The tensile strength and number-average molecular weight for two poly(methyl methacrylate) materials are as follows: Tensile Strength (MPa) Number-Average Molecular Weight (g/mol) 36 30,000 150 50,000 Estimate the tensile strength at a number-average molecular weight of 46,000 g/mol. MPa

The required tensile strength is 175.13 MPa.

Explanation:

Given that,

Tensile strength(MPa)                Number Average Molecular weight(g/mol)

       36                                                               30,000

      150                                                               50,000

First we need to find out  tensile strength at infinity molecular weight.

The formula of tensile strength

TS is tensile strength, at infinity molecular weight, is molecular weight and A is constant.

Now substituting and

 ........(1)

Now substituting and

......(2)

Subtract (1) from (2)

Putting the value of A in equation (1)

        =361 MPa

Now to find the tensile strength at a number average molecular weight of 46,000 g/mol , Putting the value , TS and A

         = 175.13 MPa

The required tensile strength is 175.13 MPa.