MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Prince Kr. Tomar Grade: 11
        what is an ideal gas equation? express it mathematically.
7 years ago

Answers : (2)

SAGAR SINGH - IIT DELHI
879 Points
										

Dear prince,


By combining Boyle's and Charles' laws, an equation can be derived that gives the simultaneous effect of the changes of pressure and temperature on the volume of the gas. This is known as combined Ideal Gas Equation. A simple and direct method of deriving this equation is as follows:


According to Boyle's law, for a given mass of a gas at constant temperature


boyle s law

According to Charles' law,


Charles law

Combining (i) and (ii)


combination of boyle s and charles law

or



or



Now, if V1 is the volume of a gas at temperature T1 and pressure P1. V2 is the volume of same amount of gas at temperature T2 and pressure P2, then


relation between pressure volume temperature

The above relationship is very useful for converting the volume of a gas from one set of conditions to another.


The numerical value of the constant of proportionality (K) depends upon the quantity of gas. The volume of a gas is directly proportional to the number of moles of gas at constant temperature and pressure (Avogadro's law). This means that 'K' is directly proportional to the number of moles, 'n', i.e.,


K n


or K = nR,


where 'R' is the universal gas constant of proportionality. The value of 'R' is same for all gases.


However, the numerical value of 'R' varies with the units in which pressure and volume are expressed. Therefore the Ideal gas Equation is derived as:


 


ideal gas equation

For one mole (n = 1),


PV = RT (Ideal Gas Equation)


The Ideal Gas Equation is also known as the equation of state for gases as it expresses the quantitative relation ship between the four variables that describe the state of the gas. The word 'ideal' is used here because in reality no gas obeys the above condition and the gases, which deviate from ideality are called as real gases.


 


















We are all IITians and here to help you in your IIT JEE preparation.

All the best.


 If you like this answer please approve it....


win exciting gifts by answering the questions on Discussion Forum


 





Sagar Singh


B.Tech IIT Delhi



























7 years ago
OCEAN GODRE
40 Points
										

pv=nrt

7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details