It takes 200 J of work to compress quasi-statically 0.40 mol of an ideal gas to one-fourth its original volume. Calculate the temperature of the gas (in K), assuming it remains constant during the compression.

Answer : The temperature of the gas is, 43.4 K

Explanation :

The expression used for work done will be,

where,

w = work done = 200 J

n = number of moles of gas  = 0.40 mol

R = gas constant = 8.314 J/mole K

T = temperature of gas  = ?

= initial volume of gas  = X

= final volume of gas  =

Now put all the given values in the above formula, we get :

Thus, the temperature of the gas is, 43.4 K

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.