Question

Convert the following measurment

9.70 x 105 g/mol*L = ? kg/mol*dL

Answer 1

`97.0(kg)/(mol*dL)`

Explanation:

we know that 1 kg is equal to 1000 g and also we know that 1 L is equal to 10 dL then using a conversion factor we have:

`( 9.70* 10^(5) (1)/(10000) (kg)/(mol*dL) )`

Now we can eliminate the units of g and L and we have

]
`( 9.70* 10^(5) (1)/(10000) (kg)/(mol*dL) )=( 9.70* 10^(5) (1)/(1* 10^(4)) (kg)/(mol*dL) )=((9.70* 10^(5))/(1* 10^(4)) (kg)/(mol*dL) )`

Using the properties of exponents we have

`((9.70* 10^(5))/(1* 10^(4)) (kg)/(mol*dL) )=9.70* 10^(1)(kg)/(mol*dL)=97.0(kg)/(mol*dL)`