Consider an ideal gas of 7 moles that is in contact with a thermal reservoir of temperature 475 k. the gas is enclosed in a container that is allowed to expand and contract. if the initial volume of the gas is 0.50 m ³, find the pressure of the gas some time later after the volume has expanded to 1.50 m ³.

(a). The initial pressure is

(b). The final pressure is

Explanation:

Given that,

Number of moles = 7

Temperature = 475 K

Initial volume = 0.50 m³

Expanded volume = 1.50 m³

We need to calculate the initial pressure

Using formula of pressure

Put the value into the formula

We need to calculate the final pressure

Using formula of pressure

After expansion,

Put the value into the formula

For thermal process,

Hence, (a). The initial pressure is

(b). The final pressure is

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s