Agas at 29.4 kpa is cooled from a temperature of 75°c to a temperature of 25°c at constant volume. what is the new pressure of the gas?

Answer : The new pressure of gas will be, 25.176 kPa

Solution :

Gay-Lussac's Law : It is defined as the pressure of the gas is directly proportional to the temperature of the gas at constant volume and number of moles.

or,

where,

= initial pressure of gas = 29.4 kPa

= final pressure of gas = ?

= initial temperature of gas =

= final temperature of gas =

Now put all the given values in the above equation, we get the final pressure of gas.

Therefore, the new pressure of gas will be, 25.176 kPa

yes it is balanced

first let us lay out the formula for potential

and kinetic energy:

pe = mgh

ke = (mv^2)/2

where: m=mass, v=velocity, g=gravitational

acceleration, h=height

calculating for mass using the known values of

pe:

340j = m (9.81 m/s^2) (50ft) (1m/3.28ft)

m = 2.27 kg

the law of conservation of energy states that

energy is neither created nor destroyed. therefore, the change in kinetic

energy from 50 ft to 35 ft would be equal to the change in potential energy

from 50 ft to 35 ft. however it would be opposite in signs since one is losing

while other is gaining.

ke(35ft) – ke(50ft) = - [ pe(35ft) – pe(50ft]

ke(50ft) = 0 since the brick is initially at rest

ke(35ft) = 340j - 2.27kg (9.81 m/s^2) (35ft)

(1m/3.28 ft)

ke(35ft)

= 102.38 j