Suppose 200 ft^3 of air measured at 15 psia and 90 f is withdrawn from a 50- ft^3 tank containing air initially at 100 psia and 140 f. what is the pressure of the remaining air in the tank if its temperature is 130f

Answer : The pressure of the remaining air in the tank is 115.56 atm.

Explanation :

First we have to calculate the moles of air.

where,

P = pressure of gas =

conversion used : (1 psia = 0.068046 atm)

V = volume of gas =

conversion used :

T = temperature of gas =

= number of moles of air = ?

R = gas constant = 0.0821 L.atm/mol.K

Now put all the given values in the ideal gas equation, we get:

Now we have to calculate the moles of air in tank initially.

where,

P = pressure of gas =

conversion used : (1 psia = 0.068046 atm)

V = volume of gas =

conversion used :

T = temperature of gas =

= number of moles of air = ?

R = gas constant = 0.0821 L.atm/mol.K

Now put all the given values in the ideal gas equation, we get:

Now we have to calculate the remaining moles in the tank.

Now we have to determine the pressure of the remaining air in the tank if its temperature is .

where,

P = pressure of gas = ?

V = volume of gas =

conversion used :

T = temperature of gas =

= number of moles of air = 121.67 mole

R = gas constant = 0.0821 L.atm/mol.K

Now put all the given values in the ideal gas equation, we get:

Therefore, the pressure of the remaining air in the tank is 115.56 atm.

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.