet from the Star (r) is necessary, that can be found making use of equation (4) in regards to r and also the mass of the star: