Question

Describe the relationship between the pressure and volume of a gas when temperature and mass are constant

Answer 1

Answer:

The product of Pressure and Volume is a constant.

Explanation:

We know the Ideal gas equation,

PV  =  nRT,

where,

P -  Pressure of the gas

V -  Volume of the gas

n -  No. of moles of the gas taken

R -  Universal Gas Constant.

T - Temperature of the gas.

We know that ,  n  =  $\frac{wt}{Mwt}$

where, wt - Mass of gass ; Mwt - Molecular weight of the gas.

We are given the weight of the gas remains constant (wt is a constant)

Therefore as n = $\frac{wt}{Mwt}$,(where both wt and Mwt are constants)

n is a constant in this process.

Universal gas constant is a constant

Given temperature is a constant.

Therefore,

As, PV = nRT,  (where n,R,T are constants),

PV is a constant.

Therefore we can say,

PV = k,  for some constant k.

If we plot a graph for P vs V , we get a Rectangular Hyperbola( One of the general forms of a Rectangular Hyperbola is xy = c)