Error trying to mathematically manipulate Pandas DataFrame

Question

I have been trying to carry out some mathematical operations the DataFrame as follows:

Here is the data frame:

    DfD =

D1  D2  D3  D4  D5  D6  D7  D8  D9  I   ... P3  P4  P5  P6  P7  P8  P9  R   S   time
0   [0.0, 4.495308187547649e-06, 3.560980908381618...   [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 
0.0, 0.0, ...   [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, ...   [0.0, 0.0, 0.0, 0.0, 0.0, 
0.0, 0.0, 0.0, 0.0, ...   [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, ...   [0.0, 0.0, 0.0, 
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, ...   [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, ...   [0.0, 
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, ...   [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 
...   [10.0, 9.956694041903512, 9.913575624407693, 9...   ... [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 
0.0, 0.0, 0.0, ...   [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, ...   [0.0, 0.0, 0.0, 0.0, 
0.0, 0.0, 0.0, 0.0, 0.0, ...   [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, ...   [0.0, 0.0, 
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, ...   [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, ...   
[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, ...   [0.0, 0.08510849164745524, 
0.1669133041179413,...   [60.0, 59.99999725256998, 59.99997823553143, 5...   [0.0, 0.1, 0.2, 
0.30000000000000004, 0.4, 0.5,...

###Here is the code:


import pandas as pd
import numpy as np

### Defining constant parameters:
T=(100+273.15); # Operating temperature in degrees Kelvin,K.
R= 8.3145; #J.mol^-1.K^-1.

### Pre-defining the kinetic parameters we have:
f= 0.85;#2*89.91*math.exp(-14240/(T*R));
k_d = 4.340*10**(-2);                                               
k_p = 2.170*10**(7)*math.exp(-3.243*10**(7)/(T*R));
k_t = 8.2*10**(9)*math.exp(-1.145*10**(7)/(T*R));

### Mathematically Manipulating the DataFrame
np.seterr(invalid='ignore')
dfD = pd.DataFrame(d_result)
dfD = dfD.astype(float)
vpD=np.multiply(np.sqrt(np.true_divide((f*k_d*dfD['M']),k_t)),k_p*dfD['M'])
vpD

I got the Error message:

ValueError: Setting an array element with a sequence.