Molecular Physics | Thermodynamics Answers

what is temperature

Calculate the probability that the speed of a chlorine molecule will lie between 200 m s−1 and 220 m s1 at 300 K. Given that mass of chlorine molecule = 70u, kB = 1.38 × 1023 JK1 and NA = 6.02 × 1026 kmol1

A Carnot's engine whose low temperature reservoir is at 7°C has an efficiency 50%. 

By how many degrees should the temperature of the high temperature reservoir be increased to increase the efficiency to 70%?

One gram mole of a monoatomic perfect gas λ =5/3 at 27° C is adiabatically compressed from an initial pressure of 1 atm to final pressure of 50 atm. Calculate 

the resulting final temperature.

A resistor initially at 300 K has a heat capacity of 10 J K⁻¹ . It is thermally insulated from its surrounding and is connected to a battery from which it takes 1200 J through an electric current. Calculate the change in entropy of (i) the resistor, 

(ii) the surroundings.

For a given gas the coefficient of viscosity is 1.9 × 10⁻⁵ N s m⁻²

and the diffusion coefficient is 1.2 × 10⁻⁵ m² s⁻¹. Calculate the density and mean free path at average molecular velocity of 380 m s⁻¹.

Calculate the temperature at which the root mean square velocity of a chlorine molecule will be equal to its escape velocity from the earth’s gravitational field. 

Given that the radius of earth is 6400 km.

Calculate the probability that the speed of a chlorine molecule will lie between 200 m s^-1 and 220 m s^-1

at 300 K. Given that mass of chlorine molecule = 70u, k_B = 1.38 × 10^-23JK^-1 and NA = 6.02 × 1026 kmol

and N_A= 6.02×10²⁶ kmol⁻¹.

You are with your father with his motorbike on the way to your school, in the middle of your travel, the gas was empty. Luckily there is a gas station nearby. Your father asked you to buy 2 liters of 100 worth money per liters "premium" gasoline advertised with r=13. But you choose to buy 93 worth of money per 2 liters ordinary fuel with r=8. How much decrease in the ideal efficiency results from this decrease in the compression ratio? Use y=1.40. Is it greater that the difference in price?

For a given gas the coefficient of viscosity is 1.9 × 105 N s m2 and the diffusion coefficient is 1.2 × 105 m 2 s 1 . Calculate the density and mean free path at average molecular velocity of 380 m s1 .