PV nRT The above mathematical equation is called the Ideal Gas Law. It gives an

Question

PV nRT The above mathematical equation is called the Ideal Gas Law. It gives an excellent approximation to the relationship between the pressure (P), volume (V), amount in moles (n), and temperature in Kelvin (T) of a gas. Studies of gases have shown that the ratio PV/nT has a nearly constant value. Gases for which PV/nT equals this value are called ideal gases. This special number is called the Ideal Gas Constant and is symbolized by the letter R. This law neglects intermolecular interactions and molecular volumes but usually can be applied as a reasonable approximation to all gases.* 1. How would you explain the ideal gas law in nonmathematical terms to a friend? 2. Answer the following questions by identifying how quantities in the Ideal Gas Law change to keep the PV/nT ratio constant. (a) If a gas in a sealed jar (V constant) is heated and the Kelvin temperature doubles, how large is the change in the pressure?

Explanation / Answer

1.

To explain it to a friend , you can say that Ideal gas law gives a relation between pressure , volume ,temperature and no. of moles.It gives the property of 4th one ,when we have other three properties known.In short it provides a mathematical realtion ,how the property of any variable depends on others.

For example:-

In a closed chamber say we have 5 mol gas at a temperature 300K and pressure = 10000 Pa , we can obtain the volume

PV = nRT

R = constant

P = pressure

V = volume

n = no. of moles

T = temperature

V = nRT/P = 5 mol x 8.314J/mol.K x 300K / 10000Pa = 1.2471 m3

similarly we can get to know other three properties

2.

we know that R is constant

PV/nT = constant = R

or P1V1/n1T1 = P2V2/n2T2 holds always true for ideal gas

it is closed chamber ,so no. of moles of gas should remain constant that is. n1 = n2

also given V1 = V2 = constant

T2 = 2T1 given

so now we can find P2

P1V1/n1T1 = P2V1/n12T1

P2 = 2P1

final pressure is twice the original pressure

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