A sample has 2.00 mol of chains of M=1.0x10^4 and 1.00 mol of chains of M=4.0x10^4 g mol^-1. Using M_n=sum N_iM_i/sum N_i, M_w=sum N_iM_i^2/sum N_iM_i and PDI =M_w/M_n, select all the correct statements.

JEE Advanced levelOne or more correct optionsDifficulty 3 of 3pl163

A sample has 2.00 mol of chains of $M = 1.0 \times 1 0^{4}$ and 1.00 mol of chains of $M = 4.0 \times 1 0^{4} g mo l^{- 1}$ . Using $M_{n} = \sum N_{i} M_{i} / \sum N_{i}$ , $M_{w} = \sum N_{i} M_{i}^{2} / \sum N_{i} M_{i}$ and PDI $= M_{w} / M_{n}$ , select all the correct statements.

M_{n} = (2 \times 1 0^{4} + 1 \times 4 \times 1 0^{4}) /3 = 2.0 \times 1 0^{4}

M_{w} = (2 \times 1 0^{8} + 16 \times 1 0^{8}) / (6 \times 1 0^{4}) = 3.0 \times 1 0^{4}

. PDI

= 3.0/2.0 = 1.5

, not 2.0, and

2.5 \times 1 0^{4}

is the simple mean of the two masses, not

M_{n}